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resource="http://mathhub.info/FrameIT/frameworld/MetaTheories.mmt#0.0.0:20627.388.0"/><meta property="http://cds.omdoc.org/?metadata?importedby"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMLIT type="http://www.openmath.org/cd?OpenMath?OMSTR" value="mmt-omdoc"/></om:OMOBJ></meta></metadata><instruction text="namespace http://mathhub.info/FrameIT/frameworld"/><instruction text="fixmeta http://cds.omdoc.org/urtheories?LF"/><opaque format="text"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/MetaTheories.mmt#125.5.0:253.5.128"/></metadata>MMT meta keys and value constructors for meta annotations of facts in situation theories and (input/output) facts in scrolls</opaque><mref name="[http://mathhub.info/FrameIT/frameworld?MetaAnnotations]" target="http://mathhub.info/FrameIT/frameworld?MetaAnnotations"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/MetaTheories.mmt#255.6.0:276.6.21"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?2DPoints]" target="http://mathhub.info/FrameIT/frameworld?2DPoints"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/MetaTheories.mmt#685.24.1:699.24.15"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?FrameITBasics]" target="http://mathhub.info/FrameIT/frameworld?FrameITBasics"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/MetaTheories.mmt#1094.48.0:1113.48.19"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?FrameITRectangles]" target="http://mathhub.info/FrameIT/frameworld?FrameITRectangles"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/MetaTheories.mmt#4442.108.0:4465.108.23"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?FrameITTriangles]" target="http://mathhub.info/FrameIT/frameworld?FrameITTriangles"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/MetaTheories.mmt#7539.158.0:7561.158.22"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?FrameITCircle]" target="http://mathhub.info/FrameIT/frameworld?FrameITCircle"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/MetaTheories.mmt#10873.202.0:10892.202.19"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?FrameITCone]" target="http://mathhub.info/FrameIT/frameworld?FrameITCone"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/MetaTheories.mmt#12860.240.0:12877.240.17"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?FrameITCylinder]" target="http://mathhub.info/FrameIT/frameworld?FrameITCylinder"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/MetaTheories.mmt#16217.295.0:16238.295.21"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?FrameITTheories]" target="http://mathhub.info/FrameIT/frameworld?FrameITTheories"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/MetaTheories.mmt#17125.318.0:17146.318.21"/></metadata></mref><opaque format="text"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/MetaTheories.mmt#20067.370.0:20162.370.95"/></metadata>The meta theory to use for situation theories, scroll problem, and scroll solution theories</opaque><mref name="[http://mathhub.info/FrameIT/frameworld?FrameworldMeta]" target="http://mathhub.info/FrameIT/frameworld?FrameworldMeta"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/MetaTheories.mmt#20164.371.0:20184.371.20"/></metadata></mref></omdoc> \ No newline at end of file +<omdoc base="http://mathhub.info/FrameIT/frameworld/MetaTheories.omdoc"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/MetaTheories.mmt#0.0.0:23461.452.0"/><meta property="http://cds.omdoc.org/?metadata?importedby"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMLIT type="http://www.openmath.org/cd?OpenMath?OMSTR" value="mmt-omdoc"/></om:OMOBJ></meta></metadata><instruction text="namespace http://mathhub.info/FrameIT/frameworld"/><instruction text="fixmeta http://cds.omdoc.org/urtheories?LF"/><opaque format="text"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/MetaTheories.mmt#125.5.0:253.5.128"/></metadata>MMT meta keys and value constructors for meta annotations of facts in situation theories and (input/output) facts in scrolls</opaque><mref name="[http://mathhub.info/FrameIT/frameworld?MetaAnnotations]" target="http://mathhub.info/FrameIT/frameworld?MetaAnnotations"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/MetaTheories.mmt#255.6.0:276.6.21"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?test1]" target="http://mathhub.info/FrameIT/frameworld?test1"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/MetaTheories.mmt#684.24.0:695.24.11"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?test2]" target="http://mathhub.info/FrameIT/frameworld?test2"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/MetaTheories.mmt#787.31.0:798.31.11"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?2DPoints]" target="http://mathhub.info/FrameIT/frameworld?2DPoints"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/MetaTheories.mmt#887.42.0:901.42.14"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?FrameITBasics]" target="http://mathhub.info/FrameIT/frameworld?FrameITBasics"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/MetaTheories.mmt#1296.66.0:1315.66.19"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?FrameITRectangles]" target="http://mathhub.info/FrameIT/frameworld?FrameITRectangles"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/MetaTheories.mmt#4802.127.0:4825.127.23"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?FrameITTriangles]" target="http://mathhub.info/FrameIT/frameworld?FrameITTriangles"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/MetaTheories.mmt#7899.177.0:7921.177.22"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?FrameITCircle]" target="http://mathhub.info/FrameIT/frameworld?FrameITCircle"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/MetaTheories.mmt#11233.221.0:11252.221.19"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?FrameITCone]" target="http://mathhub.info/FrameIT/frameworld?FrameITCone"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/MetaTheories.mmt#15479.300.0:15496.300.17"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?FrameITCylinder]" target="http://mathhub.info/FrameIT/frameworld?FrameITCylinder"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/MetaTheories.mmt#18893.355.0:18914.355.21"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?FrameITTheories]" target="http://mathhub.info/FrameIT/frameworld?FrameITTheories"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/MetaTheories.mmt#19856.378.0:19877.378.21"/></metadata></mref><opaque format="text"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/MetaTheories.mmt#22899.432.0:22994.432.95"/></metadata>The meta theory to use for situation theories, scroll problem, and scroll solution theories</opaque><mref name="[http://mathhub.info/FrameIT/frameworld?FrameworldMeta]" target="http://mathhub.info/FrameIT/frameworld?FrameworldMeta"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/MetaTheories.mmt#22996.433.0:23016.433.20"/></metadata></mref></omdoc> \ No newline at end of file diff --git a/narration/Scrolls/CircleScroll.omdoc b/narration/Scrolls/CircleScroll.omdoc new file mode 100644 index 0000000000000000000000000000000000000000..381010a8cd16b582173977a2cfa01f316b7d5876 --- /dev/null +++ b/narration/Scrolls/CircleScroll.omdoc @@ -0,0 +1,2 @@ +<?xml version="1.0" encoding="UTF-8"?> +<omdoc base="http://mathhub.info/FrameIT/frameworld/Scrolls/CircleScroll.omdoc"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/CircleScroll.mmt#0.0.0:5958.224.0"/><meta property="http://cds.omdoc.org/?metadata?importedby"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMLIT type="http://www.openmath.org/cd?OpenMath?OMSTR" value="mmt-omdoc"/></om:OMOBJ></meta></metadata><instruction text="namespace http://mathhub.info/FrameIT/frameworld"/><instruction text="fixmeta http://mathhub.info/FrameIT/frameworld?FrameworldMeta"/><opaque format="text"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/CircleScroll.mmt#80.5.0:85.8.0"/></metadata><scope></scope></opaque><mref name="[http://mathhub.info/FrameIT/frameworld?CircleScroll]" target="http://mathhub.info/FrameIT/frameworld?CircleScroll"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/CircleScroll.mmt#90.12.0:108.12.18"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?CircleAreaScroll]" target="http://mathhub.info/FrameIT/frameworld?CircleAreaScroll"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/CircleScroll.mmt#3529.110.1:3551.110.23"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?test]" target="http://mathhub.info/FrameIT/frameworld?test"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/CircleScroll.mmt#4672.142.1:4682.142.11"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?test2]" target="http://mathhub.info/FrameIT/frameworld?test2"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/CircleScroll.mmt#5332.173.0:5343.173.11"/></metadata></mref></omdoc> \ No newline at end of file diff --git a/narration/Scrolls/ConeVolumeScroll.omdoc b/narration/Scrolls/ConeVolumeScroll.omdoc new file mode 100644 index 0000000000000000000000000000000000000000..35de24331fb92c45cb277da896980956119a528e --- /dev/null +++ b/narration/Scrolls/ConeVolumeScroll.omdoc @@ -0,0 +1,2 @@ +<?xml version="1.0" encoding="UTF-8"?> +<omdoc base="http://mathhub.info/FrameIT/frameworld/Scrolls/ConeVolumeScroll.omdoc"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/ConeVolumeScroll.mmt#0.0.0:9055.257.0"/><meta property="http://cds.omdoc.org/?metadata?importedby"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMLIT type="http://www.openmath.org/cd?OpenMath?OMSTR" value="mmt-omdoc"/></om:OMOBJ></meta></metadata><instruction text="namespace http://mathhub.info/FrameIT/frameworld"/><instruction text="fixmeta http://mathhub.info/FrameIT/frameworld?FrameworldMeta"/><opaque format="text"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/ConeVolumeScroll.mmt#80.5.0:157.8.0"/></metadata>// This scrolls calculates the Volume of a cone with a circle as base. â™</opaque><mref name="[http://mathhub.info/FrameIT/frameworld?ConeProblem]" target="http://mathhub.info/FrameIT/frameworld?ConeProblem"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/ConeVolumeScroll.mmt#160.10.0:177.10.17"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll]" target="http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/ConeVolumeScroll.mmt#1647.55.0:1669.55.22"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem]" target="http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/ConeVolumeScroll.mmt#2668.80.0:2694.80.26"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll]" target="http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/ConeVolumeScroll.mmt#3253.101.1:3284.101.32"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll]" target="http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/ConeVolumeScroll.mmt#5145.138.0:5171.138.26"/></metadata></mref></omdoc> \ No newline at end of file diff --git a/narration/Scrolls/CylinderScroll.omdoc b/narration/Scrolls/CylinderScroll.omdoc new file mode 100644 index 0000000000000000000000000000000000000000..7f10c7b4f36dfbf6611fc282452d0e679cccad69 --- /dev/null +++ b/narration/Scrolls/CylinderScroll.omdoc @@ -0,0 +1,2 @@ +<?xml version="1.0" encoding="UTF-8"?> +<omdoc base="http://mathhub.info/FrameIT/frameworld/Scrolls/CylinderScroll.omdoc"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/CylinderScroll.mmt#0.0.0:3688.108.0"/><meta property="http://cds.omdoc.org/?metadata?importedby"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMLIT type="http://www.openmath.org/cd?OpenMath?OMSTR" value="mmt-omdoc"/></om:OMOBJ></meta></metadata><instruction text="namespace http://mathhub.info/FrameIT/frameworld"/><instruction text="fixmeta http://mathhub.info/FrameIT/frameworld?FrameworldMeta"/></omdoc> \ No newline at end of file diff --git a/narration/Scrolls/InterceptTheorem.omdoc b/narration/Scrolls/InterceptTheorem.omdoc new file mode 100644 index 0000000000000000000000000000000000000000..2ccc82ea6bc387b23583f1a69fcc382ad8b5cf6e --- /dev/null +++ b/narration/Scrolls/InterceptTheorem.omdoc @@ -0,0 +1,12 @@ +<?xml version="1.0" encoding="UTF-8"?> +<omdoc base="http://mathhub.info/FrameIT/frameworld/Scrolls/InterceptTheorem.omdoc"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/InterceptTheorem.mmt#0.0.0:3990.97.0"/><meta property="http://cds.omdoc.org/?metadata?importedby"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMLIT type="http://www.openmath.org/cd?OpenMath?OMSTR" value="mmt-omdoc"/></om:OMOBJ></meta></metadata><instruction text="namespace http://mathhub.info/FrameIT/frameworld"/><instruction text="fixmeta http://mathhub.info/FrameIT/frameworld?FrameworldMeta"/><opaque format="text"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/InterceptTheorem.mmt#80.5.0:241.17.0"/></metadata>S + /| + / | + / | + /___| + A C + / | + /______| + B D + +The scroll encodes the InterceptTheorem</opaque><mref name="[http://mathhub.info/FrameIT/frameworld?InterceptTheorem]" target="http://mathhub.info/FrameIT/frameworld?InterceptTheorem"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/InterceptTheorem.mmt#245.20.0:267.20.22"/></metadata></mref></omdoc> \ No newline at end of file diff --git a/narration/Scrolls/ParallelLines.omdoc b/narration/Scrolls/ParallelLines.omdoc new file mode 100644 index 0000000000000000000000000000000000000000..deaa7f0254c5d555051fdc9d3c313a83a449a194 --- /dev/null +++ b/narration/Scrolls/ParallelLines.omdoc @@ -0,0 +1,18 @@ +<?xml version="1.0" encoding="UTF-8"?> +<omdoc base="http://mathhub.info/FrameIT/frameworld/Scrolls/ParallelLines.omdoc"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/ParallelLines.mmt#0.0.0:3623.98.0"/><meta property="http://cds.omdoc.org/?metadata?importedby"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMLIT type="http://www.openmath.org/cd?OpenMath?OMSTR" value="mmt-omdoc"/></om:OMOBJ></meta></metadata><instruction text="namespace http://mathhub.info/FrameIT/frameworld"/><instruction text="fixmeta http://mathhub.info/FrameIT/frameworld?FrameworldMeta"/><opaque format="text"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/ParallelLines.mmt#80.5.0:285.23.0"/></metadata>S + /| + / | + / | + /___| + A C + / | + /______| + B D + + +D ----- C +| | +| | +A ------B + +The scroll encodes the InterceptTheorem .</opaque><mref name="[http://mathhub.info/FrameIT/frameworld?ParallelLines]" target="http://mathhub.info/FrameIT/frameworld?ParallelLines"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/ParallelLines.mmt#289.26.0:308.26.19"/></metadata></mref></omdoc> \ No newline at end of file diff --git a/narration/Scrolls/PlaneLineAngleScroll.omdoc b/narration/Scrolls/PlaneLineAngleScroll.omdoc new file mode 100644 index 0000000000000000000000000000000000000000..5d567d7cf138e9c0d039be7bc11f9041277e3bc1 --- /dev/null +++ b/narration/Scrolls/PlaneLineAngleScroll.omdoc @@ -0,0 +1,2 @@ +<?xml version="1.0" encoding="UTF-8"?> +<omdoc base="http://mathhub.info/FrameIT/frameworld/Scrolls/PlaneLineAngleScroll.omdoc"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/PlaneLineAngleScroll.mmt#0.0.0:3621.96.0"/><meta property="http://cds.omdoc.org/?metadata?importedby"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMLIT type="http://www.openmath.org/cd?OpenMath?OMSTR" value="mmt-omdoc"/></om:OMOBJ></meta></metadata><instruction text="namespace http://mathhub.info/FrameIT/frameworld"/><instruction text="fixmeta http://mathhub.info/FrameIT/frameworld?FrameworldMeta"/><opaque format="text"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/PlaneLineAngleScroll.mmt#80.5.0:157.8.0"/></metadata>// This scrolls calculates the Volume of a cone with a circle as base. â™</opaque><mref name="[http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll]" target="http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/PlaneLineAngleScroll.mmt#165.15.0:192.15.27"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll]" target="http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/PlaneLineAngleScroll.mmt#1662.48.0:1696.48.34"/></metadata></mref></omdoc> \ No newline at end of file diff --git a/narration/Scrolls/TriangulationFunction.omdoc b/narration/Scrolls/TriangulationFunction.omdoc new file mode 100644 index 0000000000000000000000000000000000000000..4907478fdaaac19a5661c4943a2c6aa63fe1495f --- /dev/null +++ b/narration/Scrolls/TriangulationFunction.omdoc @@ -0,0 +1,2 @@ +<?xml version="1.0" encoding="UTF-8"?> +<omdoc base="http://mathhub.info/FrameIT/frameworld/Scrolls/TriangulationFunction.omdoc"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/TriangulationFunction.mmt#0.0.0:0.0.0"/><meta property="http://cds.omdoc.org/?metadata?importedby"><om:OMOBJ xmlns:om="http://www.openmath.org/OpenMath"><om:OMLIT type="http://www.openmath.org/cd?OpenMath?OMSTR" value="mmt-omdoc"/></om:OMOBJ></meta></metadata></omdoc> \ No newline at end of file diff --git a/relational/MetaTheories.rel b/relational/MetaTheories.rel index 6b8fa1982acbe47a182d7f0fba9ba416ab6d3a05..352653f595342331291480db90173b6eb4981f60 100644 --- a/relational/MetaTheories.rel +++ b/relational/MetaTheories.rel @@ -1,5 +1,7 @@ document http://mathhub.info/FrameIT/frameworld/MetaTheories.omdoc Declares http://mathhub.info/FrameIT/frameworld/MetaTheories.omdoc http://mathhub.info/FrameIT/frameworld?MetaAnnotations +Declares http://mathhub.info/FrameIT/frameworld/MetaTheories.omdoc http://mathhub.info/FrameIT/frameworld?test1 +Declares http://mathhub.info/FrameIT/frameworld/MetaTheories.omdoc http://mathhub.info/FrameIT/frameworld?test2 Declares http://mathhub.info/FrameIT/frameworld/MetaTheories.omdoc http://mathhub.info/FrameIT/frameworld?2DPoints Declares http://mathhub.info/FrameIT/frameworld/MetaTheories.omdoc http://mathhub.info/FrameIT/frameworld?FrameITBasics Declares http://mathhub.info/FrameIT/frameworld/MetaTheories.omdoc http://mathhub.info/FrameIT/frameworld?FrameITRectangles diff --git a/relational/Scrolls/CircleScroll.rel b/relational/Scrolls/CircleScroll.rel new file mode 100644 index 0000000000000000000000000000000000000000..ebb888c23d9a46f5880151d133b8c63645021ea8 --- /dev/null +++ b/relational/Scrolls/CircleScroll.rel @@ -0,0 +1,5 @@ +document http://mathhub.info/FrameIT/frameworld/Scrolls/CircleScroll.omdoc +Declares http://mathhub.info/FrameIT/frameworld/Scrolls/CircleScroll.omdoc http://mathhub.info/FrameIT/frameworld?CircleScroll +Declares http://mathhub.info/FrameIT/frameworld/Scrolls/CircleScroll.omdoc http://mathhub.info/FrameIT/frameworld?CircleAreaScroll +Declares http://mathhub.info/FrameIT/frameworld/Scrolls/CircleScroll.omdoc http://mathhub.info/FrameIT/frameworld?test +Declares http://mathhub.info/FrameIT/frameworld/Scrolls/CircleScroll.omdoc http://mathhub.info/FrameIT/frameworld?test2 diff --git a/relational/Scrolls/ConeVolumeScroll.rel b/relational/Scrolls/ConeVolumeScroll.rel new file mode 100644 index 0000000000000000000000000000000000000000..dfab1e7ad6c96f2cf4e1b21f5ed35d4e01d939b3 --- /dev/null +++ b/relational/Scrolls/ConeVolumeScroll.rel @@ -0,0 +1,6 @@ +document http://mathhub.info/FrameIT/frameworld/Scrolls/ConeVolumeScroll.omdoc +Declares http://mathhub.info/FrameIT/frameworld/Scrolls/ConeVolumeScroll.omdoc http://mathhub.info/FrameIT/frameworld?ConeProblem +Declares http://mathhub.info/FrameIT/frameworld/Scrolls/ConeVolumeScroll.omdoc http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll +Declares http://mathhub.info/FrameIT/frameworld/Scrolls/ConeVolumeScroll.omdoc http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem +Declares http://mathhub.info/FrameIT/frameworld/Scrolls/ConeVolumeScroll.omdoc http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll +Declares http://mathhub.info/FrameIT/frameworld/Scrolls/ConeVolumeScroll.omdoc http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll diff --git a/relational/Scrolls/CylinderScroll.rel b/relational/Scrolls/CylinderScroll.rel new file mode 100644 index 0000000000000000000000000000000000000000..94fd21eb847f274af2b53ab1f7a4d44263813918 --- /dev/null +++ b/relational/Scrolls/CylinderScroll.rel @@ -0,0 +1 @@ +document http://mathhub.info/FrameIT/frameworld/Scrolls/CylinderScroll.omdoc diff --git a/relational/Scrolls/InterceptTheorem.rel b/relational/Scrolls/InterceptTheorem.rel new file mode 100644 index 0000000000000000000000000000000000000000..751d3a9f3cfe630fb5c6b41b8c8c2d0fcb5a7403 --- /dev/null +++ b/relational/Scrolls/InterceptTheorem.rel @@ -0,0 +1,2 @@ +document http://mathhub.info/FrameIT/frameworld/Scrolls/InterceptTheorem.omdoc +Declares http://mathhub.info/FrameIT/frameworld/Scrolls/InterceptTheorem.omdoc http://mathhub.info/FrameIT/frameworld?InterceptTheorem diff --git a/relational/Scrolls/ParallelLines.rel b/relational/Scrolls/ParallelLines.rel new file mode 100644 index 0000000000000000000000000000000000000000..a56d9635c0ad51dee7c6de96a6e604a996bbbc40 --- /dev/null +++ b/relational/Scrolls/ParallelLines.rel @@ -0,0 +1,2 @@ +document http://mathhub.info/FrameIT/frameworld/Scrolls/ParallelLines.omdoc +Declares http://mathhub.info/FrameIT/frameworld/Scrolls/ParallelLines.omdoc http://mathhub.info/FrameIT/frameworld?ParallelLines diff --git a/relational/Scrolls/PlaneLineAngleScroll.rel b/relational/Scrolls/PlaneLineAngleScroll.rel new file mode 100644 index 0000000000000000000000000000000000000000..8e19e2c67925a2cdf9813870dc0c35def6eeb8f0 --- /dev/null +++ b/relational/Scrolls/PlaneLineAngleScroll.rel @@ -0,0 +1,3 @@ +document http://mathhub.info/FrameIT/frameworld/Scrolls/PlaneLineAngleScroll.omdoc +Declares http://mathhub.info/FrameIT/frameworld/Scrolls/PlaneLineAngleScroll.omdoc http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll +Declares http://mathhub.info/FrameIT/frameworld/Scrolls/PlaneLineAngleScroll.omdoc http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll diff --git a/relational/Scrolls/TriangulationFunction.rel b/relational/Scrolls/TriangulationFunction.rel new file mode 100644 index 0000000000000000000000000000000000000000..09ac1622ea353360c001420afcda5250490d2f94 --- /dev/null +++ b/relational/Scrolls/TriangulationFunction.rel @@ -0,0 +1 @@ +document http://mathhub.info/FrameIT/frameworld/Scrolls/TriangulationFunction.omdoc diff --git a/relational/http..cds.omdoc.org/mmt/$Cylinder$Volume$Scroll.rel b/relational/http..cds.omdoc.org/mmt/$Cylinder$Volume$Scroll.rel new file mode 100644 index 0000000000000000000000000000000000000000..3d7e558514ef59417f963831bc564b20c360284c --- /dev/null +++ b/relational/http..cds.omdoc.org/mmt/$Cylinder$Volume$Scroll.rel @@ -0,0 +1,36 @@ +theory http://cds.omdoc.org/mmt?CylinderVolumeScroll +Declares http://cds.omdoc.org/mmt?CylinderVolumeScroll http://cds.omdoc.org/mmt?CylinderVolumeScroll?Problem +theory http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem +Declares http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem?I1 +constant http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem?I1 +Declares http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem?I2 +constant http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem?I2 +Declares http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem?circle1 +constant http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem?circle1 +Declares http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem?circle2 +constant http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem?circle2 +Declares http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem?heightLine +constant http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem?heightLine +Declares http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem?height +constant http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem?height +Declares http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem?area_base +constant http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem?area_base +Declares http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem?orthHeiBase +constant http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem?orthHeiBase +Declares http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem?orthHeiTop +constant http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem?orthHeiTop +Declares http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem?I1_on_H +constant http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem?I1_on_H +Declares http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem?I2_on_H +constant http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem?I2_on_H +Declares http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem?I1_on_C +constant http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem?I1_on_C +Declares http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem?I2_on_C +constant http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem?I2_on_C +Declares http://cds.omdoc.org/mmt?CylinderVolumeScroll http://cds.omdoc.org/mmt?CylinderVolumeScroll?Solution +theory http://cds.omdoc.org/mmt?CylinderVolumeScroll/Solution +Includes http://cds.omdoc.org/mmt?CylinderVolumeScroll/Solution http://cds.omdoc.org/mmt?CylinderVolumeScroll/Problem +Declares http://cds.omdoc.org/mmt?CylinderVolumeScroll/Solution http://cds.omdoc.org/mmt?CylinderVolumeScroll/Solution?deduceCylinder +constant http://cds.omdoc.org/mmt?CylinderVolumeScroll/Solution?deduceCylinder +Declares http://cds.omdoc.org/mmt?CylinderVolumeScroll/Solution http://cds.omdoc.org/mmt?CylinderVolumeScroll/Solution?deduceVolume +constant http://cds.omdoc.org/mmt?CylinderVolumeScroll/Solution?deduceVolume diff --git a/relational/http..mathhub.info/FrameIT/frameworld/$Circle$Area$Scroll.rel b/relational/http..mathhub.info/FrameIT/frameworld/$Circle$Area$Scroll.rel new file mode 100644 index 0000000000000000000000000000000000000000..b88832b10d6d809bcbbc35274fce418ed2c21ac1 --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/$Circle$Area$Scroll.rel @@ -0,0 +1,47 @@ +theory http://mathhub.info/FrameIT/frameworld?CircleAreaScroll +HasMeta http://mathhub.info/FrameIT/frameworld?CircleAreaScroll http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?CircleAreaScroll http://mathhub.info/FrameIT/frameworld?CircleAreaScroll?Problem +theory http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem +HasMeta http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?cir +constant http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?cir +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?cir?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +Declares http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?radiusC +constant http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?radiusC +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?radiusC?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleRadius?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?radiusC?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?radiusC?type http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?cir?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?radiusC?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?radiusC?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?radiusC?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?radiusC?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?radiusC?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?CircleAreaScroll http://mathhub.info/FrameIT/frameworld?CircleAreaScroll?Solution +theory http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution +HasMeta http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Includes http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem +Declares http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution?deduceArea +constant http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution?deduceArea +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution?deduceArea?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution?deduceArea?type http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?cir?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution?deduceArea?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution?deduceArea?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution?deduceArea?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution?deduceArea?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution?deduceArea?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution?deduceArea?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution?deduceArea?definition http://cds.omdoc.org/urtheories?Strings?string?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution?deduceArea?definition http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution?deduceArea?definition http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?cir?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution?deduceArea?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution?deduceArea?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution?deduceArea?definition http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution?deduceArea?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution?deduceArea?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution?deduceArea?definition http://cds.omdoc.org/urtheories?Ded?DED?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution?deduceArea?definition http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?radiusC?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution?deduceArea?definition http://mathhub.info/MitM/Foundation?Trigonometry?pi_num?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution?deduceArea?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution?deduceArea?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution?deduceArea?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution?deduceArea?definition http://mathhub.info/MitM/Foundation?Logic?prop?type diff --git a/relational/http..mathhub.info/FrameIT/frameworld/$Circle$Circumference.rel b/relational/http..mathhub.info/FrameIT/frameworld/$Circle$Circumference.rel new file mode 100644 index 0000000000000000000000000000000000000000..94b731da56f3927d2d6141f7bf6c4c9d707349bb --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/$Circle$Circumference.rel @@ -0,0 +1,60 @@ +theory http://mathhub.info/FrameIT/frameworld?CircleCircumference +HasMeta http://mathhub.info/FrameIT/frameworld?CircleCircumference http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?CircleCircumference http://mathhub.info/FrameIT/frameworld?CircleCircumference?Problem +theory http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem +HasMeta http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem?M +constant http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem?M +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem?M?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem?M?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem?E +constant http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem?E +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem?E?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem?E?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem?distanceME +constant http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem?distanceME +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem?distanceME?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem?distanceME?type http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem?E?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem?distanceME?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem?distanceME?type http://mathhub.info/MitM/core/geometry?Geometry/Common?metric?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem?distanceME?type http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem?M?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem?distanceME?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem?distanceME?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem?distanceME?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem?distanceME?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?CircleCircumference http://mathhub.info/FrameIT/frameworld?CircleCircumference?Solution +theory http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution +HasMeta http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Includes http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem +Declares http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference +constant http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?type http://mathhub.info/FrameIT/frameworld?cheaty?circum_circle?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?type http://mathhub.info/FrameIT/frameworld?cheaty?circleOf?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?type http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem?E?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?type http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem?M?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?definition http://cds.omdoc.org/urtheories?Strings?string?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?definition http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?definition http://mathhub.info/FrameIT/frameworld?cheaty?circum_circle?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?definition http://mathhub.info/FrameIT/frameworld?cheaty?circleOf?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?definition http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem?distanceME?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?definition http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?definition http://cds.omdoc.org/urtheories?Ded?DED?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?definition http://mathhub.info/MitM/Foundation?Trigonometry?pi_num?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?definition http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem?E?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?definition http://mathhub.info/FrameIT/frameworld?CircleCircumference/Problem?M?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleCircumference/Solution?deduceCircumference?definition http://mathhub.info/MitM/Foundation?Logic?prop?type diff --git a/relational/http..mathhub.info/FrameIT/frameworld/$Circle$Line$Angle$Scroll.rel b/relational/http..mathhub.info/FrameIT/frameworld/$Circle$Line$Angle$Scroll.rel new file mode 100644 index 0000000000000000000000000000000000000000..1ba797a2a4fb1ce4dbf1fa6e94f379e705dfc719 --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/$Circle$Line$Angle$Scroll.rel @@ -0,0 +1,82 @@ +theory http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll +HasMeta http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll?Problem +theory http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem +HasMeta http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?C +constant http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?C +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?C?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +Declares http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?L +constant http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?L +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?L?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +Declares http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A +constant http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A_on_L +constant http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A_on_L +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A_on_L?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A_on_L?type http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A_on_L?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A_on_L?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A_on_L?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A_on_L?type http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?L?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A_on_L?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A_on_L?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A_on_L?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A_on_C +constant http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A_on_C +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A_on_C?type http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A_on_C?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A_on_C?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A_on_C?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A_on_C?type http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?C?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A_on_C?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A_on_C?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A_on_C?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A_on_C?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A_on_C?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll?Solution +theory http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution +HasMeta http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Includes http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem +Declares http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle +constant http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?type http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?C?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?type http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?L?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?subtractPointPoint?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?definition http://cds.omdoc.org/urtheories?Strings?string?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?directionLine?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circlePlane?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?radToDegree?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?basepoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?L?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?targetpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?definition http://cds.omdoc.org/urtheories?Ded?DED?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?C?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/Foundation?Logic?prop?type diff --git a/relational/http..mathhub.info/FrameIT/frameworld/$Circle$Line$Angle$To$Angle$Scroll.rel b/relational/http..mathhub.info/FrameIT/frameworld/$Circle$Line$Angle$To$Angle$Scroll.rel new file mode 100644 index 0000000000000000000000000000000000000000..797e6217b799280db24a4fd6d43653576817ef30 --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/$Circle$Line$Angle$To$Angle$Scroll.rel @@ -0,0 +1,123 @@ +theory http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll +HasMeta http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll?Problem +theory http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem +HasMeta http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?C +constant http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?C +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?C?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +Declares http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?L +constant http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?L +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?L?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +Declares http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?orthogonalCircleLine +constant http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?orthogonalCircleLine +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?orthogonalCircleLine?type http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?L?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?orthogonalCircleLine?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?orthogonalCircleLine?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?orthogonalCircleLine?type http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?C?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?orthogonalCircleLine?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?orthogonalCircleLine?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?orthogonalCircleLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?orthogonalCircleLine?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?orthogonalCircleLine?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?orthogonalCircleLine?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?planeLineAngle +constant http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?planeLineAngle +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?planeLineAngle?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?planeLineAngle?type http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?L?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?planeLineAngle?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?planeLineAngle?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?planeLineAngle?type http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?C?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?planeLineAngle?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?planeLineAngle?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?planeLineAngle?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?planeLineAngle?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?planeLineAngle?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?A +constant http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?A +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?A?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?A?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B +constant http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?P +constant http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?P +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?P?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?P?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?A_on_L +constant http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?A_on_L +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?A_on_L?type http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?L?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?A_on_L?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?A_on_L?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?A_on_L?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?A_on_L?type http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?A?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?A_on_L?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?A_on_L?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?A_on_L?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?A_on_L?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B_on_L +constant http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B_on_L +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B_on_L?type http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?L?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B_on_L?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B_on_L?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B_on_L?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B_on_L?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B_on_L?type http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B_on_L?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B_on_L?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B_on_L?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B_on_C +constant http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B_on_C +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B_on_C?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B_on_C?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B_on_C?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B_on_C?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B_on_C?type http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?C?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B_on_C?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B_on_C?type http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B_on_C?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B_on_C?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B_on_C?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?P_on_C +constant http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?P_on_C +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?P_on_C?type http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?P?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?P_on_C?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?P_on_C?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?P_on_C?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?P_on_C?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?P_on_C?type http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?C?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?P_on_C?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?P_on_C?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?P_on_C?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?P_on_C?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll?Solution +theory http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Solution +HasMeta http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Solution http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Includes http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Solution http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem +Declares 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http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Solution?deduceAngle?type http://mathhub.info/MitM/core/geometry?Geometry/Common?angle_between?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Solution?deduceAngle?type http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Solution?deduceAngle?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Solution?deduceAngle?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Solution?deduceAngle?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Solution?deduceAngle?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Solution?deduceAngle?definition http://cds.omdoc.org/urtheories?Strings?string?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Solution?deduceAngle?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Solution?deduceAngle?definition http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?P?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Solution?deduceAngle?definition http://cds.omdoc.org/urtheories?Ded?DED?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Solution?deduceAngle?definition http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?A?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Solution?deduceAngle?definition http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?planeLineAngle?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?angle_between?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Solution?deduceAngle?definition http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/Foundation?Logic?prop?type diff --git a/relational/http..mathhub.info/FrameIT/frameworld/$Circle$Scroll.rel b/relational/http..mathhub.info/FrameIT/frameworld/$Circle$Scroll.rel new file mode 100644 index 0000000000000000000000000000000000000000..8d1b942bec39c08da8d748c1402e6cd067ed3ea0 --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/$Circle$Scroll.rel @@ -0,0 +1,122 @@ +theory http://mathhub.info/FrameIT/frameworld?CircleScroll +HasMeta http://mathhub.info/FrameIT/frameworld?CircleScroll http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?CircleScroll http://mathhub.info/FrameIT/frameworld?CircleScroll?Problem +theory http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem +HasMeta http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?M +constant http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?M +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?M?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?M?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?A +constant http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?A +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?A?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?A?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?B +constant http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?B +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?B?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?B?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?CircleScroll http://mathhub.info/FrameIT/frameworld?CircleScroll?Solution +theory http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution +HasMeta http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Includes http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem +Declares http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceC +constant http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceC +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceC?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceC?definition http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?A?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceC?definition http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?M?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceC?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceC?definition http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?B?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceC?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceC?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleWrapper?type +Declares http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR +constant http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR?type http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceC?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleRadius?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR?definition http://cds.omdoc.org/urtheories?Strings?string?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR?definition http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?A?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR?definition http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?M?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR?definition http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?metric?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR?definition http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR?definition http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceC?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR?definition http://cds.omdoc.org/urtheories?Ded?DED?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleRadius?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +Declares http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR2 +constant http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR2 +DependsOn 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http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR2?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR2?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR2?definition http://cds.omdoc.org/urtheories?Strings?string?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR2?definition http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?A?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR2?definition http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?M?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR2?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR2?definition http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR2?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?metric?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR2?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR2?definition http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR2?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR2?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR2?definition http://cds.omdoc.org/urtheories?Ded?DED?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR2?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR2?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +Declares http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?midOnCircle +constant http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?midOnCircle +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?midOnCircle?type http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceC?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?midOnCircle?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?midOnCircle?type http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?M?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?midOnCircle?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?midOnCircle?type http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceC?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?midOnCircle?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?midOnCircle?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?midOnCircle?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?midOnCircle?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?midOnCircle?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?midOnCircle?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?midOnCircle?definition http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?M?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?midOnCircle?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?midOnCircle?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?midOnCircle?definition http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?midOnCircle?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?midOnCircle?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?midOnCircle?definition http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceC?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?midOnCircle?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?midOnCircle?definition http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceC?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?midOnCircle?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?midAlwaysOnCircle?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?midOnCircle?definition http://mathhub.info/MitM/Foundation?InformalProofs?trivial?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?midOnCircle?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?midOnCircle?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleMidPoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?midOnCircle?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?midOnCircle?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?midOnCircle?definition http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?edgeOnCircle +constant http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?edgeOnCircle +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?edgeOnCircle?type http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceC?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?edgeOnCircle?type http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?A?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?edgeOnCircle?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?edgeOnCircle?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?edgeOnCircle?type http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceC?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?edgeOnCircle?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?edgeOnCircle?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?edgeOnCircle?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?edgeOnCircle?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?edgeOnCircle?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?edgeOnCircle?type http://mathhub.info/MitM/Foundation?Logic?prop?definition diff --git a/relational/http..mathhub.info/FrameIT/frameworld/$Cone$Problem.rel b/relational/http..mathhub.info/FrameIT/frameworld/$Cone$Problem.rel new file mode 100644 index 0000000000000000000000000000000000000000..90bb9da8b4479d431c692cf852b401c14af05f86 --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/$Cone$Problem.rel @@ -0,0 +1,92 @@ +dataconstructor http://mathhub.info/FrameIT/frameworld?ConeProblem?S +dataconstructor http://mathhub.info/FrameIT/frameworld?ConeProblem?M +dataconstructor http://mathhub.info/FrameIT/frameworld?ConeProblem?base +dataconstructor http://mathhub.info/FrameIT/frameworld?ConeProblem?H +dataconstructor http://mathhub.info/FrameIT/frameworld?ConeProblem?height +dataconstructor http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase +dataconstructor http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH +dataconstructor http://mathhub.info/FrameIT/frameworld?ConeProblem?S_on_H +dataconstructor http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_H +dataconstructor http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_C +theory http://mathhub.info/FrameIT/frameworld?ConeProblem +HasMeta http://mathhub.info/FrameIT/frameworld?ConeProblem http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?ConeProblem http://mathhub.info/FrameIT/frameworld?ConeProblem?S +constant http://mathhub.info/FrameIT/frameworld?ConeProblem?S +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?S?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?S?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?ConeProblem http://mathhub.info/FrameIT/frameworld?ConeProblem?M +constant http://mathhub.info/FrameIT/frameworld?ConeProblem?M +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?M?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?M?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?ConeProblem http://mathhub.info/FrameIT/frameworld?ConeProblem?base +constant http://mathhub.info/FrameIT/frameworld?ConeProblem?base +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?base?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +Declares http://mathhub.info/FrameIT/frameworld?ConeProblem http://mathhub.info/FrameIT/frameworld?ConeProblem?H +constant http://mathhub.info/FrameIT/frameworld?ConeProblem?H +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?H?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +Declares http://mathhub.info/FrameIT/frameworld?ConeProblem http://mathhub.info/FrameIT/frameworld?ConeProblem?height +constant http://mathhub.info/FrameIT/frameworld?ConeProblem?height +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?height?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?height?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?height?type http://mathhub.info/MitM/core/geometry?Geometry/Common?metric?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?height?type http://mathhub.info/FrameIT/frameworld?ConeProblem?S?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?height?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?height?type http://mathhub.info/FrameIT/frameworld?ConeProblem?M?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?height?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?height?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?height?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?ConeProblem http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase +constant http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase?type http://mathhub.info/FrameIT/frameworld?ConeProblem?base?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?ConeProblem http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH +constant http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH?type http://mathhub.info/FrameIT/frameworld?ConeProblem?H?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH?type http://mathhub.info/FrameIT/frameworld?ConeProblem?base?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?orthogonalCircleLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?ConeProblem http://mathhub.info/FrameIT/frameworld?ConeProblem?S_on_H +constant http://mathhub.info/FrameIT/frameworld?ConeProblem?S_on_H +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?S_on_H?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?S_on_H?type http://mathhub.info/FrameIT/frameworld?ConeProblem?H?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?S_on_H?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?S_on_H?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?S_on_H?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?S_on_H?type http://mathhub.info/FrameIT/frameworld?ConeProblem?S?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?S_on_H?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?S_on_H?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?S_on_H?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?ConeProblem http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_H +constant http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_H +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_H?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_H?type http://mathhub.info/FrameIT/frameworld?ConeProblem?H?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_H?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_H?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_H?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_H?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_H?type http://mathhub.info/FrameIT/frameworld?ConeProblem?M?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_H?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_H?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?ConeProblem http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_C +constant http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_C +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_C?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_C?type http://mathhub.info/FrameIT/frameworld?ConeProblem?base?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_C?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_C?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?definition +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_C?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_C?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_C?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_C?type http://mathhub.info/FrameIT/frameworld?ConeProblem?M?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_C?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_C?type http://mathhub.info/MitM/Foundation?Logic?prop?definition diff --git a/relational/http..mathhub.info/FrameIT/frameworld/$Cone$Volume$Scroll.rel b/relational/http..mathhub.info/FrameIT/frameworld/$Cone$Volume$Scroll.rel new file mode 100644 index 0000000000000000000000000000000000000000..2211d2e342d9d7d5b184cb971d8816ed1563387a --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/$Cone$Volume$Scroll.rel @@ -0,0 +1,44 @@ +theory http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll +HasMeta http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll?Problem +theory http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Problem +HasMeta http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Problem http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Includes http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Problem http://mathhub.info/FrameIT/frameworld?ConeProblem +Declares http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll?Solution +theory http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution +HasMeta http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Includes http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Problem +Declares http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume +constant http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/FrameIT/frameworld?ConeProblem?base?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/FrameIT/frameworld?FrameITCone?volumeCone?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/FrameIT/frameworld?ConeProblem?S?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/FrameIT/frameworld?FrameITCone?circleConeType?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/FrameIT/frameworld?FrameITCone?circleConeOf?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?definition http://cds.omdoc.org/urtheories?Strings?string?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?ConeProblem?base?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?FrameITCone?volumeCone?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?ConeProblem?S?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?ConeProblem?height?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?definition http://cds.omdoc.org/urtheories?Ded?DED?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?useDiv?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?FrameITCone?circleConeType?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?FrameITCone?circleConeOf?type +DependsOn http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/MitM/Foundation?Logic?prop?type diff --git a/relational/http..mathhub.info/FrameIT/frameworld/$Cylinder$Volume$Scroll.rel b/relational/http..mathhub.info/FrameIT/frameworld/$Cylinder$Volume$Scroll.rel new file mode 100644 index 0000000000000000000000000000000000000000..eba90e3be5a8e87a9b6fff7ea9cdbad4ffddb36e --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/$Cylinder$Volume$Scroll.rel @@ -0,0 +1,64 @@ +theory http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll +HasMeta http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll?Problem +theory http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Problem +HasMeta http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Problem http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Includes http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Problem http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem +Declares http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Problem http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Problem?proofOfEqualSize +constant http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Problem?proofOfEqualSize +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Problem?proofOfEqualSize?type http://mathhub.info/FrameIT/frameworld?ConeProblem?base?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Problem?proofOfEqualSize?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Problem?proofOfEqualSize?type http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Problem?proofOfEqualSize?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Problem?proofOfEqualSize?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?equalityCircles?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Problem?proofOfEqualSize?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Problem?proofOfEqualSize?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Problem?proofOfEqualSize?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll?Solution +theory http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution +HasMeta http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Includes http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Problem +Declares http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume +constant http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?type http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?orthoTopH?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?type http://mathhub.info/FrameIT/frameworld?ConeProblem?base?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?type http://mathhub.info/FrameIT/frameworld?FrameITCylinder?mkCylinder?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?proofParallelCircles?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?type http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?type http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderType?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?type http://mathhub.info/FrameIT/frameworld?ConeProblem?H?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?type http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderVolume?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?type http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Problem?proofOfEqualSize?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?type http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?definition http://cds.omdoc.org/urtheories?Strings?string?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?orthoTopH?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?FrameITCylinder?mkCylinder?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?proofParallelCircles?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?ConeProblem?height?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderType?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?ConeProblem?H?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?ConeProblem?base?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?definition http://cds.omdoc.org/urtheories?Ded?DED?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderVolume?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Problem?proofOfEqualSize?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/MitM/Foundation?Logic?prop?type diff --git a/relational/http..mathhub.info/FrameIT/frameworld/$Default$Situation$Space.rel b/relational/http..mathhub.info/FrameIT/frameworld/$Default$Situation$Space.rel index 978c253e43588fc065624457d0146af9ac3cf4d0..0f9afbcd4310fe2a7105d8963e245f0bc89b95e5 100644 --- a/relational/http..mathhub.info/FrameIT/frameworld/$Default$Situation$Space.rel +++ b/relational/http..mathhub.info/FrameIT/frameworld/$Default$Situation$Space.rel @@ -5,12 +5,15 @@ theory http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/Root HasMeta http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/Root http://mathhub.info/FrameIT/frameworld?FrameworldMeta Includes http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/Root http://mathhub.info/FrameIT/frameworld?OppositeLen Includes http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/Root http://mathhub.info/FrameIT/frameworld?AngleSum +Includes http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/Root http://mathhub.info/FrameIT/frameworld?Pythagoras Includes http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/Root http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll -Includes http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/Root http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll +Includes http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/Root http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll +Includes http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/Root http://mathhub.info/FrameIT/frameworld?test +Includes http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/Root http://mathhub.info/FrameIT/frameworld?test2 Includes http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/Root http://mathhub.info/FrameIT/frameworld?Midpoint Includes http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/Root http://mathhub.info/FrameIT/frameworld?CircleScroll Includes http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/Root http://mathhub.info/FrameIT/frameworld?SinOppositeLeg -Includes http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/Root http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll +Includes http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/Root http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll Includes http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/Root http://mathhub.info/FrameIT/frameworld?CircleAreaScroll Includes http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/Root http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll Includes http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/Root http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll diff --git a/relational/http..mathhub.info/FrameIT/frameworld/$Equal$Circle$Area$Scroll.rel b/relational/http..mathhub.info/FrameIT/frameworld/$Equal$Circle$Area$Scroll.rel new file mode 100644 index 0000000000000000000000000000000000000000..dccb46cc6d21d9760c1d24db3b750a4359b39935 --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/$Equal$Circle$Area$Scroll.rel @@ -0,0 +1,45 @@ +theory http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll +HasMeta http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll?Problem +theory http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem +HasMeta http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?circle1 +constant http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?circle1 +DependsOn http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?circle1?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +Declares http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?circle2 +constant http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?circle2 +DependsOn http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?circle2?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +Declares http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?areaBase +constant http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?areaBase +DependsOn http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?areaBase?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?areaBase?type http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?circle1?type +DependsOn http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?areaBase?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?areaBase?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle?type +DependsOn http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?areaBase?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?areaBase?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?areaBase?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?areaBase?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?areaTop +constant http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?areaTop +DependsOn http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?areaTop?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?areaTop?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?areaTop?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle?type +DependsOn http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?areaTop?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?areaTop?type http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?circle2?type +DependsOn http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?areaTop?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?areaTop?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?areaTop?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll?Solution +theory http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Solution +HasMeta http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Solution http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Includes http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Solution http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem +Declares http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Solution http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Solution?equalCircleFact +constant http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Solution?equalCircleFact +DependsOn http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Solution?equalCircleFact?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Solution?equalCircleFact?type http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?circle1?type +DependsOn http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Solution?equalCircleFact?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Solution?equalCircleFact?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?equalityCircles?type +DependsOn http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Solution?equalCircleFact?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Solution?equalCircleFact?type http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Problem?circle2?type +DependsOn http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Solution?equalCircleFact?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?EqualCircleAreaScroll/Solution?equalCircleFact?type http://mathhub.info/MitM/Foundation?Logic?prop?definition diff --git a/relational/http..mathhub.info/FrameIT/frameworld/$Frame$I$T$Basics.rel b/relational/http..mathhub.info/FrameIT/frameworld/$Frame$I$T$Basics.rel new file mode 100644 index 0000000000000000000000000000000000000000..6e548ee05126607e9244b8972972d74837907f59 --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/$Frame$I$T$Basics.rel @@ -0,0 +1,485 @@ +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomrealNumbersNeutralLeft +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomrealNumbersNeutralRight +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomBasepoint2 +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomTargetpoint2 +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiom12 +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiomNormal2 +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom12 +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom22 +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITBasics?rightAngle +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITBasics?epsi +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITBasics?multiplyPointScalar +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITBasics?addPointPoint +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITBasics?subtractPointPoint +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITBasics?directionLine +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITBasics?useRoot +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITBasics?absValue +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITBasics?useDiv +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITBasics?useInv +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITBasics?useExpo +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITBasics?helperFunctionForProjection +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLine +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITBasics?radToDegree +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITBasics?lineOnProofFrom +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITBasics?lineOnProofTo +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe +theory http://mathhub.info/FrameIT/frameworld?FrameITBasics +HasMeta http://mathhub.info/FrameIT/frameworld?FrameITBasics http://cds.omdoc.org/urtheories?LF +Includes http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/MitM/core/geometry?3DGeometry +Includes http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/MitM/core/geometry?Planes +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomrealNumbersNeutralLeft +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomrealNumbersNeutralLeft +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomrealNumbersNeutralLeft?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomrealNumbersNeutralLeft?type http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomrealNumbersNeutralLeft?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomrealNumbersNeutralLeft?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomrealNumbersNeutralLeft?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomrealNumbersNeutralLeft?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomrealNumbersNeutralLeft?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomrealNumbersNeutralLeft/Simplify +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomrealNumbersNeutralLeft/Simplify +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomrealNumbersNeutralRight +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomrealNumbersNeutralRight +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomrealNumbersNeutralRight?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomrealNumbersNeutralRight?type http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomrealNumbersNeutralRight?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomrealNumbersNeutralRight?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomrealNumbersNeutralRight?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomrealNumbersNeutralRight?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomrealNumbersNeutralRight?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomrealNumbersNeutralRight/Simplify +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomrealNumbersNeutralRight/Simplify +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomBasepoint2 +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomBasepoint2 +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomBasepoint2?type http://mathhub.info/MitM/core/geometry?Geometry/Common?basepoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomBasepoint2?type http://mathhub.info/MitM/core/geometry?Geometry/Common?lineOf?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomBasepoint2?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomBasepoint2?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomBasepoint2?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomBasepoint2?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomBasepoint2?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomBasepoint2?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomBasepoint2?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomBasepoint2?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomBasepoint2/Simplify +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomBasepoint2/Simplify +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomBasepoint2/Solve +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomBasepoint2/Solve +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomTargetpoint2 +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomTargetpoint2 +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomTargetpoint2?type http://mathhub.info/MitM/core/geometry?Geometry/Common?targetpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomTargetpoint2?type http://mathhub.info/MitM/core/geometry?Geometry/Common?lineOf?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomTargetpoint2?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomTargetpoint2?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomTargetpoint2?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomTargetpoint2?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomTargetpoint2?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomTargetpoint2?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomTargetpoint2?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomTargetpoint2?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomTargetpoint2/Simplify +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomTargetpoint2/Simplify +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomTargetpoint2/Solve +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?axiomTargetpoint2/Solve +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiom12 +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiom12 +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiom12?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiom12?type http://mathhub.info/MitM/core/geometry?Planes?ParametrizedPlane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiom12?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiom12?type http://mathhub.info/MitM/core/geometry?Planes?planeBase?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiom12?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiom12?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiom12?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiom12?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiom12?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiom12?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiom12/Simplify +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiom12/Simplify +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiom12/Solve +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiom12/Solve +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiomNormal2 +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiomNormal2 +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiomNormal2?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiomNormal2?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiomNormal2?type http://mathhub.info/MitM/core/geometry?Planes?planeBase?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiomNormal2?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiomNormal2?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiomNormal2?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiomNormal2?type http://mathhub.info/MitM/core/geometry?Planes?pointNormalPlane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiomNormal2?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiomNormal2?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiomNormal2?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiomNormal2/Simplify +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiomNormal2/Simplify +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiomNormal2/Solve +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?PlaneBaseAxiomNormal2/Solve +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom12 +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom12 +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom12?type http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom12?type http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom12?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom12?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom12?type http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom12?type http://mathhub.info/MitM/core/geometry?3DGeometry?vec_cross?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom12?type http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom12?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom12?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom12?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom12?type http://mathhub.info/MitM/core/geometry?Geometry/Common?normalize?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom12?type http://mathhub.info/MitM/core/geometry?Planes?ParametrizedPlane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom12?type http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom12?type http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom12?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom12?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom12?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom12?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom12/Simplify +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom12/Simplify +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom22 +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom22 +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom22?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom22?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom22?type http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom22?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom22?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom22?type http://mathhub.info/MitM/core/geometry?Geometry/Common?normalize?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom22?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom22?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom22?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom22?type http://mathhub.info/MitM/core/geometry?Planes?pointNormalPlane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom22?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom22/Simplify +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalAxiom22/Simplify +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?rightAngle +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?rightAngle +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?rightAngle?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?rightAngle?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?rightAngle?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?rightAngle?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?epsi +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?epsi +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?epsi?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?epsi?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?multiplyPointScalar +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?multiplyPointScalar +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?multiplyPointScalar?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?multiplyPointScalar?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?multiplyPointScalar?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?multiplyPointScalar?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?multiplyPointScalar?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?multiplyPointScalar?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?multiplyPointScalar?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?multiplyPointScalar?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?multiplyPointScalar?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?multiplyPointScalar?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?addPointPoint +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?addPointPoint +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?addPointPoint?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?addPointPoint?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?addPointPoint?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?addPointPoint?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?addPointPoint?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?addPointPoint?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?addPointPoint?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?addPointPoint?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?addPointPoint?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?subtractPointPoint +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?subtractPointPoint +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?subtractPointPoint?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?subtractPointPoint?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?subtractPointPoint?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?subtractPointPoint?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?subtractPointPoint?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?subtractPointPoint?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?subtractPointPoint?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?subtractPointPoint?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?subtractPointPoint?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?directionLine +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?directionLine +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?directionLine?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?directionLine?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?directionLine?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?directionLine?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?targetpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?directionLine?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?basepoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?directionLine?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?directionLine?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?subtractPointPoint?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?directionLine?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?directionLine?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?directionLine?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?directionLine?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?directionLine?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?directionLine?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?useRoot +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?useRoot +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useRoot?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useRoot?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useRoot?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?exponentiation?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useRoot?definition http://mathhub.info/MitM/Foundation?NatLiterals?nat_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useRoot?definition http://mathhub.info/MitM/Foundation?Logic?exists_unique?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useRoot?definition http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useRoot?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useRoot?definition http://mathhub.info/MitM/Foundation?Logic?exists_unique?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useRoot?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useRoot?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useRoot?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useRoot?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?squareRoot?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useRoot?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useRoot?definition http://mathhub.info/MitM/Foundation?NatLiterals?pos_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useRoot?definition http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?absValue +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?absValue +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?absValue?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?absValue?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?absValue?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?exponentiation?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?absValue?definition http://mathhub.info/MitM/Foundation?NatLiterals?nat_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?absValue?definition http://mathhub.info/MitM/Foundation?Logic?exists_unique?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?absValue?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_pow?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?absValue?definition http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?absValue?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?absValue?definition http://mathhub.info/MitM/Foundation?Logic?exists_unique?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?absValue?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?absValue?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?absValue?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?absValue?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?squareRoot?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?absValue?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?absValue?definition http://mathhub.info/MitM/Foundation?NatLiterals?pos_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?absValue?definition http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?useDiv +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?useDiv +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useDiv?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useDiv?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useDiv?definition http://cds.omdoc.org/urtheories?NatSymbols?NAT?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useDiv?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useDiv?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useDiv?definition http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useDiv?definition http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useDiv?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useDiv?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?div?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useDiv?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useDiv?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?useInv +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?useInv +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useInv?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useInv?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useInv?definition http://cds.omdoc.org/urtheories?NatSymbols?NAT?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useInv?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useInv?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useInv?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?inverse?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useInv?definition http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useInv?definition http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useInv?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useInv?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useInv?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?useExpo +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?useExpo +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useExpo?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useExpo?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_pow?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?useExpo?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?helperFunctionForProjection +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?helperFunctionForProjection +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?helperFunctionForProjection?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?helperFunctionForProjection?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?helperFunctionForProjection?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?helperFunctionForProjection?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?helperFunctionForProjection?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?helperFunctionForProjection?definition http://cds.omdoc.org/urtheories?NatSymbols?NAT?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?helperFunctionForProjection?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?helperFunctionForProjection?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?helperFunctionForProjection?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?scalar_product?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?helperFunctionForProjection?definition http://mathhub.info/MitM/core/geometry?Planes?planeBase?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?helperFunctionForProjection?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?helperFunctionForProjection?definition http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?helperFunctionForProjection?definition http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?helperFunctionForProjection?definition http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?helperFunctionForProjection?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?div?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?helperFunctionForProjection?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?helperFunctionForProjection?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?helperFunctionForProjection?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?helperFunctionForProjection?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?helperFunctionForProjection?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?scalar_product?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?helperFunctionForProjection?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?helperFunctionForProjection?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?definition http://mathhub.info/MitM/core/geometry?Planes?planeBase?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?definition http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?div?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?scalar_product?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?helperFunctionForProjection?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?definition http://cds.omdoc.org/urtheories?NatSymbols?NAT?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?multiplyPointScalar?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?scalar_product?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?addPointPoint?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?definition http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?definition http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?definition http://mathhub.info/MitM/core/geometry?Planes?planeBase?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?definition http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?div?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?absValue?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?definition http://cds.omdoc.org/urtheories?NatSymbols?NAT?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?scalar_product?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?norm?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?definition http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?definition http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?norm?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?epsi?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?epsi?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc?definition http://cds.omdoc.org/urtheories?NatSymbols?NAT?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?scalar_product?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?norm?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc?definition http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc?definition http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc?definition http://mathhub.info/MitM/Foundation?Trigonometry?asin?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?div?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?norm?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?epsi?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?epsi?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLine +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLine +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLine?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLine?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLine?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLine?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?basepoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLine?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?subtractPointPoint?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLine?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLine?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLine?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLine?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?directionLine?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLine?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLine?definition http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLine?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLine?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?targetpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLine?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLine?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLine?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLine?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?radToDegree +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?radToDegree +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?radToDegree?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?radToDegree?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?radToDegree?definition http://cds.omdoc.org/urtheories?NatSymbols?NAT?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?radToDegree?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?radToDegree?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?radToDegree?definition http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?radToDegree?definition http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?radToDegree?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?div?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?radToDegree?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?radToDegree?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?radToDegree?definition http://mathhub.info/MitM/Foundation?Trigonometry?pi_num?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?radToDegree?definition http://mathhub.info/MitM/Foundation?Trigonometry?pi_num?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?radToDegree?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?radToDegree?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?lineOnProofFrom +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?lineOnProofFrom +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?lineOnProofFrom?type http://mathhub.info/MitM/core/geometry?Geometry/Common?basepoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?lineOnProofFrom?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?lineOnProofFrom?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?lineOnProofFrom?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?lineOnProofFrom?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?lineOnProofFrom?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?lineOnProofFrom?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?lineOnProofFrom?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?lineOnProofFrom?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?lineOnProofTo +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?lineOnProofTo +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?lineOnProofTo?type http://mathhub.info/MitM/core/geometry?Geometry/Common?targetpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?lineOnProofTo?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?lineOnProofTo?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?lineOnProofTo?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?lineOnProofTo?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?lineOnProofTo?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?lineOnProofTo?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?lineOnProofTo?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?lineOnProofTo?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITBasics http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe +constant http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/MitM/Foundation?Logic?exists_unique?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/MitM/core/geometry?3DGeometry?vec_multI?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?inverse?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/MitM/Foundation?Logic?exists_unique?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?squareRoot?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://cds.omdoc.org/urtheories?NatSymbols?NAT?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?exponentiation?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/MitM/Foundation?NatLiterals?nat_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?scalar_product?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?div?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?norm?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://cds.omdoc.org/urtheories?Ded?DED?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?epsi?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?vec_mult?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/MitM/Foundation?NatLiterals?pos_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition http://mathhub.info/MitM/Foundation?Logic?prop?definition diff --git a/relational/http..mathhub.info/FrameIT/frameworld/$Frame$I$T$Circle.rel b/relational/http..mathhub.info/FrameIT/frameworld/$Frame$I$T$Circle.rel new file mode 100644 index 0000000000000000000000000000000000000000..8fb5f8e9461d6c3b9d020de9b1217967648cadab --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/$Frame$I$T$Circle.rel @@ -0,0 +1,357 @@ +datatypeconstructor http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D +datatypeconstructor http://mathhub.info/FrameIT/frameworld?FrameITCircle?xcircleType3D +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCircle?xcircleMidPoint +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCircle?circle3D +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleMidPoint +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleRadius +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCircle?circlePlane +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomMidPoint +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomPlane +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomRadius +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCircle?midAlwaysOnCircle +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCircle?circumCircle +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCircle?orthogonalCircleLine +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCircle?wrap3EdgePointsToPlaneParametric +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCircle?parallelCircles +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCircle?proofParallelCircles +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCircle?equalityCircles +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCircle?unequalityCircles +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCircle?helperXyZ +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleChecker +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleCheckerTest +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleWrapper +theory http://mathhub.info/FrameIT/frameworld?FrameITCircle +HasMeta http://mathhub.info/FrameIT/frameworld?FrameITCircle http://cds.omdoc.org/urtheories?LF +Includes http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/MitM/core/geometry?3DGeometry +Includes http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/MitM/core/geometry?Planes +Includes http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITBasics +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?xcircleType3D +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?xcircleType3D +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?xcircleType3D?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?xcircleType3D?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?xcircleType3D?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?xcircleType3D?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?xcircleMidPoint +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?xcircleMidPoint +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?xcircleMidPoint?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?xcircleMidPoint?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?xcircleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?xcircleMidPoint?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?xcircleMidPoint?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?xcircleType3D?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?xcircleMidPoint?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?xcircleMidPoint?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?xcircleType3D?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?xcircleMidPoint?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?circle3D +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?circle3D +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?circle3D?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?circle3D?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?circle3D?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?circle3D?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?circle3D?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleMidPoint +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleMidPoint +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleMidPoint?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleMidPoint?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleMidPoint?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleRadius +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleRadius +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleRadius?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleRadius?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?circlePlane +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?circlePlane +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?circlePlane?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?circlePlane?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomMidPoint +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomMidPoint +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomMidPoint?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomMidPoint?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomMidPoint?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomMidPoint?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomMidPoint?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomMidPoint?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleMidPoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomMidPoint?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomMidPoint?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomMidPoint?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circle3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomMidPoint?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomMidPoint?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomMidPoint/Simplify +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomMidPoint/Simplify +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomMidPoint/Solve +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomMidPoint/Solve +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomPlane +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomPlane +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomPlane?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomPlane?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomPlane?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circlePlane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomPlane?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomPlane?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomPlane?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomPlane?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomPlane?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomPlane?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circle3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomPlane?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomPlane?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomPlane/Simplify +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomPlane/Simplify +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomPlane/Solve +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomPlane/Solve +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomRadius +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomRadius +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomRadius?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomRadius?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomRadius?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomRadius?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomRadius?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleRadius?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomRadius?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomRadius?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomRadius?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomRadius?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circle3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomRadius?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomRadius?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomRadius/Simplify +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomRadius/Simplify +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomRadius/Solve +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?axiomRadius/Solve +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?metric?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circlePlane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?definition http://mathhub.info/MitM/Foundation?Logic?and?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?definition http://mathhub.info/MitM/Foundation?RealLiterals?leq_real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?definition http://mathhub.info/MitM/core/geometry?Planes?pointOnPlane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleRadius?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleMidPoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?definition http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?midAlwaysOnCircle +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?midAlwaysOnCircle +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?midAlwaysOnCircle?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?midAlwaysOnCircle?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?midAlwaysOnCircle?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?midAlwaysOnCircle?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?midAlwaysOnCircle?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?midAlwaysOnCircle?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?midAlwaysOnCircle?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?midAlwaysOnCircle?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?midAlwaysOnCircle?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleMidPoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?midAlwaysOnCircle?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?midAlwaysOnCircle?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?midAlwaysOnCircle?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleRadius?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle?definition http://mathhub.info/MitM/Foundation?Trigonometry?pi_num?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_pow?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?circumCircle +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?circumCircle +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?circumCircle?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?circumCircle?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?circumCircle?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleRadius?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?circumCircle?definition http://mathhub.info/MitM/Foundation?Trigonometry?pi_num?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?circumCircle?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?circumCircle?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?circumCircle?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?basepoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?subtractPointPoint?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?directionLine?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circlePlane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine?definition http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?targetpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?radToDegree?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?orthogonalCircleLine +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?orthogonalCircleLine +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?orthogonalCircleLine?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?orthogonalCircleLine?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?orthogonalCircleLine?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?orthogonalCircleLine?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?subtractPointPoint?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/Foundation?Logic?exists_unique?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/core/geometry?3DGeometry?vec_multI?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?inverse?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/core/geometry?3DGeometry?vec_cross?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/Foundation?Logic?exists_unique?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?squareRoot?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://cds.omdoc.org/urtheories?NatSymbols?NAT?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?exponentiation?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/Foundation?NatLiterals?nat_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?normalizeSafe?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?scalar_product?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?div?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?norm?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://cds.omdoc.org/urtheories?Ded?DED?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?epsi?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?vec_mult?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/Foundation?NatLiterals?pos_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/core/geometry?Planes?pointNormalPlane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?definition http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?wrap3EdgePointsToPlaneParametric +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?wrap3EdgePointsToPlaneParametric +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?wrap3EdgePointsToPlaneParametric?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?wrap3EdgePointsToPlaneParametric?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?wrap3EdgePointsToPlaneParametric?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?wrap3EdgePointsToPlaneParametric?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?wrap3EdgePointsToPlaneParametric?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?subtractPointPoint?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?wrap3EdgePointsToPlaneParametric?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?wrap3EdgePointsToPlaneParametric?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?wrap3EdgePointsToPlaneParametric?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?wrap3EdgePointsToPlaneParametric?definition http://mathhub.info/MitM/core/geometry?Planes?ParametrizedPlane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?wrap3EdgePointsToPlaneParametric?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?wrap3EdgePointsToPlaneParametric?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?wrap3EdgePointsToPlaneParametric?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?wrap3EdgePointsToPlaneParametric?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?parallelCircles +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?parallelCircles +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?parallelCircles?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?parallelCircles?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?parallelCircles?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?proofParallelCircles +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?proofParallelCircles +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?proofParallelCircles?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?proofParallelCircles?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?proofParallelCircles?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?proofParallelCircles?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?orthogonalCircleLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?proofParallelCircles?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?parallelCircles?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?proofParallelCircles?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?proofParallelCircles?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?proofParallelCircles?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?equalityCircles +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?equalityCircles +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?equalityCircles?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?equalityCircles?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?equalityCircles?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?unequalityCircles +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?unequalityCircles +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?unequalityCircles?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?unequalityCircles?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?unequalityCircles?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?helperXyZ +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?helperXyZ +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?helperXyZ?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?helperXyZ?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?helperXyZ?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?helperXyZ?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?helperXyZ?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?helperXyZ?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?helperXyZ?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point_subtractI?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?helperXyZ?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?norm?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?helperXyZ?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?helperXyZ?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?point_subtract?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?helperXyZ?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?helperXyZ?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?helperXyZ?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleChecker +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleChecker +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleChecker?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleChecker?type http://cds.omdoc.org/urtheories?NatSymbols?NAT?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleChecker?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleChecker?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleChecker?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleChecker?type http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleChecker?type http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleChecker?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleChecker?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleChecker?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleChecker?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleChecker?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleChecker?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?metric?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleChecker?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleChecker?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleChecker?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleChecker?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circle3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleChecker?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleCheckerTest +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleCheckerTest +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleCheckerTest?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleCheckerTest?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleCheckerTest?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleCheckerTest?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleCheckerTest?type http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleCheckerTest?type http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleCheckerTest?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleCheckerTest?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleCheckerTest?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleCheckerTest?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleCheckerTest?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleCheckerTest?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?metric?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleCheckerTest?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleCheckerTest?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleCheckerTest?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleCheckerTest?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circle3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleCheckerTest?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITCircle http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleWrapper +constant http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleWrapper +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleWrapper?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleWrapper?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleWrapper?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleWrapper?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleWrapper?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleWrapper?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?helperXyZ?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleWrapper?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleWrapper?definition http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleWrapper?definition http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleWrapper?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleWrapper?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleWrapper?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?helperXyZ?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleWrapper?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleCheckerTest?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleWrapper?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleWrapper?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToCircleWrapper?definition http://mathhub.info/MitM/Foundation?Logic?prop?type diff --git a/relational/http..mathhub.info/FrameIT/frameworld/$Frame$I$T$Cone.rel b/relational/http..mathhub.info/FrameIT/frameworld/$Frame$I$T$Cone.rel new file mode 100644 index 0000000000000000000000000000000000000000..bf2f29c933c53e31e40607d8b7f766ab97f18d69 --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/$Frame$I$T$Cone.rel @@ -0,0 +1,338 @@ +datatypeconstructor http://mathhub.info/FrameIT/frameworld?FrameITCone?circleConeType +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCone?circleConeOf +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCone?circleConeApex +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCone?circleConePlane +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomConeApex +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomConePlane +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCone?coneHeightProjection +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCone?coneHeightLine +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCone?coneHeightLength +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCone?distApexPlane +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCone?volumeCone +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCone?baseAreaCone +datatypeconstructor 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http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?coneHeightLength?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?coneHeightLength?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?helperFunctionForProjection?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?coneHeightLength?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?coneHeightLength?definition http://cds.omdoc.org/urtheories?NatSymbols?NAT?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?coneHeightLength?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?multiplyPointScalar?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?coneHeightLength?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?coneHeightLength?definition http://mathhub.info/FrameIT/frameworld?FrameITCone?coneHeightProjection?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?coneHeightLength?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?scalar_product?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?coneHeightLength?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?coneHeightLength?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?addPointPoint?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?coneHeightLength?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?coneHeightLength?definition http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?coneHeightLength?definition http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?coneHeightLength?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?coneHeightLength?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?orthogonalProjectionPointToPlane?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?coneHeightLength?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?coneHeightLength?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?coneHeightLength?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?coneHeightLength?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?coneHeightLength?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?coneHeightLength?definition http://mathhub.info/FrameIT/frameworld?FrameITCone?circleConeApex?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITCone http://mathhub.info/FrameIT/frameworld?FrameITCone?distApexPlane +constant http://mathhub.info/FrameIT/frameworld?FrameITCone?distApexPlane +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?distApexPlane?type http://mathhub.info/FrameIT/frameworld?FrameITCone?circleConeType?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?distApexPlane?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?distApexPlane?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?distApexPlane?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?distApexPlane?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circlePlane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?distApexPlane?definition http://mathhub.info/FrameIT/frameworld?FrameITCone?circleConeType?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?distApexPlane?definition http://mathhub.info/FrameIT/frameworld?FrameITCone?circleConePlane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?distApexPlane?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?distApexPlane?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?distApexPlane?definition http://mathhub.info/FrameIT/frameworld?FrameITCone?circleConeApex?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?distApexPlane?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITCone http://mathhub.info/FrameIT/frameworld?FrameITCone?volumeCone +constant http://mathhub.info/FrameIT/frameworld?FrameITCone?volumeCone +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?volumeCone?type http://mathhub.info/FrameIT/frameworld?FrameITCone?circleConeType?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?volumeCone?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?volumeCone?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?volumeCone?definition http://cds.omdoc.org/urtheories?NatSymbols?NAT?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?volumeCone?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?volumeCone?definition http://mathhub.info/FrameIT/frameworld?FrameITCone?circleConePlane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?volumeCone?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?volumeCone?definition http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?volumeCone?definition http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?volumeCone?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?div?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?volumeCone?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?volumeCone?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?volumeCone?definition http://mathhub.info/FrameIT/frameworld?FrameITCone?distApexPlane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?volumeCone?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?volumeCone?definition http://mathhub.info/FrameIT/frameworld?FrameITCone?circleConeType?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?volumeCone?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?volumeCone?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?volumeCone?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITCone http://mathhub.info/FrameIT/frameworld?FrameITCone?baseAreaCone +constant http://mathhub.info/FrameIT/frameworld?FrameITCone?baseAreaCone +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?baseAreaCone?type http://mathhub.info/FrameIT/frameworld?FrameITCone?circleConeType?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?baseAreaCone?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?baseAreaCone?definition http://mathhub.info/FrameIT/frameworld?FrameITCone?circleConeType?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?baseAreaCone?definition http://mathhub.info/FrameIT/frameworld?FrameITCone?circleConePlane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?baseAreaCone?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?baseAreaCone?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?baseAreaCone?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITCone http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeType +constant http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeType +Declares http://mathhub.info/FrameIT/frameworld?FrameITCone http://mathhub.info/FrameIT/frameworld?FrameITCone?mkTruncatedCone +constant http://mathhub.info/FrameIT/frameworld?FrameITCone?mkTruncatedCone +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?mkTruncatedCone?type http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeType?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?mkTruncatedCone?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?unequalityCircles?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?mkTruncatedCone?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?mkTruncatedCone?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?mkTruncatedCone?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?parallelCircles?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?mkTruncatedCone?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?mkTruncatedCone?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?mkTruncatedCone?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?FrameITCone http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeBase +constant http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeBase +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeBase?type http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeType?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeBase?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITCone http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeTop +constant http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeTop +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeTop?type http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeType?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeTop?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITCone http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeBase +constant http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeBase +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeBase?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeBase?type http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeBase?type http://mathhub.info/FrameIT/frameworld?FrameITCone?mkTruncatedCone?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeBase?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeBase?type http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeType?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeBase?type http://cds.omdoc.org/urtheories?Ded?DED?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeBase?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?unequalityCircles?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeBase?type http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeBase?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeBase?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeBase?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeBase?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?parallelCircles?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeBase?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeBase?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?FrameITCone http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeBase/Simplify +constant http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeBase/Simplify +Declares http://mathhub.info/FrameIT/frameworld?FrameITCone http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeBase/Solve +constant http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeBase/Solve +Declares http://mathhub.info/FrameIT/frameworld?FrameITCone http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeTop +constant http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeTop +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeTop?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeTop?type http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeTop?type http://mathhub.info/FrameIT/frameworld?FrameITCone?mkTruncatedCone?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeTop?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeTop?type http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeType?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeTop?type http://cds.omdoc.org/urtheories?Ded?DED?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeTop?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?unequalityCircles?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeTop?type http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeTop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeTop?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeTop?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeTop?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?parallelCircles?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeTop?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeTop?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?FrameITCone http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeTop/Simplify +constant http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeTop/Simplify +Declares http://mathhub.info/FrameIT/frameworld?FrameITCone http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeTop/Solve +constant http://mathhub.info/FrameIT/frameworld?FrameITCone?axiomTruncatedConeTop/Solve +Declares http://mathhub.info/FrameIT/frameworld?FrameITCone http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeHeight +constant http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeHeight +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeHeight?type http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeType?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeHeight?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeHeight?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeHeight?definition http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeType?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeHeight?definition http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeBase?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeHeight?definition http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeTop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeHeight?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?distancePlanePoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeHeight?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circlePlane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeHeight?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleMidPoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeHeight?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeHeight?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeHeight?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITCone http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeArea +constant http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeArea +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeArea?type http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeType?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeArea?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeArea?definition http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeType?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeArea?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleRadius?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeArea?definition http://mathhub.info/MitM/Foundation?Trigonometry?pi_num?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeArea?definition http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeBase?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeArea?definition http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeTop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeArea?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeArea?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeArea?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeArea?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeArea?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITCone http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeVolume +constant http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeVolume +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeVolume?type http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeType?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeVolume?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeVolume?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeVolume?definition http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeHeight?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeVolume?definition http://cds.omdoc.org/urtheories?NatSymbols?NAT?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeVolume?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeVolume?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeVolume?definition http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeVolume?definition http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeVolume?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?div?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeVolume?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeVolume?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeVolume?definition http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeType?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeVolume?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeVolume?definition http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeArea?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeVolume?definition http://mathhub.info/MitM/Foundation?Logic?prop?type diff --git a/relational/http..mathhub.info/FrameIT/frameworld/$Frame$I$T$Cylinder.rel b/relational/http..mathhub.info/FrameIT/frameworld/$Frame$I$T$Cylinder.rel new file mode 100644 index 0000000000000000000000000000000000000000..859e9dbd2afd5f0fbc81bd5c1fd11d3c54715f46 --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/$Frame$I$T$Cylinder.rel @@ -0,0 +1,103 @@ +datatypeconstructor http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderType +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCylinder?mkCylinder +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderBase +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderTop +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylBase +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylTop +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderArea +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderHeight +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderVolume +theory http://mathhub.info/FrameIT/frameworld?FrameITCylinder +HasMeta http://mathhub.info/FrameIT/frameworld?FrameITCylinder http://cds.omdoc.org/urtheories?LF +Includes http://mathhub.info/FrameIT/frameworld?FrameITCylinder http://mathhub.info/MitM/core/geometry?3DGeometry +Includes http://mathhub.info/FrameIT/frameworld?FrameITCylinder http://mathhub.info/MitM/core/geometry?Planes +Includes http://mathhub.info/FrameIT/frameworld?FrameITCylinder http://mathhub.info/FrameIT/frameworld?FrameITBasics +Includes http://mathhub.info/FrameIT/frameworld?FrameITCylinder http://mathhub.info/FrameIT/frameworld?FrameITCircle +Declares http://mathhub.info/FrameIT/frameworld?FrameITCylinder http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderType +constant http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderType +Declares http://mathhub.info/FrameIT/frameworld?FrameITCylinder http://mathhub.info/FrameIT/frameworld?FrameITCylinder?mkCylinder +constant http://mathhub.info/FrameIT/frameworld?FrameITCylinder?mkCylinder +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?mkCylinder?type http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderType?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?mkCylinder?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?mkCylinder?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?mkCylinder?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?equalityCircles?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?mkCylinder?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?parallelCircles?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?mkCylinder?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?mkCylinder?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?mkCylinder?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?FrameITCylinder http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderBase +constant http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderBase +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderBase?type http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderType?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderBase?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITCylinder http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderTop +constant http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderTop +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderTop?type http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderType?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderTop?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITCylinder http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylBase +constant http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylBase +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylBase?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylBase?type http://mathhub.info/FrameIT/frameworld?FrameITCylinder?mkCylinder?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylBase?type http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylBase?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?equalityCircles?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylBase?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylBase?type http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderType?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylBase?type http://cds.omdoc.org/urtheories?Ded?DED?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylBase?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylBase?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylBase?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?parallelCircles?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylBase?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylBase?type http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderBase?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylBase?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?FrameITCylinder http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylBase/Simplify +constant http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylBase/Simplify +Declares http://mathhub.info/FrameIT/frameworld?FrameITCylinder http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylBase/Solve +constant http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylBase/Solve +Declares http://mathhub.info/FrameIT/frameworld?FrameITCylinder http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylTop +constant http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylTop +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylTop?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylTop?type http://mathhub.info/FrameIT/frameworld?FrameITCylinder?mkCylinder?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylTop?type http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylTop?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?equalityCircles?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylTop?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylTop?type http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderType?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylTop?type http://cds.omdoc.org/urtheories?Ded?DED?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylTop?type http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderTop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylTop?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylTop?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylTop?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?parallelCircles?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylTop?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylTop?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?FrameITCylinder http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylTop/Simplify +constant http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylTop/Simplify +Declares http://mathhub.info/FrameIT/frameworld?FrameITCylinder http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylTop/Solve +constant http://mathhub.info/FrameIT/frameworld?FrameITCylinder?axCylTop/Solve +Declares http://mathhub.info/FrameIT/frameworld?FrameITCylinder http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderArea +constant http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderArea +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderArea?type http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderType?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderArea?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderArea?definition http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderType?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderArea?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderArea?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderArea?definition http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderBase?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderArea?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITCylinder http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderHeight +constant http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderHeight +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderHeight?type http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderType?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderHeight?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderHeight?definition http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderType?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderHeight?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderHeight?definition http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderTop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderHeight?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?metric?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderHeight?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleMidPoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderHeight?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderHeight?definition http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderBase?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderHeight?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITCylinder http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderVolume +constant http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderVolume +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderVolume?type http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderType?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderVolume?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderVolume?definition http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderType?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderVolume?definition http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderArea?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderVolume?definition http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderHeight?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderVolume?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderVolume?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type diff --git a/relational/http..mathhub.info/FrameIT/frameworld/$Frame$I$T$Rectangles.rel b/relational/http..mathhub.info/FrameIT/frameworld/$Frame$I$T$Rectangles.rel new file mode 100644 index 0000000000000000000000000000000000000000..fe81779ffcf405bb82c9b6591c31ba314a139370 --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/$Frame$I$T$Rectangles.rel @@ -0,0 +1,288 @@ +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITRectangles?isRectangle +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectangleProof +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomRectParallelOne +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomRectParallelOneAdjusted +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomRectParallelADBC +datatypeconstructor http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectangle_type +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITRectangles?mkRectangle +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITRectangles?cornerA +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITRectangles?cornerB +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITRectangles?cornerC +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITRectangles?cornerD +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectSideAD +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectSideBC +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomCornerA +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomCornerB +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomCornerC +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomCornerD +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomSideAD +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomSideBC +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleABCD +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleADBC +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParallADBCProof2 +theory http://mathhub.info/FrameIT/frameworld?FrameITRectangles +HasMeta http://mathhub.info/FrameIT/frameworld?FrameITRectangles http://cds.omdoc.org/urtheories?LF +Includes http://mathhub.info/FrameIT/frameworld?FrameITRectangles http://mathhub.info/MitM/core/geometry?3DGeometry +Includes http://mathhub.info/FrameIT/frameworld?FrameITRectangles http://mathhub.info/MitM/core/geometry?Planes +Includes http://mathhub.info/FrameIT/frameworld?FrameITRectangles http://mathhub.info/FrameIT/frameworld?FrameITBasics +Declares http://mathhub.info/FrameIT/frameworld?FrameITRectangles http://mathhub.info/FrameIT/frameworld?FrameITRectangles?isRectangle +constant http://mathhub.info/FrameIT/frameworld?FrameITRectangles?isRectangle +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?isRectangle?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?isRectangle?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?isRectangle?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?isRectangle?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?isRectangle?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?rightAngle?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?isRectangle?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?isRectangle?definition http://mathhub.info/MitM/Foundation?Logic?and?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?isRectangle?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?isRectangle?definition http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?FrameITRectangles http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectangleProof +constant http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectangleProof +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectangleProof?type http://mathhub.info/FrameIT/frameworld?FrameITBasics?rightAngle?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectangleProof?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectangleProof?type http://mathhub.info/FrameIT/frameworld?FrameITRectangles?isRectangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectangleProof?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectangleProof?type http://mathhub.info/FrameIT/frameworld?FrameITRectangles?isRectangle?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectangleProof?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectangleProof?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectangleProof?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectangleProof?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITRectangles http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomRectParallelOne +constant http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomRectParallelOne +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomRectParallelOne?type http://mathhub.info/MitM/core/geometry?Geometry/Common?lineOf?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomRectParallelOne?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomRectParallelOne?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomRectParallelOne?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomRectParallelOne?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomRectParallelOne?type http://mathhub.info/MitM/core/geometry?Geometry/Common?parallelLine?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomRectParallelOne?type http://mathhub.info/FrameIT/frameworld?FrameITRectangles?isRectangle?type +DependsOn 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http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomSideBC?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomSideBC?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomSideBC?type http://mathhub.info/FrameIT/frameworld?FrameITRectangles?mkRectangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomSideBC?type http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomSideBC?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomSideBC?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomSideBC?type http://cds.omdoc.org/urtheories?Ded?DED?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomSideBC?type http://mathhub.info/FrameIT/frameworld?FrameITRectangles?isRectangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomSideBC?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomSideBC?type http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectSideBC?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomSideBC?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomSideBC?type http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectangle_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomSideBC?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?FrameITRectangles http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomSideBC/Simplify +constant http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomSideBC/Simplify +Declares http://mathhub.info/FrameIT/frameworld?FrameITRectangles http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleABCD +constant http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleABCD +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleABCD?type http://mathhub.info/FrameIT/frameworld?FrameITRectangles?cornerC?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleABCD?type http://mathhub.info/MitM/core/geometry?Geometry/Common?lineOf?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleABCD?type http://mathhub.info/FrameIT/frameworld?FrameITRectangles?cornerA?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleABCD?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleABCD?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleABCD?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleABCD?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleABCD?type http://mathhub.info/MitM/core/geometry?Geometry/Common?parallelLine?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleABCD?type http://mathhub.info/FrameIT/frameworld?FrameITRectangles?cornerB?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleABCD?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleABCD?type http://mathhub.info/FrameIT/frameworld?FrameITRectangles?cornerD?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleABCD?type http://mathhub.info/MitM/core/geometry?Geometry/Common?parallelLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleABCD?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleABCD?type http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectangle_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleABCD?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?FrameITRectangles http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleADBC +constant http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleADBC +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleADBC?type http://mathhub.info/MitM/core/geometry?Geometry/Common?parallelLine?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleADBC?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleADBC?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleADBC?type http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectSideBC?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleADBC?type http://mathhub.info/MitM/core/geometry?Geometry/Common?parallelLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleADBC?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleADBC?type http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectSideAD?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleADBC?type http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectangle_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleADBC?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParalleADBC?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?FrameITRectangles http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParallADBCProof2 +constant http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParallADBCProof2 +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParallADBCProof2?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParallADBCProof2?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParallADBCProof2?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParallADBCProof2?type http://mathhub.info/MitM/core/geometry?Geometry/Common?parallelLine?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParallADBCProof2?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParallADBCProof2?type http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectSideBC?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParallADBCProof2?type http://mathhub.info/MitM/core/geometry?Geometry/Common?parallelLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParallADBCProof2?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParallADBCProof2?type http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectSideAD?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParallADBCProof2?type http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectangle_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectParallADBCProof2?type http://mathhub.info/MitM/Foundation?Logic?prop?definition diff --git a/relational/http..mathhub.info/FrameIT/frameworld/$Frame$I$T$Theories.rel b/relational/http..mathhub.info/FrameIT/frameworld/$Frame$I$T$Theories.rel new file mode 100644 index 0000000000000000000000000000000000000000..153448b0462463b248c971f57a9338f4f34750fd --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/$Frame$I$T$Theories.rel @@ -0,0 +1,59 @@ +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITTheories?TestBrokenA +theory http://mathhub.info/FrameIT/frameworld?FrameITTheories +HasMeta http://mathhub.info/FrameIT/frameworld?FrameITTheories http://cds.omdoc.org/urtheories?LF +Includes http://mathhub.info/FrameIT/frameworld?FrameITTheories http://mathhub.info/MitM/core/geometry?3DGeometry +Includes http://mathhub.info/FrameIT/frameworld?FrameITTheories http://mathhub.info/MitM/core/geometry?Planes +Includes http://mathhub.info/FrameIT/frameworld?FrameITTheories http://mathhub.info/FrameIT/frameworld?FrameITTriangles +Includes http://mathhub.info/FrameIT/frameworld?FrameITTheories http://mathhub.info/FrameIT/frameworld?FrameITRectangles +Includes http://mathhub.info/FrameIT/frameworld?FrameITTheories http://mathhub.info/FrameIT/frameworld?FrameITCircle +Includes http://mathhub.info/FrameIT/frameworld?FrameITTheories http://mathhub.info/FrameIT/frameworld?FrameITCone +Includes http://mathhub.info/FrameIT/frameworld?FrameITTheories http://mathhub.info/FrameIT/frameworld?FrameITCylinder +Declares http://mathhub.info/FrameIT/frameworld?FrameITTheories http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints +constant http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?subtractPointPoint?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?lineOf?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/FrameIT/frameworld?FrameITTriangles?wrapCramerRuleIntersectionForIntersectingBisectors?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?directionLine?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/FrameIT/frameworld?FrameITTriangles?cramerRuleIntersection?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?metric?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/MitM/core/geometry?3DGeometry?vec_cross?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/FrameIT/frameworld?FrameITTriangles?intersectionTwoLines?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/FrameIT/frameworld?FrameITTriangles?trianglePerpendicularBisectorBC3D?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point1?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_constructor?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circle3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?basepoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?multiplyPointScalar?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/FrameIT/frameworld?FrameITTriangles?trianglePerpendicularBisectorAB3D?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point2?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleToPlane2?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?addPointPoint?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?targetpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point3?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/MitM/core/geometry?Planes?ParametrizedPlane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?makeCircleOf3EdgePoints?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITTheories http://mathhub.info/FrameIT/frameworld?FrameITTheories?TestBrokenA +constant http://mathhub.info/FrameIT/frameworld?FrameITTheories?TestBrokenA +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?TestBrokenA?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?TestBrokenA?definition http://mathhub.info/MitM/Foundation?NatLiterals?nat_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?TestBrokenA?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?TestBrokenA?definition http://mathhub.info/MitM/Foundation?NatLiterals?pos_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTheories?TestBrokenA?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type diff --git a/relational/http..mathhub.info/FrameIT/frameworld/$Frame$I$T$Triangles.rel b/relational/http..mathhub.info/FrameIT/frameworld/$Frame$I$T$Triangles.rel new file mode 100644 index 0000000000000000000000000000000000000000..5ebbcca47e76901826f4a658d5c029c793e91ff8 --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/$Frame$I$T$Triangles.rel @@ -0,0 +1,304 @@ +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITTriangles?axiomAtriangle +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITTriangles?axiomBtriangle +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITTriangles?axiomCtriangle +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleToPlane2 +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITTriangles?trianglePerpendicularBisectorAB3D +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITTriangles?trianglePerpendicularBisectorBC3D +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITTriangles?trianglePerpendicularBisectorCA3D +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITTriangles?trianglePerpendicularBisectorIntersectAxiom +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITTriangles?cramerRuleIntersection +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITTriangles?wrapCramerRuleIntersectionForIntersectingBisectors +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITTriangles?intersectionTwoLines +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint +dataconstructor http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper +theory http://mathhub.info/FrameIT/frameworld?FrameITTriangles +HasMeta http://mathhub.info/FrameIT/frameworld?FrameITTriangles http://cds.omdoc.org/urtheories?LF +Includes http://mathhub.info/FrameIT/frameworld?FrameITTriangles http://mathhub.info/MitM/core/geometry?3DGeometry +Includes http://mathhub.info/FrameIT/frameworld?FrameITTriangles http://mathhub.info/MitM/core/geometry?Planes +Includes http://mathhub.info/FrameIT/frameworld?FrameITTriangles http://mathhub.info/FrameIT/frameworld?FrameITBasics +Declares http://mathhub.info/FrameIT/frameworld?FrameITTriangles http://mathhub.info/FrameIT/frameworld?FrameITTriangles?axiomAtriangle +constant http://mathhub.info/FrameIT/frameworld?FrameITTriangles?axiomAtriangle +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?axiomAtriangle?type http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?axiomAtriangle?type http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point1?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?axiomAtriangle?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?axiomAtriangle?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?axiomAtriangle?type http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_constructor?type +DependsOn 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http://mathhub.info/FrameIT/frameworld?FrameITTriangles?cramerRuleIntersection?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?cramerRuleIntersection?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?cramerRuleIntersection?definition http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?cramerRuleIntersection?definition http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?cramerRuleIntersection?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?div?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?cramerRuleIntersection?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?cramerRuleIntersection?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?cramerRuleIntersection?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?cramerRuleIntersection?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?cramerRuleIntersection?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?cramerRuleIntersection?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?cramerRuleIntersection?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?cramerRuleIntersection?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?epsi?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?cramerRuleIntersection?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?cramerRuleIntersection?definition http://mathhub.info/MitM/Foundation?RealLiterals?minus_real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?cramerRuleIntersection?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?cramerRuleIntersection?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?epsi?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?cramerRuleIntersection?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITTriangles http://mathhub.info/FrameIT/frameworld?FrameITTriangles?wrapCramerRuleIntersectionForIntersectingBisectors +constant http://mathhub.info/FrameIT/frameworld?FrameITTriangles?wrapCramerRuleIntersectionForIntersectingBisectors +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?wrapCramerRuleIntersectionForIntersectingBisectors?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?wrapCramerRuleIntersectionForIntersectingBisectors?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?wrapCramerRuleIntersectionForIntersectingBisectors?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?basepoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?wrapCramerRuleIntersectionForIntersectingBisectors?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?subtractPointPoint?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?wrapCramerRuleIntersectionForIntersectingBisectors?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?wrapCramerRuleIntersectionForIntersectingBisectors?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?wrapCramerRuleIntersectionForIntersectingBisectors?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?wrapCramerRuleIntersectionForIntersectingBisectors?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?directionLine?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?wrapCramerRuleIntersectionForIntersectingBisectors?definition http://mathhub.info/FrameIT/frameworld?FrameITTriangles?cramerRuleIntersection?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?wrapCramerRuleIntersectionForIntersectingBisectors?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?wrapCramerRuleIntersectionForIntersectingBisectors?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?targetpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?wrapCramerRuleIntersectionForIntersectingBisectors?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?wrapCramerRuleIntersectionForIntersectingBisectors?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?wrapCramerRuleIntersectionForIntersectingBisectors?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITTriangles http://mathhub.info/FrameIT/frameworld?FrameITTriangles?intersectionTwoLines +constant http://mathhub.info/FrameIT/frameworld?FrameITTriangles?intersectionTwoLines +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?intersectionTwoLines?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?intersectionTwoLines?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?intersectionTwoLines?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?intersectionTwoLines?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?basepoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?intersectionTwoLines?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?subtractPointPoint?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?intersectionTwoLines?definition http://mathhub.info/FrameIT/frameworld?FrameITTriangles?wrapCramerRuleIntersectionForIntersectingBisectors?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?intersectionTwoLines?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?intersectionTwoLines?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?multiplyPointScalar?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?intersectionTwoLines?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?intersectionTwoLines?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?intersectionTwoLines?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?directionLine?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?intersectionTwoLines?definition http://mathhub.info/FrameIT/frameworld?FrameITTriangles?cramerRuleIntersection?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?intersectionTwoLines?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?intersectionTwoLines?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?addPointPoint?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?intersectionTwoLines?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?intersectionTwoLines?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?targetpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?intersectionTwoLines?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?intersectionTwoLines?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?intersectionTwoLines?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?intersectionTwoLines?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITTriangles http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint +constant http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?type http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?subtractPointPoint?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?lineOf?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition http://mathhub.info/FrameIT/frameworld?FrameITTriangles?wrapCramerRuleIntersectionForIntersectingBisectors?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?directionLine?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition http://mathhub.info/FrameIT/frameworld?FrameITTriangles?cramerRuleIntersection?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition http://mathhub.info/MitM/core/geometry?3DGeometry?vec_cross?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition http://mathhub.info/FrameIT/frameworld?FrameITTriangles?intersectionTwoLines?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition http://mathhub.info/FrameIT/frameworld?FrameITTriangles?trianglePerpendicularBisectorBC3D?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point1?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?basepoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?multiplyPointScalar?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition http://mathhub.info/FrameIT/frameworld?FrameITTriangles?trianglePerpendicularBisectorAB3D?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point2?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleToPlane2?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?addPointPoint?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?targetpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point3?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +Declares http://mathhub.info/FrameIT/frameworld?FrameITTriangles http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper +constant http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPoint?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?subtractPointPoint?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?lineOf?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/FrameIT/frameworld?FrameITTriangles?wrapCramerRuleIntersectionForIntersectingBisectors?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?directionLine?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/FrameIT/frameworld?FrameITTriangles?cramerRuleIntersection?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/MitM/core/geometry?3DGeometry?vec_cross?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/FrameIT/frameworld?FrameITTriangles?intersectionTwoLines?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/FrameIT/frameworld?FrameITTriangles?trianglePerpendicularBisectorBC3D?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point1?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_constructor?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?basepoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?multiplyPointScalar?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/FrameIT/frameworld?FrameITTriangles?trianglePerpendicularBisectorAB3D?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point2?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleToPlane2?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?addPointPoint?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?targetpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point3?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?FrameITTriangles?triangleMidPointWrapper?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type diff --git a/relational/http..mathhub.info/FrameIT/frameworld/$Intercept$Theorem.rel b/relational/http..mathhub.info/FrameIT/frameworld/$Intercept$Theorem.rel new file mode 100644 index 0000000000000000000000000000000000000000..d6713efb87ec598a274442fc2bf926f1b1ea0fe4 --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/$Intercept$Theorem.rel @@ -0,0 +1,224 @@ +theory http://mathhub.info/FrameIT/frameworld?InterceptTheorem +HasMeta http://mathhub.info/FrameIT/frameworld?InterceptTheorem http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?InterceptTheorem http://mathhub.info/FrameIT/frameworld?InterceptTheorem?Problem +theory http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem +HasMeta http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S +constant http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A +constant http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B +constant http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?C +constant http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?C +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?C?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?C?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D +constant http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?H +constant http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?H +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?H?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +Declares http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?G +constant http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?G +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?G?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +Declares http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?L +constant http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?L +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?L?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +Declares http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?M +constant http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?M +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?M?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +Declares http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A_on_H +constant http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A_on_H +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A_on_H?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A_on_H?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A_on_H?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?H?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A_on_H?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A_on_H?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A_on_H?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A_on_H?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A_on_H?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A_on_H?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?C_on_H +constant http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?C_on_H +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?C_on_H?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?C_on_H?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?H?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?C_on_H?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?C_on_H?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?C_on_H?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?C_on_H?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?C_on_H?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?C_on_H?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?C?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?C_on_H?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B_on_G +constant http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B_on_G +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B_on_G?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?G?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B_on_G?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B_on_G?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B_on_G?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B_on_G?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B_on_G?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B_on_G?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B_on_G?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B_on_G?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D_on_G +constant http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D_on_G +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D_on_G?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?G?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D_on_G?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D_on_G?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D_on_G?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D_on_G?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D_on_G?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D_on_G?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D_on_G?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D_on_G?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S_on_L +constant http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S_on_L +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S_on_L?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?L?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S_on_L?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S_on_L?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S_on_L?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S_on_L?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S_on_L?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S_on_L?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S_on_L?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S_on_L?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A_on_L +constant http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A_on_L +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A_on_L?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A_on_L?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?L?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A_on_L?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A_on_L?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A_on_L?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A_on_L?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A_on_L?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A_on_L?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A_on_L?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B_on_L +constant http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B_on_L +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B_on_L?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?L?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B_on_L?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B_on_L?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B_on_L?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B_on_L?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B_on_L?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B_on_L?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B_on_L?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B_on_L?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S_on_M +constant http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S_on_M +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S_on_M?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S_on_M?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S_on_M?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S_on_M?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S_on_M?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S_on_M?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S_on_M?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?M?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S_on_M?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S_on_M?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?C_on_M +constant http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?C_on_M +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?C_on_M?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?C_on_M?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?C_on_M?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?C_on_M?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?C_on_M?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?C_on_M?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?M?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?C_on_M?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?C_on_M?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?C?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?C_on_M?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D_on_M +constant http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D_on_M +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D_on_M?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D_on_M?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D_on_M?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D_on_M?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D_on_M?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D_on_M?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D_on_M?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?M?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D_on_M?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D_on_M?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceSA +constant http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceSA +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceSA?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceSA?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceSA?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceSA?type http://mathhub.info/MitM/core/geometry?Geometry/Common?metric?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceSA?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceSA?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceSA?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceSA?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceSA?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceAC +constant http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceAC +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceAC?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?A?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceAC?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceAC?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceAC?type http://mathhub.info/MitM/core/geometry?Geometry/Common?metric?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceAC?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceAC?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceAC?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?C?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceAC?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceAC?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceSB +constant http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceSB +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceSB?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceSB?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceSB?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceSB?type http://mathhub.info/MitM/core/geometry?Geometry/Common?metric?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceSB?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?S?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceSB?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceSB?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceSB?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceSB?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?AC_||_BD +constant http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?AC_||_BD +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?AC_||_BD?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?G?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?AC_||_BD?type http://mathhub.info/MitM/core/geometry?Geometry/Common?parallelLine?definition +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?AC_||_BD?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?H?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?AC_||_BD?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?AC_||_BD?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?AC_||_BD?type http://mathhub.info/MitM/core/geometry?Geometry/Common?parallelLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?AC_||_BD?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?AC_||_BD?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?AC_||_BD?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?InterceptTheorem http://mathhub.info/FrameIT/frameworld?InterceptTheorem?Solution +theory http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution +HasMeta http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Includes http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem +Declares http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution?deduceLineBD +constant http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution?deduceLineBD +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution?deduceLineBD?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution?deduceLineBD?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution?deduceLineBD?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution?deduceLineBD?type http://mathhub.info/MitM/core/geometry?Geometry/Common?metric?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution?deduceLineBD?type http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution?deduceLineBD?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution?deduceLineBD?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution?deduceLineBD?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution?deduceLineBD?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution?deduceLineBD?definition http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceSA?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution?deduceLineBD?definition http://cds.omdoc.org/urtheories?Strings?string?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution?deduceLineBD?definition http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?B?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution?deduceLineBD?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution?deduceLineBD?definition http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution?deduceLineBD?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?metric?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution?deduceLineBD?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution?deduceLineBD?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution?deduceLineBD?definition http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution?deduceLineBD?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution?deduceLineBD?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution?deduceLineBD?definition http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceAC?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution?deduceLineBD?definition http://cds.omdoc.org/urtheories?Ded?DED?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution?deduceLineBD?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?useDiv?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution?deduceLineBD?definition http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?D?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution?deduceLineBD?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution?deduceLineBD?definition http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Problem?distanceSB?type +DependsOn http://mathhub.info/FrameIT/frameworld?InterceptTheorem/Solution?deduceLineBD?definition http://mathhub.info/MitM/Foundation?Logic?prop?type diff --git a/relational/http..mathhub.info/FrameIT/frameworld/$Natuerliche$Zahlen.rel b/relational/http..mathhub.info/FrameIT/frameworld/$Natuerliche$Zahlen.rel new file mode 100644 index 0000000000000000000000000000000000000000..f2d58b3a28ccb6ebe9b18e8fa2fefedca7612ed4 --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/$Natuerliche$Zahlen.rel @@ -0,0 +1,12 @@ +datatypeconstructor http://mathhub.info/FrameIT/frameworld?NatuerlicheZahlen?natuerliche_Zahl +dataconstructor http://mathhub.info/FrameIT/frameworld?NatuerlicheZahlen?nachfolger_Funktion +dataconstructor http://mathhub.info/FrameIT/frameworld?NatuerlicheZahlen?axiom_nachfolger +theory http://mathhub.info/FrameIT/frameworld?NatuerlicheZahlen +HasMeta http://mathhub.info/FrameIT/frameworld?NatuerlicheZahlen http://cds.omdoc.org/urtheories?LF +Declares http://mathhub.info/FrameIT/frameworld?NatuerlicheZahlen http://mathhub.info/FrameIT/frameworld?NatuerlicheZahlen?natuerliche_Zahl +constant http://mathhub.info/FrameIT/frameworld?NatuerlicheZahlen?natuerliche_Zahl +Declares http://mathhub.info/FrameIT/frameworld?NatuerlicheZahlen http://mathhub.info/FrameIT/frameworld?NatuerlicheZahlen?nachfolger_Funktion +constant http://mathhub.info/FrameIT/frameworld?NatuerlicheZahlen?nachfolger_Funktion +DependsOn http://mathhub.info/FrameIT/frameworld?NatuerlicheZahlen?nachfolger_Funktion?type http://mathhub.info/FrameIT/frameworld?NatuerlicheZahlen?natuerliche_Zahl?type +Declares http://mathhub.info/FrameIT/frameworld?NatuerlicheZahlen http://mathhub.info/FrameIT/frameworld?NatuerlicheZahlen?axiom_nachfolger +constant http://mathhub.info/FrameIT/frameworld?NatuerlicheZahlen?axiom_nachfolger diff --git a/relational/http..mathhub.info/FrameIT/frameworld/$Parallel$Lines.rel b/relational/http..mathhub.info/FrameIT/frameworld/$Parallel$Lines.rel new file mode 100644 index 0000000000000000000000000000000000000000..c315ba5e6dd122e8b7930942ed72a7474dadd463 --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/$Parallel$Lines.rel @@ -0,0 +1,153 @@ +theory http://mathhub.info/FrameIT/frameworld?ParallelLines +HasMeta http://mathhub.info/FrameIT/frameworld?ParallelLines http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?ParallelLines http://mathhub.info/FrameIT/frameworld?ParallelLines?Problem +theory http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem +HasMeta http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?A +constant http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?A +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?A?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?A?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?B +constant http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?B +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?B?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?B?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?C +constant http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?C +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?C?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?C?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?D +constant http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?D +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?D?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?D?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?H +constant http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?H +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?H?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +Declares http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?G +constant http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?G +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?G?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +Declares http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleA +constant http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleA +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleA?type http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?D?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleA?type http://mathhub.info/FrameIT/frameworld?FrameITBasics?rightAngle?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleA?type http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?B?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleA?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleA?type http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?A?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleA?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleA?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleA?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleA?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleB +constant http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleB +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleB?type http://mathhub.info/FrameIT/frameworld?FrameITBasics?rightAngle?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleB?type http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?B?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleB?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleB?type http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?A?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleB?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleB?type http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?C?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleB?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleB?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleB?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleC +constant http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleC +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleC?type http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?D?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleC?type http://mathhub.info/FrameIT/frameworld?FrameITBasics?rightAngle?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleC?type http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?B?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleC?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleC?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleC?type http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?C?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleC?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleC?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleC?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleD +constant http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleD +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleD?type http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?D?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleD?type http://mathhub.info/FrameIT/frameworld?FrameITBasics?rightAngle?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleD?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleD?type http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?A?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleD?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleD?type http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?C?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleD?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleD?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleD?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?A_on_AD +constant http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?A_on_AD +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?A_on_AD?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?A_on_AD?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?A_on_AD?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?A_on_AD?type http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?H?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?A_on_AD?type http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?A?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?A_on_AD?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?A_on_AD?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?A_on_AD?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?A_on_AD?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?D_on_AD +constant http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?D_on_AD +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?D_on_AD?type http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?D?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?D_on_AD?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?D_on_AD?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?D_on_AD?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?D_on_AD?type http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?H?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?D_on_AD?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?D_on_AD?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?D_on_AD?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?D_on_AD?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?B_on_BC +constant http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?B_on_BC +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?B_on_BC?type http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?G?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?B_on_BC?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?B_on_BC?type http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?B?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?B_on_BC?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?B_on_BC?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?B_on_BC?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?B_on_BC?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?B_on_BC?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?B_on_BC?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?C_on_BC +constant http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?C_on_BC +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?C_on_BC?type http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?G?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?C_on_BC?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?C_on_BC?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?C_on_BC?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?C_on_BC?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?C_on_BC?type http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?C?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?C_on_BC?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?C_on_BC?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?C_on_BC?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?ParallelLines http://mathhub.info/FrameIT/frameworld?ParallelLines?Solution +theory http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution +HasMeta http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Includes http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem +Declares http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1 +constant http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1 +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?type http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?G?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?type http://mathhub.info/MitM/core/geometry?Geometry/Common?parallelLine?definition +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?type http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?H?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?type http://mathhub.info/MitM/core/geometry?Geometry/Common?parallelLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?definition http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?D?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?definition http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleA?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?definition http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?G?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?definition http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?A?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?definition http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleC?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?parallelLine?definition +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?definition http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleB?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?definition http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?C?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?definition http://mathhub.info/FrameIT/frameworld?FrameITRectangles?isRectangle?definition +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?definition http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?B?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?definition http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?H?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?definition http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?rightAngleD?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?definition http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?D_on_AD?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?definition http://mathhub.info/FrameIT/frameworld?FrameITRectangles?rectangleProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?definition http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?B_on_BC?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?definition http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?A_on_AD?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?definition http://mathhub.info/FrameIT/frameworld?ParallelLines/Problem?C_on_BC?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?definition http://mathhub.info/FrameIT/frameworld?FrameITRectangles?axiomRectParallelADBC?type +DependsOn http://mathhub.info/FrameIT/frameworld?ParallelLines/Solution?ParallelFact1?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition diff --git a/relational/http..mathhub.info/FrameIT/frameworld/$Plane$Angle$To$Angle$Scroll.rel b/relational/http..mathhub.info/FrameIT/frameworld/$Plane$Angle$To$Angle$Scroll.rel new file mode 100644 index 0000000000000000000000000000000000000000..08cbc7ed4e03dee3fb393e0ee414c81e66b1cfb3 --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/$Plane$Angle$To$Angle$Scroll.rel @@ -0,0 +1,123 @@ +theory http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll +HasMeta http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll?Problem +theory http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem +HasMeta http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?C +constant http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?C +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?C?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +Declares http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?L +constant http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?L +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?L?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +Declares http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?orthogonalCircleLine +constant http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?orthogonalCircleLine +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?orthogonalCircleLine?type http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?L?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?orthogonalCircleLine?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?orthogonalCircleLine?type http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?C?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?orthogonalCircleLine?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?orthogonalCircleLine?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?orthogonalCircleLine?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?orthogonalCircleLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?orthogonalCircleLine?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?orthogonalCircleLine?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?orthogonalCircleLine?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?planeLineAngle +constant http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?planeLineAngle +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?planeLineAngle?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?planeLineAngle?type http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?L?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?planeLineAngle?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?planeLineAngle?type http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?C?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?planeLineAngle?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?planeLineAngle?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?planeLineAngle?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?planeLineAngle?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?planeLineAngle?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?planeLineAngle?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?A +constant http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?A +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?A?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?A?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B +constant http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?P +constant http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?P +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?P?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?P?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?A_on_L +constant http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?A_on_L +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?A_on_L?type http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?L?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?A_on_L?type http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?A?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?A_on_L?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?A_on_L?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?A_on_L?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?A_on_L?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?A_on_L?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?A_on_L?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?A_on_L?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B_on_L +constant http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B_on_L +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B_on_L?type http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?L?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B_on_L?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B_on_L?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B_on_L?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B_on_L?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B_on_L?type http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B_on_L?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B_on_L?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B_on_L?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B_on_C +constant http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B_on_C +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B_on_C?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B_on_C?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B_on_C?type http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?C?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B_on_C?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?definition +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B_on_C?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B_on_C?type http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B_on_C?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B_on_C?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B_on_C?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B_on_C?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?P_on_C +constant http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?P_on_C +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?P_on_C?type http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?P?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?P_on_C?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?P_on_C?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?P_on_C?type http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?C?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?P_on_C?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?definition +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?P_on_C?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?P_on_C?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?P_on_C?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?P_on_C?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?P_on_C?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll?Solution +theory http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution +HasMeta http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Includes http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem +Declares http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution?deduceAngle +constant http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution?deduceAngle +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution?deduceAngle?type http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?A?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution?deduceAngle?type http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?P?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution?deduceAngle?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution?deduceAngle?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution?deduceAngle?type http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution?deduceAngle?type http://mathhub.info/MitM/core/geometry?Geometry/Common?angle_between?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution?deduceAngle?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution?deduceAngle?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution?deduceAngle?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution?deduceAngle?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution?deduceAngle?definition http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?A?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution?deduceAngle?definition http://cds.omdoc.org/urtheories?Strings?string?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution?deduceAngle?definition http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?P?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution?deduceAngle?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution?deduceAngle?definition http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?planeLineAngle?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution?deduceAngle?definition http://cds.omdoc.org/urtheories?Ded?DED?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution?deduceAngle?definition http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Problem?B?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?angle_between?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneAngleToAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/Foundation?Logic?prop?type diff --git a/relational/http..mathhub.info/FrameIT/frameworld/$Plane$Line$Angle$Scroll.rel b/relational/http..mathhub.info/FrameIT/frameworld/$Plane$Line$Angle$Scroll.rel new file mode 100644 index 0000000000000000000000000000000000000000..5813ae18187cba36275ee070e488c656b6ebab21 --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/$Plane$Line$Angle$Scroll.rel @@ -0,0 +1,82 @@ +theory http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll +HasMeta http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll?Problem +theory http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem +HasMeta http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?C +constant http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?C +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?C?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +Declares http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?L +constant http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?L +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?L?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +Declares http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?A +constant http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?A +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?A?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?A?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?A_on_L +constant http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?A_on_L +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?A_on_L?type http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?L?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?A_on_L?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?A_on_L?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?A_on_L?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?A_on_L?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?A_on_L?type http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?A?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?A_on_L?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?A_on_L?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?A_on_L?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?A_on_C +constant http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?A_on_C +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?A_on_C?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?A_on_C?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?A_on_C?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?definition +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?A_on_C?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?A_on_C?type http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?A?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?A_on_C?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?A_on_C?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?A_on_C?type http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?C?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?A_on_C?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?A_on_C?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll?Solution +theory http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution +HasMeta http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Includes http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem +Declares http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle +constant http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?type http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?L?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?type http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?C?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?subtractPointPoint?definition +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?definition http://cds.omdoc.org/urtheories?Strings?string?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?directionLine?definition +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circlePlane?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?C?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?radToDegree?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?basepoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Problem?L?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?targetpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?definition http://cds.omdoc.org/urtheories?Ded?DED?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?PlaneLineAngleScroll/Solution?deduceAngle?definition http://mathhub.info/MitM/Foundation?Logic?prop?type diff --git a/relational/http..mathhub.info/FrameIT/frameworld/$Rectangle$Scroll.rel b/relational/http..mathhub.info/FrameIT/frameworld/$Rectangle$Scroll.rel new file mode 100644 index 0000000000000000000000000000000000000000..a433bc962a6063127ebb2b50dbe1ab5e31d2636f --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/$Rectangle$Scroll.rel @@ -0,0 +1,503 @@ +theory http://mathhub.info/FrameIT/frameworld?RectangleScroll +HasMeta http://mathhub.info/FrameIT/frameworld?RectangleScroll http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?RectangleScroll http://mathhub.info/FrameIT/frameworld?RectangleScroll?Problem +theory http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem +HasMeta http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?A +constant http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?A +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?A?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?A?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?B +constant http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?B +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?B?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?B?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?C +constant http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?C +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?C?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?C?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?D +constant http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?D +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?D?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?D?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?rightAngleA +constant http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?rightAngleA +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?rightAngleA?type http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?A?type +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?rightAngleA?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?rightAngleA?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?rightAngleA?type http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?B?type +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?rightAngleA?type http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?D?type +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?rightAngleA?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?rightAngleA?type http://mathhub.info/MitM/core/geometry?Geometry/Common?angle_between?type +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?rightAngleA?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?rightAngleA?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?rightAngleA?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?rightAngleA?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?rightAngleB +constant http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?rightAngleB +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?rightAngleB?type http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?A?type +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?rightAngleB?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?rightAngleB?type http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?C?type +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?rightAngleB?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?rightAngleB?type http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?B?type +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?rightAngleB?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?rightAngleB?type http://mathhub.info/MitM/core/geometry?Geometry/Common?angle_between?type +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?rightAngleB?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?rightAngleB?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?rightAngleB?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?RectangleScroll/Problem?rightAngleB?type 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http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?SinOppositeLeg http://mathhub.info/FrameIT/frameworld?SinOppositeLeg?Problem +theory http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Problem +HasMeta http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Problem http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Includes http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Problem http://mathhub.info/FrameIT/frameworld?TriangleProblem_RightAngleAtC +Includes http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Problem http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtA +Declares http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Problem http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Problem?distanceAB +constant http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Problem?distanceAB +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Problem?distanceAB?type http://mathhub.info/FrameIT/frameworld?TriangleProblem?A?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Problem?distanceAB?type http://mathhub.info/FrameIT/frameworld?TriangleProblem?B?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Problem?distanceAB?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Problem?distanceAB?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Problem?distanceAB?type http://mathhub.info/MitM/core/geometry?Geometry/Common?metric?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Problem?distanceAB?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Problem?distanceAB?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Problem?distanceAB?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Problem?distanceAB?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?SinOppositeLeg http://mathhub.info/FrameIT/frameworld?SinOppositeLeg?Solution +theory http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution +HasMeta http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Includes http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Problem +Declares http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution?deduceOppositeLeg +constant http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution?deduceOppositeLeg +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution?deduceOppositeLeg?type http://mathhub.info/FrameIT/frameworld?TriangleProblem?C?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution?deduceOppositeLeg?type http://mathhub.info/FrameIT/frameworld?TriangleProblem?B?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution?deduceOppositeLeg?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution?deduceOppositeLeg?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution?deduceOppositeLeg?type http://mathhub.info/MitM/core/geometry?Geometry/Common?metric?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution?deduceOppositeLeg?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution?deduceOppositeLeg?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution?deduceOppositeLeg?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution?deduceOppositeLeg?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution?deduceOppositeLeg?definition http://mathhub.info/MitM/Foundation?Trigonometry?sin?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution?deduceOppositeLeg?definition http://cds.omdoc.org/urtheories?Strings?string?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution?deduceOppositeLeg?definition http://mathhub.info/FrameIT/frameworld?TriangleProblem?C?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution?deduceOppositeLeg?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution?deduceOppositeLeg?definition http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution?deduceOppositeLeg?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?metric?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution?deduceOppositeLeg?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution?deduceOppositeLeg?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution?deduceOppositeLeg?definition http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtA?angleA?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution?deduceOppositeLeg?definition http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution?deduceOppositeLeg?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution?deduceOppositeLeg?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution?deduceOppositeLeg?definition http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Problem?distanceAB?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution?deduceOppositeLeg?definition http://cds.omdoc.org/urtheories?Ded?DED?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution?deduceOppositeLeg?definition http://mathhub.info/FrameIT/frameworld?TriangleProblem?B?type +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution?deduceOppositeLeg?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?SinOppositeLeg/Solution?deduceOppositeLeg?definition http://mathhub.info/MitM/Foundation?Logic?prop?type diff --git a/relational/http..mathhub.info/FrameIT/frameworld/$Test$Scroll.rel b/relational/http..mathhub.info/FrameIT/frameworld/$Test$Scroll.rel new file mode 100644 index 0000000000000000000000000000000000000000..6f0d62c950677a7cf2d6e38d91a25e797948b176 --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/$Test$Scroll.rel @@ -0,0 +1,59 @@ +theory http://mathhub.info/FrameIT/frameworld?TestScroll +HasMeta http://mathhub.info/FrameIT/frameworld?TestScroll http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?TestScroll http://mathhub.info/FrameIT/frameworld?TestScroll?Problem +theory http://mathhub.info/FrameIT/frameworld?TestScroll/Problem +HasMeta http://mathhub.info/FrameIT/frameworld?TestScroll/Problem http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?TestScroll/Problem http://mathhub.info/FrameIT/frameworld?TestScroll/Problem?C +constant http://mathhub.info/FrameIT/frameworld?TestScroll/Problem?C +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Problem?C?type http://mathhub.info/FrameIT/frameworld?FrameITTheories?circle_type_3d?type +Declares http://mathhub.info/FrameIT/frameworld?TestScroll/Problem http://mathhub.info/FrameIT/frameworld?TestScroll/Problem?L +constant http://mathhub.info/FrameIT/frameworld?TestScroll/Problem?L +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Problem?L?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +Declares http://mathhub.info/FrameIT/frameworld?TestScroll http://mathhub.info/FrameIT/frameworld?TestScroll?Solution +theory http://mathhub.info/FrameIT/frameworld?TestScroll/Solution +HasMeta http://mathhub.info/FrameIT/frameworld?TestScroll/Solution http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Includes http://mathhub.info/FrameIT/frameworld?TestScroll/Solution http://mathhub.info/FrameIT/frameworld?TestScroll/Problem +Declares http://mathhub.info/FrameIT/frameworld?TestScroll/Solution http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest1 +constant http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest1 +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest1?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest1?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest1?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest1?definition http://mathhub.info/FrameIT/frameworld?FrameITTheories?circle_type_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest1?definition http://mathhub.info/FrameIT/frameworld?FrameITTheories?circle_plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest1?definition http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest1?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest1?definition http://mathhub.info/FrameIT/frameworld?TestScroll/Problem?C?type +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest1?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?TestScroll/Solution http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest2 +constant http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest2 +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest2?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest2?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest2?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest2?definition http://mathhub.info/FrameIT/frameworld?FrameITTheories?circle_type_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest2?definition http://mathhub.info/MitM/core/geometry?Planes?planeBase?type +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest2?definition http://mathhub.info/FrameIT/frameworld?FrameITTheories?circle_plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest2?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest2?definition http://mathhub.info/FrameIT/frameworld?TestScroll/Problem?C?type +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest2?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?TestScroll/Solution http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest +constant http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?basepoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest?definition http://mathhub.info/FrameIT/frameworld?FrameITTheories?circle_type_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?rad_to_degree?type +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest?definition http://mathhub.info/FrameIT/frameworld?FrameITTheories?circle_plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest?definition http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?targetpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?subtract_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest?definition http://mathhub.info/FrameIT/frameworld?TestScroll/Problem?L?type +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?direction_line?definition +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest?definition http://mathhub.info/FrameIT/frameworld?TestScroll/Problem?C?type +DependsOn http://mathhub.info/FrameIT/frameworld?TestScroll/Solution?deduceTest?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?angle_plane_line_calc?type diff --git a/relational/http..mathhub.info/FrameIT/frameworld/$Test.rel b/relational/http..mathhub.info/FrameIT/frameworld/$Test.rel new file mode 100644 index 0000000000000000000000000000000000000000..81ad2589056c92fae6fa3b11d815c41ed817b666 --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/$Test.rel @@ -0,0 +1,43 @@ +theory http://mathhub.info/FrameIT/frameworld?Test +HasMeta http://mathhub.info/FrameIT/frameworld?Test http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?Test http://mathhub.info/FrameIT/frameworld?Test?Problem +theory http://mathhub.info/FrameIT/frameworld?Test/Problem +HasMeta http://mathhub.info/FrameIT/frameworld?Test/Problem http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?Test/Problem http://mathhub.info/FrameIT/frameworld?Test/Problem?A +constant http://mathhub.info/FrameIT/frameworld?Test/Problem?A +DependsOn http://mathhub.info/FrameIT/frameworld?Test/Problem?A?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?Test/Problem?A?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?Test/Problem http://mathhub.info/FrameIT/frameworld?Test/Problem?B +constant http://mathhub.info/FrameIT/frameworld?Test/Problem?B +DependsOn http://mathhub.info/FrameIT/frameworld?Test/Problem?B?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?Test/Problem?B?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?Test/Problem http://mathhub.info/FrameIT/frameworld?Test/Problem?A_on_AB +constant http://mathhub.info/FrameIT/frameworld?Test/Problem?A_on_AB +DependsOn http://mathhub.info/FrameIT/frameworld?Test/Problem?A_on_AB?type http://mathhub.info/FrameIT/frameworld?Test/Problem?A?type +DependsOn http://mathhub.info/FrameIT/frameworld?Test/Problem?A_on_AB?type http://mathhub.info/MitM/core/geometry?Geometry/Common?lineOf?type +DependsOn http://mathhub.info/FrameIT/frameworld?Test/Problem?A_on_AB?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?Test/Problem?A_on_AB?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?Test/Problem?A_on_AB?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?Test/Problem?A_on_AB?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?Test/Problem?A_on_AB?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?Test/Problem?A_on_AB?type http://mathhub.info/FrameIT/frameworld?Test/Problem?B?type +DependsOn http://mathhub.info/FrameIT/frameworld?Test/Problem?A_on_AB?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?Test/Problem?A_on_AB?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?Test http://mathhub.info/FrameIT/frameworld?Test?Solution +theory http://mathhub.info/FrameIT/frameworld?Test/Solution +HasMeta http://mathhub.info/FrameIT/frameworld?Test/Solution http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Includes http://mathhub.info/FrameIT/frameworld?Test/Solution http://mathhub.info/FrameIT/frameworld?Test/Problem +Declares http://mathhub.info/FrameIT/frameworld?Test/Solution http://mathhub.info/FrameIT/frameworld?Test/Solution?TestFact +constant http://mathhub.info/FrameIT/frameworld?Test/Solution?TestFact +DependsOn http://mathhub.info/FrameIT/frameworld?Test/Solution?TestFact?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?Test/Solution?TestFact?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?Test/Solution?TestFact?definition http://mathhub.info/FrameIT/frameworld?Test/Problem?A?type +DependsOn http://mathhub.info/FrameIT/frameworld?Test/Solution?TestFact?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?Test/Solution?TestFact?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?Test/Solution?TestFact?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?Test/Solution?TestFact?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?Test/Solution?TestFact?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?Test/Solution?TestFact?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?Test/Solution?TestFact?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?Test/Solution?TestFact?definition http://mathhub.info/FrameIT/frameworld?Test/Problem?B?type +DependsOn http://mathhub.info/FrameIT/frameworld?Test/Solution?TestFact?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type diff --git a/relational/http..mathhub.info/FrameIT/frameworld/$Truncated$Cone$Problem.rel b/relational/http..mathhub.info/FrameIT/frameworld/$Truncated$Cone$Problem.rel new file mode 100644 index 0000000000000000000000000000000000000000..cd972a82692386f8ea7d51452b50b38f956e18f1 --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/$Truncated$Cone$Problem.rel @@ -0,0 +1,43 @@ +dataconstructor http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top +dataconstructor http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?areaTop +dataconstructor http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?orthoTopH +dataconstructor http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?S_on_Top +theory http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem +HasMeta http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Includes http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem http://mathhub.info/FrameIT/frameworld?ConeProblem +Declares http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top +constant http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +Declares http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?areaTop +constant http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?areaTop +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?areaTop?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?areaTop?type http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?areaTop?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?areaTop?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?areaTop?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?areaTop?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?areaTop?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?areaTop?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?orthoTopH +constant http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?orthoTopH +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?orthoTopH?type http://mathhub.info/FrameIT/frameworld?ConeProblem?H?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?orthoTopH?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?orthoTopH?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?orthoTopH?type http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?orthoTopH?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?orthoTopH?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?orthogonalCircleLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?orthoTopH?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?orthoTopH?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?orthoTopH?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?S_on_Top +constant http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?S_on_Top +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?S_on_Top?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?S_on_Top?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?S_on_Top?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle?definition +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?S_on_Top?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?S_on_Top?type http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?S_on_Top?type http://mathhub.info/FrameIT/frameworld?ConeProblem?S?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?S_on_Top?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?S_on_Top?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?S_on_Top?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?S_on_Top?type http://mathhub.info/MitM/Foundation?Logic?prop?definition diff --git a/relational/http..mathhub.info/FrameIT/frameworld/$Truncated$Cone$Volume$Scroll.rel b/relational/http..mathhub.info/FrameIT/frameworld/$Truncated$Cone$Volume$Scroll.rel new file mode 100644 index 0000000000000000000000000000000000000000..76e85347c0a4a9aad35ab3973bda878d68f57c72 --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/$Truncated$Cone$Volume$Scroll.rel @@ -0,0 +1,68 @@ +theory http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll +HasMeta http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Declares http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll?Problem +theory http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Problem +HasMeta http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Problem http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Includes http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Problem http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem +Declares http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Problem http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Problem?proofOfUnEqualSize +constant http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Problem?proofOfUnEqualSize +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Problem?proofOfUnEqualSize?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?unequalityCircles?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Problem?proofOfUnEqualSize?type http://mathhub.info/FrameIT/frameworld?ConeProblem?base?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Problem?proofOfUnEqualSize?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Problem?proofOfUnEqualSize?type http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Problem?proofOfUnEqualSize?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Problem?proofOfUnEqualSize?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Problem?proofOfUnEqualSize?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Problem?proofOfUnEqualSize?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll?Solution +theory http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution +HasMeta http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution http://mathhub.info/FrameIT/frameworld?FrameworldMeta +Includes http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Problem +Declares http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume +constant http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?orthoTopH?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/FrameIT/frameworld?ConeProblem?base?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?proofParallelCircles?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/FrameIT/frameworld?FrameITCone?mkTruncatedCone?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Problem?proofOfUnEqualSize?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeType?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/FrameIT/frameworld?ConeProblem?H?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeVolume?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?definition http://cds.omdoc.org/urtheories?Strings?string?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?orthoTopH?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?proofParallelCircles?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?areaTop?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?ConeProblem?height?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeType?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?ConeProblem?H?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeVolume?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?ConeProblem?base?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?FrameITCone?mkTruncatedCone?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Problem?proofOfUnEqualSize?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?definition http://cds.omdoc.org/urtheories?Ded?DED?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?useDiv?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?FrameITBasics?useRoot?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D?type +DependsOn http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume?definition http://mathhub.info/MitM/Foundation?Logic?prop?type diff --git a/relational/http..mathhub.info/FrameIT/frameworld/2$D$Points.rel b/relational/http..mathhub.info/FrameIT/frameworld/2$D$Points.rel new file mode 100644 index 0000000000000000000000000000000000000000..025c2ba615b4cb989da231568d30d040516aae15 --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/2$D$Points.rel @@ -0,0 +1,53 @@ +datatypeconstructor http://mathhub.info/FrameIT/frameworld?2DPoints?Point2D +dataconstructor http://mathhub.info/FrameIT/frameworld?2DPoints?Point2Dmk +dataconstructor http://mathhub.info/FrameIT/frameworld?2DPoints?XPoint2D +dataconstructor http://mathhub.info/FrameIT/frameworld?2DPoints?XPoint2DAxiom +dataconstructor http://mathhub.info/FrameIT/frameworld?2DPoints?YPoint2D +dataconstructor http://mathhub.info/FrameIT/frameworld?2DPoints?YPoint2DAxiom +theory http://mathhub.info/FrameIT/frameworld?2DPoints +HasMeta http://mathhub.info/FrameIT/frameworld?2DPoints http://cds.omdoc.org/urtheories?LF +Includes http://mathhub.info/FrameIT/frameworld?2DPoints http://mathhub.info/FrameIT/frameworld?FrameITBasics +Declares http://mathhub.info/FrameIT/frameworld?2DPoints http://mathhub.info/FrameIT/frameworld?2DPoints?Point2D +constant http://mathhub.info/FrameIT/frameworld?2DPoints?Point2D +Declares http://mathhub.info/FrameIT/frameworld?2DPoints http://mathhub.info/FrameIT/frameworld?2DPoints?Point2Dmk +constant http://mathhub.info/FrameIT/frameworld?2DPoints?Point2Dmk +DependsOn http://mathhub.info/FrameIT/frameworld?2DPoints?Point2Dmk?type http://mathhub.info/FrameIT/frameworld?2DPoints?Point2D?type +DependsOn http://mathhub.info/FrameIT/frameworld?2DPoints?Point2Dmk?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?2DPoints http://mathhub.info/FrameIT/frameworld?2DPoints?XPoint2D +constant http://mathhub.info/FrameIT/frameworld?2DPoints?XPoint2D +DependsOn http://mathhub.info/FrameIT/frameworld?2DPoints?XPoint2D?type http://mathhub.info/FrameIT/frameworld?2DPoints?Point2D?type +DependsOn http://mathhub.info/FrameIT/frameworld?2DPoints?XPoint2D?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?2DPoints http://mathhub.info/FrameIT/frameworld?2DPoints?XPoint2DAxiom +constant http://mathhub.info/FrameIT/frameworld?2DPoints?XPoint2DAxiom +DependsOn http://mathhub.info/FrameIT/frameworld?2DPoints?XPoint2DAxiom?type http://mathhub.info/FrameIT/frameworld?2DPoints?Point2Dmk?type +DependsOn http://mathhub.info/FrameIT/frameworld?2DPoints?XPoint2DAxiom?type http://mathhub.info/FrameIT/frameworld?2DPoints?Point2D?type +DependsOn http://mathhub.info/FrameIT/frameworld?2DPoints?XPoint2DAxiom?type http://mathhub.info/FrameIT/frameworld?2DPoints?XPoint2D?type +DependsOn http://mathhub.info/FrameIT/frameworld?2DPoints?XPoint2DAxiom?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?2DPoints?XPoint2DAxiom?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?2DPoints?XPoint2DAxiom?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?2DPoints?XPoint2DAxiom?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?2DPoints?XPoint2DAxiom?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?2DPoints?XPoint2DAxiom?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?2DPoints http://mathhub.info/FrameIT/frameworld?2DPoints?XPoint2DAxiom/Simplify +constant http://mathhub.info/FrameIT/frameworld?2DPoints?XPoint2DAxiom/Simplify +Declares http://mathhub.info/FrameIT/frameworld?2DPoints http://mathhub.info/FrameIT/frameworld?2DPoints?XPoint2DAxiom/Solve +constant http://mathhub.info/FrameIT/frameworld?2DPoints?XPoint2DAxiom/Solve +Declares http://mathhub.info/FrameIT/frameworld?2DPoints http://mathhub.info/FrameIT/frameworld?2DPoints?YPoint2D +constant http://mathhub.info/FrameIT/frameworld?2DPoints?YPoint2D +DependsOn http://mathhub.info/FrameIT/frameworld?2DPoints?YPoint2D?type http://mathhub.info/FrameIT/frameworld?2DPoints?Point2D?type +DependsOn http://mathhub.info/FrameIT/frameworld?2DPoints?YPoint2D?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?2DPoints http://mathhub.info/FrameIT/frameworld?2DPoints?YPoint2DAxiom +constant http://mathhub.info/FrameIT/frameworld?2DPoints?YPoint2DAxiom +DependsOn http://mathhub.info/FrameIT/frameworld?2DPoints?YPoint2DAxiom?type http://mathhub.info/FrameIT/frameworld?2DPoints?Point2Dmk?type +DependsOn http://mathhub.info/FrameIT/frameworld?2DPoints?YPoint2DAxiom?type http://mathhub.info/FrameIT/frameworld?2DPoints?Point2D?type +DependsOn http://mathhub.info/FrameIT/frameworld?2DPoints?YPoint2DAxiom?type http://mathhub.info/FrameIT/frameworld?2DPoints?YPoint2D?type +DependsOn http://mathhub.info/FrameIT/frameworld?2DPoints?YPoint2DAxiom?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?2DPoints?YPoint2DAxiom?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?2DPoints?YPoint2DAxiom?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?2DPoints?YPoint2DAxiom?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?2DPoints?YPoint2DAxiom?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?2DPoints?YPoint2DAxiom?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?2DPoints http://mathhub.info/FrameIT/frameworld?2DPoints?YPoint2DAxiom/Simplify +constant http://mathhub.info/FrameIT/frameworld?2DPoints?YPoint2DAxiom/Simplify +Declares http://mathhub.info/FrameIT/frameworld?2DPoints http://mathhub.info/FrameIT/frameworld?2DPoints?YPoint2DAxiom/Solve +constant http://mathhub.info/FrameIT/frameworld?2DPoints?YPoint2DAxiom/Solve diff --git a/relational/http..mathhub.info/FrameIT/frameworld/cheaty.rel b/relational/http..mathhub.info/FrameIT/frameworld/cheaty.rel new file mode 100644 index 0000000000000000000000000000000000000000..014b6fcf671ea69c02442aab90a7e6597d655be5 --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/cheaty.rel @@ -0,0 +1,1835 @@ +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?use_root +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?abs_value +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?epsi +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?multiply_point_scalar +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?add_point_point +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?direction_line +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?wrap_cramer_rule_intersection_for_intersecting_bisectors +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?test_function +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?testunctionv2 +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines_test +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test2 +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrap +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2 +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?parallelo +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?para_axio +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?line_on_proof_from +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?line_on_proof_to +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?axiom_A_triangle +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?axiom_B_triangle +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?axiom_C_triangle +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?axiom_basepoint2 +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?axiom_targetpoint2 +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiom12 +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiomNormal2 +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom12 +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom22 +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?triangleToPlane2 +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_CA_3d +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_intersect_axiom +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper +datatypeconstructor http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?circle_basic_definition_3d +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?circle_midpoint +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?circle_radius +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?circle_plane +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?axiom_midpoint +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?axiom_plane +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?axiom_radius +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?point_on_circle +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?mid_always_on_circle +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?area_circle +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?circum_circle +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?absolute_real_on_real +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?helper_function_for_projection +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line_calc +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?rad_to_degree +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?angle_circle_line +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_circle_line +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?right_angle +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?use_actual_scp +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?point_add +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?point_idk +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?point_idk2 +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?use_div +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?use_inv +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?use_expo +datatypeconstructor http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_type +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_of +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_apex +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_plane +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_apex +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_plane +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?distance_plane_point +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?distance_apex_plane +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?volume_cone +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?base_area_cone +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?parallelCircles +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?proofParallelCircles +datatypeconstructor http://mathhub.info/FrameIT/frameworld?cheaty?truncated_circle_cone_type +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?mk_truncated_circle_cone_type +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_base +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_top +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_base +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_top +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_height +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_volume +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?is_rectangle +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_proof +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one_adjusted +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_AD_BC +datatypeconstructor http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_type +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?mk_rectangle +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?corner_A +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?corner_B +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?corner_C +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?corner_D +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?rect_side_AD +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?rect_side_BC +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_A +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_B +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_C +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_D +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_AD +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_BC +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AB_CD +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AD_BC +dataconstructor http://mathhub.info/FrameIT/frameworld?cheaty?rect_parall_AD_BC_proof2 +theory http://mathhub.info/FrameIT/frameworld?cheaty +HasMeta http://mathhub.info/FrameIT/frameworld?cheaty http://cds.omdoc.org/urtheories?LF +Includes http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/MitM/core/geometry?3DGeometry +Includes http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/MitM/core/geometry?Planes +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?use_root +constant http://mathhub.info/FrameIT/frameworld?cheaty?use_root +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_root?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_root?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_root?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?exponentiation?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_root?definition http://mathhub.info/MitM/Foundation?NatLiterals?nat_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_root?definition http://mathhub.info/MitM/Foundation?Logic?exists_unique?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_root?definition http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_root?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_root?definition http://mathhub.info/MitM/Foundation?Logic?exists_unique?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_root?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_root?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_root?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_root?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?squareRoot?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_root?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_root?definition http://mathhub.info/MitM/Foundation?NatLiterals?pos_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_root?definition http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?abs_value +constant http://mathhub.info/FrameIT/frameworld?cheaty?abs_value +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?abs_value?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?abs_value?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?abs_value?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?exponentiation?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?abs_value?definition http://mathhub.info/MitM/Foundation?NatLiterals?nat_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?abs_value?definition http://mathhub.info/MitM/Foundation?Logic?exists_unique?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?abs_value?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_pow?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?abs_value?definition http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?abs_value?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?abs_value?definition http://mathhub.info/MitM/Foundation?Logic?exists_unique?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?abs_value?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?abs_value?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?abs_value?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?abs_value?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?squareRoot?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?abs_value?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?abs_value?definition http://mathhub.info/MitM/Foundation?NatLiterals?pos_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?abs_value?definition http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?epsi +constant http://mathhub.info/FrameIT/frameworld?cheaty?epsi +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?epsi?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?epsi?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?multiply_point_scalar +constant http://mathhub.info/FrameIT/frameworld?cheaty?multiply_point_scalar +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?multiply_point_scalar?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?multiply_point_scalar?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?multiply_point_scalar?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?multiply_point_scalar?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?multiply_point_scalar?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?multiply_point_scalar?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?multiply_point_scalar?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?multiply_point_scalar?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?multiply_point_scalar?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?multiply_point_scalar?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?add_point_point +constant http://mathhub.info/FrameIT/frameworld?cheaty?add_point_point +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?add_point_point?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?add_point_point?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?add_point_point?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?add_point_point?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?add_point_point?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?add_point_point?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?add_point_point?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?add_point_point?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?add_point_point?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point +constant http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?direction_line +constant http://mathhub.info/FrameIT/frameworld?cheaty?direction_line +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?direction_line?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?direction_line?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?direction_line?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?direction_line?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?targetpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?direction_line?definition http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?direction_line?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?basepoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?direction_line?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?direction_line?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?direction_line?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?direction_line?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?direction_line?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?direction_line?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?direction_line?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection +constant http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?definition http://cds.omdoc.org/urtheories?NatSymbols?NAT?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?definition http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?definition http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?div?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?definition http://mathhub.info/FrameIT/frameworld?cheaty?epsi?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?definition http://mathhub.info/MitM/Foundation?RealLiterals?minus_real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?definition http://mathhub.info/FrameIT/frameworld?cheaty?epsi?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?wrap_cramer_rule_intersection_for_intersecting_bisectors +constant http://mathhub.info/FrameIT/frameworld?cheaty?wrap_cramer_rule_intersection_for_intersecting_bisectors +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_cramer_rule_intersection_for_intersecting_bisectors?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_cramer_rule_intersection_for_intersecting_bisectors?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_cramer_rule_intersection_for_intersecting_bisectors?definition http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_cramer_rule_intersection_for_intersecting_bisectors?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?basepoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_cramer_rule_intersection_for_intersecting_bisectors?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_cramer_rule_intersection_for_intersecting_bisectors?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_cramer_rule_intersection_for_intersecting_bisectors?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_cramer_rule_intersection_for_intersecting_bisectors?definition http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_cramer_rule_intersection_for_intersecting_bisectors?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_cramer_rule_intersection_for_intersecting_bisectors?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?targetpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_cramer_rule_intersection_for_intersecting_bisectors?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_cramer_rule_intersection_for_intersecting_bisectors?definition http://mathhub.info/FrameIT/frameworld?cheaty?direction_line?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_cramer_rule_intersection_for_intersecting_bisectors?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_cramer_rule_intersection_for_intersecting_bisectors?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines +constant http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines?definition http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?basepoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines?definition http://mathhub.info/FrameIT/frameworld?cheaty?multiply_point_scalar?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines?definition http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines?definition http://mathhub.info/FrameIT/frameworld?cheaty?wrap_cramer_rule_intersection_for_intersecting_bisectors?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?targetpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines?definition http://mathhub.info/FrameIT/frameworld?cheaty?direction_line?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines?definition http://mathhub.info/FrameIT/frameworld?cheaty?add_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?test_function +constant http://mathhub.info/FrameIT/frameworld?cheaty?test_function +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?test_function?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?test_function?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?test_function?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?test_function?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?test_function?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?test_function?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?test_function?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?test_function?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?test_function?definition http://mathhub.info/MitM/Foundation?RealLiterals?minus_real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?test_function?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?testunctionv2 +constant http://mathhub.info/FrameIT/frameworld?cheaty?testunctionv2 +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?testunctionv2?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?testunctionv2?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?testunctionv2?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?testunctionv2?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?testunctionv2?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?testunctionv2?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?testunctionv2?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?testunctionv2?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?testunctionv2?definition http://mathhub.info/MitM/Foundation?RealLiterals?minus_real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?testunctionv2?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines_test +constant http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines_test +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines_test?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines_test?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines_test?definition http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines_test?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?basepoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines_test?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines_test?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines_test?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines_test?definition http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines_test?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines_test?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?targetpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines_test?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines_test?definition http://mathhub.info/FrameIT/frameworld?cheaty?direction_line?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines_test?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines_test?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test +constant http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/FrameIT/frameworld?cheaty?multiply_point_scalar?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?div?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?basepoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://cds.omdoc.org/urtheories?NatSymbols?NAT?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?targetpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/FrameIT/frameworld?cheaty?direction_line?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/FrameIT/frameworld?cheaty?epsi?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/MitM/Foundation?RealLiterals?minus_real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test?definition http://mathhub.info/FrameIT/frameworld?cheaty?epsi?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test2 +constant http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test2 +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test2?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test2?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test2?definition http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test2?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?basepoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test2?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test2?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test2?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test2?definition http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test2?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test2?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?targetpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test2?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test2?definition http://mathhub.info/FrameIT/frameworld?cheaty?direction_line?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test2?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test2?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrap +constant http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrap +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrap?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrap?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrap?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrap?definition http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrap?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?basepoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrap?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrap?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrap?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrap?definition http://mathhub.info/FrameIT/frameworld?cheaty?multiply_point_scalar?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrap?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrap?definition http://mathhub.info/FrameIT/frameworld?cheaty?wrap_intersection_test2?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrap?definition http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrap?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrap?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?targetpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrap?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrap?definition http://mathhub.info/FrameIT/frameworld?cheaty?direction_line?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrap?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrap?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2 +constant http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2 +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?definition http://mathhub.info/MitM/Foundation?Logic?exists_unique?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?definition http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?definition http://mathhub.info/FrameIT/frameworld?cheaty?multiply_point_scalar?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?definition http://mathhub.info/MitM/Foundation?Logic?exists_unique?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?definition http://mathhub.info/FrameIT/frameworld?cheaty?use_root?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?squareRoot?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?definition http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?basepoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?exponentiation?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?definition http://mathhub.info/MitM/Foundation?NatLiterals?nat_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?targetpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?definition http://mathhub.info/FrameIT/frameworld?cheaty?direction_line?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?definition http://mathhub.info/MitM/Foundation?NatLiterals?pos_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_wrapv2?definition http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?parallelo +constant http://mathhub.info/FrameIT/frameworld?cheaty?parallelo +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?parallelo?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?parallelo?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?parallelo?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?para_axio +constant http://mathhub.info/FrameIT/frameworld?cheaty?para_axio +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?para_axio?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?para_axio?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?para_axio?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?para_axio?type http://mathhub.info/FrameIT/frameworld?cheaty?parallelo?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?para_axio?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?para_axio?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?line_on_proof_from +constant http://mathhub.info/FrameIT/frameworld?cheaty?line_on_proof_from +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?line_on_proof_from?type http://mathhub.info/MitM/core/geometry?Geometry/Common?basepoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?line_on_proof_from?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?line_on_proof_from?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?line_on_proof_from?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?line_on_proof_from?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?line_on_proof_from?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?line_on_proof_from?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?line_on_proof_from?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?line_on_proof_from?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?line_on_proof_to +constant http://mathhub.info/FrameIT/frameworld?cheaty?line_on_proof_to +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?line_on_proof_to?type http://mathhub.info/MitM/core/geometry?Geometry/Common?targetpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?line_on_proof_to?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?line_on_proof_to?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?line_on_proof_to?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?line_on_proof_to?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?line_on_proof_to?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?line_on_proof_to?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?line_on_proof_to?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?line_on_proof_to?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_A_triangle +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_A_triangle +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_A_triangle?type http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_A_triangle?type http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point1?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_A_triangle?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_A_triangle?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_A_triangle?type http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_constructor?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_A_triangle?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_A_triangle?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_A_triangle?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_A_triangle?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_A_triangle?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_A_triangle/Simplify +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_A_triangle/Simplify +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_A_triangle/Solve +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_A_triangle/Solve +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_B_triangle +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_B_triangle +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_B_triangle?type http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_B_triangle?type http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point2?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_B_triangle?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_B_triangle?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_B_triangle?type http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_constructor?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_B_triangle?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_B_triangle?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_B_triangle?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_B_triangle?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_B_triangle?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_B_triangle/Simplify +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_B_triangle/Simplify +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_B_triangle/Solve +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_B_triangle/Solve +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_C_triangle +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_C_triangle +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_C_triangle?type http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_C_triangle?type http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point3?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_C_triangle?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_C_triangle?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_C_triangle?type http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_constructor?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_C_triangle?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_C_triangle?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_C_triangle?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_C_triangle?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_C_triangle?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_C_triangle/Simplify +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_C_triangle/Simplify +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_C_triangle/Solve +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_C_triangle/Solve +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_basepoint2 +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_basepoint2 +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_basepoint2?type http://mathhub.info/MitM/core/geometry?Geometry/Common?basepoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_basepoint2?type http://mathhub.info/MitM/core/geometry?Geometry/Common?lineOf?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_basepoint2?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_basepoint2?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_basepoint2?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_basepoint2?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_basepoint2?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_basepoint2?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_basepoint2?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_basepoint2?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_basepoint2/Simplify +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_basepoint2/Simplify +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_basepoint2/Solve +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_basepoint2/Solve +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_targetpoint2 +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_targetpoint2 +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_targetpoint2?type http://mathhub.info/MitM/core/geometry?Geometry/Common?targetpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_targetpoint2?type http://mathhub.info/MitM/core/geometry?Geometry/Common?lineOf?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_targetpoint2?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_targetpoint2?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_targetpoint2?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_targetpoint2?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_targetpoint2?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_targetpoint2?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_targetpoint2?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_targetpoint2?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_targetpoint2/Simplify +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_targetpoint2/Simplify +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_targetpoint2/Solve +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_targetpoint2/Solve +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiom12 +constant http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiom12 +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiom12?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiom12?type http://mathhub.info/MitM/core/geometry?Planes?ParametrizedPlane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiom12?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiom12?type http://mathhub.info/MitM/core/geometry?Planes?planeBase?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiom12?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiom12?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiom12?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiom12?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiom12?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiom12?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiom12/Simplify +constant http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiom12/Simplify +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiom12/Solve +constant http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiom12/Solve +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiomNormal2 +constant http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiomNormal2 +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiomNormal2?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiomNormal2?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiomNormal2?type http://mathhub.info/MitM/core/geometry?Planes?planeBase?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiomNormal2?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiomNormal2?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiomNormal2?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiomNormal2?type http://mathhub.info/MitM/core/geometry?Planes?pointNormalPlane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiomNormal2?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiomNormal2?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiomNormal2?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiomNormal2/Simplify +constant http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiomNormal2/Simplify +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiomNormal2/Solve +constant http://mathhub.info/FrameIT/frameworld?cheaty?PlaneBaseAxiomNormal2/Solve +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom12 +constant http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom12 +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom12?type http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom12?type http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom12?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom12?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom12?type http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom12?type http://mathhub.info/MitM/core/geometry?3DGeometry?vec_cross?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom12?type http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom12?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom12?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom12?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom12?type http://mathhub.info/MitM/core/geometry?Geometry/Common?normalize?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom12?type http://mathhub.info/MitM/core/geometry?Planes?ParametrizedPlane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom12?type http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom12?type http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom12?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom12?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom12?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom12?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom12/Simplify +constant http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom12/Simplify +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom22 +constant http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom22 +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom22?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom22?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom22?type http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom22?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom22?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom22?type http://mathhub.info/MitM/core/geometry?Geometry/Common?normalize?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom22?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom22?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom22?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom22?type http://mathhub.info/MitM/core/geometry?Planes?pointNormalPlane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom22?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom22/Simplify +constant http://mathhub.info/FrameIT/frameworld?cheaty?normalAxiom22/Simplify +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?triangleToPlane2 +constant http://mathhub.info/FrameIT/frameworld?cheaty?triangleToPlane2 +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangleToPlane2?type http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangleToPlane2?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangleToPlane2?definition http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangleToPlane2?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangleToPlane2?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangleToPlane2?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point2?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangleToPlane2?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangleToPlane2?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangleToPlane2?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangleToPlane2?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point1?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangleToPlane2?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point3?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangleToPlane2?definition http://mathhub.info/MitM/core/geometry?Planes?ParametrizedPlane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangleToPlane2?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangleToPlane2?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangleToPlane2?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d +constant http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d?type http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d?definition http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?lineOf?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point2?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d?definition http://mathhub.info/FrameIT/frameworld?cheaty?multiply_point_scalar?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d?definition http://mathhub.info/MitM/core/geometry?3DGeometry?vec_cross?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d?definition http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point1?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d?definition http://mathhub.info/FrameIT/frameworld?cheaty?triangleToPlane2?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d?definition http://mathhub.info/FrameIT/frameworld?cheaty?add_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d +constant http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d?type http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d?definition http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?lineOf?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point2?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d?definition http://mathhub.info/FrameIT/frameworld?cheaty?multiply_point_scalar?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d?definition http://mathhub.info/MitM/core/geometry?3DGeometry?vec_cross?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d?definition http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d?definition http://mathhub.info/FrameIT/frameworld?cheaty?triangleToPlane2?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point3?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d?definition http://mathhub.info/FrameIT/frameworld?cheaty?add_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_CA_3d +constant http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_CA_3d +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_CA_3d?type http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_CA_3d?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_CA_3d?definition http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_CA_3d?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?lineOf?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_CA_3d?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_CA_3d?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_CA_3d?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_CA_3d?definition http://mathhub.info/FrameIT/frameworld?cheaty?multiply_point_scalar?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_CA_3d?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_CA_3d?definition http://mathhub.info/MitM/core/geometry?3DGeometry?vec_cross?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_CA_3d?definition http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_CA_3d?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_CA_3d?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_CA_3d?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_CA_3d?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point1?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_CA_3d?definition http://mathhub.info/FrameIT/frameworld?cheaty?triangleToPlane2?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_CA_3d?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point3?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_CA_3d?definition http://mathhub.info/FrameIT/frameworld?cheaty?add_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_CA_3d?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_CA_3d?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_CA_3d?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_CA_3d?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_intersect_axiom +constant http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_intersect_axiom +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_intersect_axiom?type http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_intersect_axiom?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_intersect_axiom?type http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_intersect_axiom?type http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_intersect_axiom?type http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_intersect_axiom?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_intersect_axiom?type http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_intersect_axiom?type http://mathhub.info/MitM/core/geometry?Geometry/Common?intersect?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_intersect_axiom?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_intersect_axiom?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_intersect_axiom?type http://mathhub.info/MitM/core/geometry?Geometry/Common?intersect?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_intersect_axiom?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point +constant http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?type http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?lineOf?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition http://mathhub.info/FrameIT/frameworld?cheaty?multiply_point_scalar?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition http://mathhub.info/MitM/core/geometry?3DGeometry?vec_cross?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition http://mathhub.info/FrameIT/frameworld?cheaty?wrap_cramer_rule_intersection_for_intersecting_bisectors?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point1?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition http://mathhub.info/FrameIT/frameworld?cheaty?triangleToPlane2?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?basepoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point2?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?targetpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition http://mathhub.info/FrameIT/frameworld?cheaty?direction_line?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point3?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition http://mathhub.info/FrameIT/frameworld?cheaty?add_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper +constant http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?lineOf?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/FrameIT/frameworld?cheaty?multiply_point_scalar?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/MitM/core/geometry?3DGeometry?vec_cross?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/FrameIT/frameworld?cheaty?wrap_cramer_rule_intersection_for_intersecting_bisectors?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point1?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/FrameIT/frameworld?cheaty?triangleToPlane2?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_constructor?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?basepoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point2?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?targetpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/FrameIT/frameworld?cheaty?direction_line?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point3?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/FrameIT/frameworld?cheaty?add_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point_wrapper?definition http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d +constant http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?circle_basic_definition_3d +constant http://mathhub.info/FrameIT/frameworld?cheaty?circle_basic_definition_3d +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?circle_basic_definition_3d?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?circle_basic_definition_3d?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?circle_basic_definition_3d?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?circle_basic_definition_3d?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?circle_basic_definition_3d?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?circle_midpoint +constant http://mathhub.info/FrameIT/frameworld?cheaty?circle_midpoint +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?circle_midpoint?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?circle_midpoint?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?circle_midpoint?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?circle_radius +constant http://mathhub.info/FrameIT/frameworld?cheaty?circle_radius +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?circle_radius?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?circle_radius?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?circle_plane +constant http://mathhub.info/FrameIT/frameworld?cheaty?circle_plane +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?circle_plane?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?circle_plane?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_midpoint +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_midpoint +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_midpoint?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_basic_definition_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_midpoint?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_midpoint?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_midpoint?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_midpoint?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_midpoint?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_midpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_midpoint?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_midpoint?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_midpoint?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_midpoint?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_midpoint?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_midpoint/Simplify +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_midpoint/Simplify +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_midpoint/Solve +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_midpoint/Solve +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_plane +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_plane +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_plane?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_basic_definition_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_plane?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_plane?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_plane?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_plane?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_plane?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_plane?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_plane?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_plane?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_plane?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_plane?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_plane/Simplify +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_plane/Simplify +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_plane/Solve +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_plane/Solve +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_radius +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_radius +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_radius?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_basic_definition_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_radius?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_radius?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_radius?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_radius?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_radius?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_radius?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_radius?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_radius?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_radius?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_radius?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_radius?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_radius/Simplify +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_radius/Simplify +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_radius/Solve +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_radius/Solve +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?point_on_circle +constant http://mathhub.info/FrameIT/frameworld?cheaty?point_on_circle +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_on_circle?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_on_circle?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_on_circle?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_on_circle?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_on_circle?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_on_circle?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_on_circle?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_on_circle?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?metric?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_on_circle?definition http://mathhub.info/MitM/Foundation?Logic?and?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_on_circle?definition http://mathhub.info/MitM/Foundation?RealLiterals?leq_real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_on_circle?definition http://mathhub.info/MitM/core/geometry?Planes?pointOnPlane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_on_circle?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_on_circle?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_on_circle?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_radius?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_on_circle?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_midpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_on_circle?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_on_circle?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_on_circle?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_on_circle?definition http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?mid_always_on_circle +constant http://mathhub.info/FrameIT/frameworld?cheaty?mid_always_on_circle +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?mid_always_on_circle?type http://mathhub.info/FrameIT/frameworld?cheaty?point_on_circle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?mid_always_on_circle?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?mid_always_on_circle?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?mid_always_on_circle?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?mid_always_on_circle?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?mid_always_on_circle?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?mid_always_on_circle?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_midpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?mid_always_on_circle?type http://mathhub.info/FrameIT/frameworld?cheaty?point_on_circle?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?mid_always_on_circle?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?mid_always_on_circle?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?mid_always_on_circle?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?mid_always_on_circle?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points +constant http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?lineOf?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_basic_definition_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?metric?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_AB_3d?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/FrameIT/frameworld?cheaty?multiply_point_scalar?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/FrameIT/frameworld?cheaty?triangle_perpendicular_bisector_BC_3d?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/MitM/core/geometry?3DGeometry?vec_cross?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/FrameIT/frameworld?cheaty?cramer_rule_intersection?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/FrameIT/frameworld?cheaty?wrap_cramer_rule_intersection_for_intersecting_bisectors?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point1?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/FrameIT/frameworld?cheaty?triangleToPlane2?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/FrameIT/frameworld?cheaty?intersection_two_lines?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_constructor?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?basepoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point2?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?targetpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/FrameIT/frameworld?cheaty?direction_line?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point3?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/MitM/core/geometry?Planes?ParametrizedPlane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/FrameIT/frameworld?cheaty?add_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/FrameIT/frameworld?cheaty?triangle_mid_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?make_circle_of_3_edge_points?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane +constant http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane?definition http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane?definition http://mathhub.info/MitM/core/geometry?Planes?ParametrizedPlane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal +constant http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/Foundation?Logic?exists_unique?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/core/geometry?3DGeometry?vec_multI?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?inverse?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/core/geometry?3DGeometry?vec_cross?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/Foundation?Logic?exists_unique?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?squareRoot?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/Foundation?Logic?not?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://cds.omdoc.org/urtheories?NatSymbols?NAT?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?exponentiation?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/Foundation?NatLiterals?nat_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?scalar_product?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?div?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?norm?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?normalize?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://cds.omdoc.org/urtheories?Ded?DED?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?norm?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?vec_mult?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/Foundation?NatLiterals?pos_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/core/geometry?Planes?pointNormalPlane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?wrap_3_edge_points_to_plane_normal?definition http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?area_circle +constant http://mathhub.info/FrameIT/frameworld?cheaty?area_circle +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?area_circle?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?area_circle?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?area_circle?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_radius?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?area_circle?definition http://mathhub.info/MitM/Foundation?Trigonometry?pi_num?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?area_circle?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_pow?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?area_circle?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?area_circle?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?area_circle?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?circum_circle +constant http://mathhub.info/FrameIT/frameworld?cheaty?circum_circle +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?circum_circle?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?circum_circle?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?circum_circle?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_radius?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?circum_circle?definition http://mathhub.info/MitM/Foundation?Trigonometry?pi_num?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?circum_circle?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?circum_circle?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?circum_circle?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?absolute_real_on_real +constant http://mathhub.info/FrameIT/frameworld?cheaty?absolute_real_on_real +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?absolute_real_on_real?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?absolute_real_on_real?definition http://cds.omdoc.org/urtheories?NatSymbols?NAT?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?absolute_real_on_real?definition http://mathhub.info/MitM/Foundation?DescriptionOperator?if_then_else_case?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?absolute_real_on_real?definition http://mathhub.info/MitM/Foundation?RealLiterals?minus_real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?absolute_real_on_real?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?lessthan?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?absolute_real_on_real?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?absolute_real_on_real?definition http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?absolute_real_on_real?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?helper_function_for_projection +constant http://mathhub.info/FrameIT/frameworld?cheaty?helper_function_for_projection +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?helper_function_for_projection?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?helper_function_for_projection?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?helper_function_for_projection?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?helper_function_for_projection?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?helper_function_for_projection?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?helper_function_for_projection?definition http://cds.omdoc.org/urtheories?NatSymbols?NAT?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?helper_function_for_projection?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?helper_function_for_projection?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?helper_function_for_projection?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?scalar_product?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?helper_function_for_projection?definition http://mathhub.info/MitM/core/geometry?Planes?planeBase?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?helper_function_for_projection?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?helper_function_for_projection?definition http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?helper_function_for_projection?definition http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?helper_function_for_projection?definition http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?helper_function_for_projection?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?div?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?helper_function_for_projection?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?helper_function_for_projection?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?helper_function_for_projection?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?helper_function_for_projection?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?helper_function_for_projection?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?scalar_product?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?helper_function_for_projection?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?helper_function_for_projection?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane +constant http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?definition http://mathhub.info/FrameIT/frameworld?cheaty?multiply_point_scalar?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?definition http://mathhub.info/MitM/core/geometry?Planes?planeBase?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?definition http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?div?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?definition http://mathhub.info/FrameIT/frameworld?cheaty?helper_function_for_projection?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?scalar_product?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?definition http://cds.omdoc.org/urtheories?NatSymbols?NAT?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?scalar_product?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?definition http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?definition http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?definition http://mathhub.info/FrameIT/frameworld?cheaty?add_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line_calc +constant http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line_calc +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line_calc?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line_calc?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line_calc?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line_calc?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line_calc?definition http://cds.omdoc.org/urtheories?NatSymbols?NAT?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line_calc?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line_calc?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?scalar_product?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line_calc?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line_calc?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line_calc?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?norm?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line_calc?definition http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line_calc?definition http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line_calc?definition http://mathhub.info/MitM/Foundation?Trigonometry?asin?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line_calc?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?div?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line_calc?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line_calc?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line_calc?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?norm?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line_calc?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line_calc?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line_calc?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line +constant http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line?definition http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?basepoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line?definition http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line_calc?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line?definition http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?targetpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line?definition http://mathhub.info/FrameIT/frameworld?cheaty?direction_line?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?rad_to_degree +constant http://mathhub.info/FrameIT/frameworld?cheaty?rad_to_degree +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rad_to_degree?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rad_to_degree?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rad_to_degree?definition http://cds.omdoc.org/urtheories?NatSymbols?NAT?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rad_to_degree?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rad_to_degree?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rad_to_degree?definition http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rad_to_degree?definition http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rad_to_degree?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?div?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rad_to_degree?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rad_to_degree?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rad_to_degree?definition http://mathhub.info/MitM/Foundation?Trigonometry?pi_num?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rad_to_degree?definition http://mathhub.info/MitM/Foundation?Trigonometry?pi_num?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rad_to_degree?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rad_to_degree?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?angle_circle_line +constant http://mathhub.info/FrameIT/frameworld?cheaty?angle_circle_line +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_circle_line?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_circle_line?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_circle_line?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_circle_line?definition http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_circle_line?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?basepoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_circle_line?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_circle_line?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_circle_line?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_circle_line?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_circle_line?definition http://mathhub.info/FrameIT/frameworld?cheaty?angle_plane_line_calc?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_circle_line?definition http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_circle_line?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_circle_line?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?targetpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_circle_line?definition http://mathhub.info/FrameIT/frameworld?cheaty?rad_to_degree?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_circle_line?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_circle_line?definition http://mathhub.info/FrameIT/frameworld?cheaty?direction_line?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_circle_line?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_circle_line?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_circle_line?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?angle_circle_line?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_circle_line +constant http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_circle_line +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_circle_line?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_circle_line?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_circle_line?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_circle_line?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?right_angle +constant http://mathhub.info/FrameIT/frameworld?cheaty?right_angle +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?right_angle?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?right_angle?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?right_angle?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?right_angle?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?use_actual_scp +constant http://mathhub.info/FrameIT/frameworld?cheaty?use_actual_scp +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_actual_scp?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_actual_scp?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_actual_scp?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_actual_scp?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_actual_scp?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?scalar_product?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_actual_scp?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?point_add +constant http://mathhub.info/FrameIT/frameworld?cheaty?point_add +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_add?type http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_add?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_add?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_add?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_add?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_add?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point1?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_add?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?point_idk +constant http://mathhub.info/FrameIT/frameworld?cheaty?point_idk +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_idk?type http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_idk?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_idk?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_idk?definition http://mathhub.info/FrameIT/frameworld?cheaty?subtract_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_idk?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_idk?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_idk?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point2?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_idk?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_idk?definition http://mathhub.info/MitM/core/geometry?3DGeometry?vec_cross?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_idk?definition http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_idk?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_idk?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_idk?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_idk?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle_point1?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_idk?definition http://mathhub.info/FrameIT/frameworld?cheaty?triangleToPlane2?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_idk?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_idk?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_idk?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?point_idk2 +constant http://mathhub.info/FrameIT/frameworld?cheaty?point_idk2 +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_idk2?type http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_idk2?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_idk2?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_idk2?definition http://mathhub.info/MitM/core/geometry?Geometry/Triangles?triangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_idk2?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_idk2?definition http://mathhub.info/FrameIT/frameworld?cheaty?triangleToPlane2?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_idk2?definition http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_idk2?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?point_idk2?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?use_div +constant http://mathhub.info/FrameIT/frameworld?cheaty?use_div +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_div?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_div?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_div?definition http://cds.omdoc.org/urtheories?NatSymbols?NAT?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_div?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_div?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_div?definition http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_div?definition http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_div?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_div?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?div?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_div?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_div?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?use_inv +constant http://mathhub.info/FrameIT/frameworld?cheaty?use_inv +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_inv?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_inv?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_inv?definition http://cds.omdoc.org/urtheories?NatSymbols?NAT?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_inv?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_inv?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_inv?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?inverse?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_inv?definition http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_inv?definition http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_inv?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_inv?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_inv?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?use_expo +constant http://mathhub.info/FrameIT/frameworld?cheaty?use_expo +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_expo?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_expo?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_pow?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?use_expo?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_type +constant http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_of +constant http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_of +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_of?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_of?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_of?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_of?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_apex +constant http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_apex +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_apex?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_apex?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_apex?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_plane +constant http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_plane +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_plane?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_plane?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_apex +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_apex +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_apex?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_apex?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_apex?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_apex?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_apex?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_apex?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_apex?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_apex?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_apex?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_of?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_apex?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_apex?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_apex?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_apex/Simplify +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_apex/Simplify +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_apex/Solve +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_apex/Solve +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_plane +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_plane +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_plane?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_plane?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_plane?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_plane?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_plane?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_plane?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_plane?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_plane?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_of?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_plane?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_plane?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_plane?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_plane/Simplify +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_plane/Simplify +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_plane/Solve +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_cone_plane/Solve +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection +constant http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/FrameIT/frameworld?cheaty?multiply_point_scalar?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/MitM/core/geometry?Planes?planeBase?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?div?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/FrameIT/frameworld?cheaty?helper_function_for_projection?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?scalar_product?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://cds.omdoc.org/urtheories?NatSymbols?NAT?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_apex?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?scalar_product?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/FrameIT/frameworld?cheaty?add_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line +constant http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?lineOf?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/FrameIT/frameworld?cheaty?multiply_point_scalar?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/MitM/core/geometry?Planes?planeBase?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?div?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/FrameIT/frameworld?cheaty?helper_function_for_projection?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?scalar_product?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://cds.omdoc.org/urtheories?NatSymbols?NAT?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_apex?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?scalar_product?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/FrameIT/frameworld?cheaty?add_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_line?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length +constant http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?metric?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/FrameIT/frameworld?cheaty?multiply_point_scalar?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/MitM/core/geometry?Planes?planeBase?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?div?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/FrameIT/frameworld?cheaty?helper_function_for_projection?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?scalar_product?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://cds.omdoc.org/urtheories?NatSymbols?NAT?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_apex?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?scalar_product?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_projection_point_to_plane?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_projection?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/FrameIT/frameworld?cheaty?add_point_point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?cone_height_length?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?distance_plane_point +constant http://mathhub.info/FrameIT/frameworld?cheaty?distance_plane_point +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_plane_point?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_plane_point?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_plane_point?type http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_plane_point?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_plane_point?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_plane_point?definition http://cds.omdoc.org/urtheories?NatSymbols?NAT?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_plane_point?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_plane_point?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_plane_point?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?scalar_product?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_plane_point?definition http://mathhub.info/MitM/core/geometry?Planes?planeBase?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_plane_point?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_plane_point?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?norm?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_plane_point?definition http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_plane_point?definition http://mathhub.info/MitM/core/geometry?Planes?planeNormal?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_plane_point?definition http://mathhub.info/FrameIT/frameworld?cheaty?abs_value?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_plane_point?definition http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_plane_point?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?div?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_plane_point?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_plane_point?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_plane_point?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_plane_point?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?norm?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_plane_point?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_plane_point?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_plane_point?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?distance_apex_plane +constant http://mathhub.info/FrameIT/frameworld?cheaty?distance_apex_plane +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_apex_plane?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_apex_plane?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_apex_plane?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_apex_plane?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_apex?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_apex_plane?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_apex_plane?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_apex_plane?definition http://mathhub.info/FrameIT/frameworld?cheaty?distance_plane_point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_apex_plane?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_apex_plane?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_apex_plane?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?distance_apex_plane?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?volume_cone +constant http://mathhub.info/FrameIT/frameworld?cheaty?volume_cone +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?volume_cone?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?volume_cone?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?volume_cone?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?volume_cone?definition http://mathhub.info/FrameIT/frameworld?cheaty?area_circle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?volume_cone?definition http://cds.omdoc.org/urtheories?NatSymbols?NAT?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?volume_cone?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?volume_cone?definition http://mathhub.info/FrameIT/frameworld?cheaty?distance_apex_plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?volume_cone?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?volume_cone?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?volume_cone?definition http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?volume_cone?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?volume_cone?definition http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?volume_cone?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?div?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?volume_cone?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?volume_cone?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?volume_cone?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?volume_cone?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?volume_cone?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?base_area_cone +constant http://mathhub.info/FrameIT/frameworld?cheaty?base_area_cone +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?base_area_cone?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?base_area_cone?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?base_area_cone?definition http://mathhub.info/FrameIT/frameworld?cheaty?area_circle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?base_area_cone?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?base_area_cone?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_cone_plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?base_area_cone?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?base_area_cone?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?parallelCircles +constant http://mathhub.info/FrameIT/frameworld?cheaty?parallelCircles +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?parallelCircles?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?parallelCircles?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?parallelCircles?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?proofParallelCircles +constant http://mathhub.info/FrameIT/frameworld?cheaty?proofParallelCircles +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?proofParallelCircles?type http://mathhub.info/FrameIT/frameworld?cheaty?parallelCircles?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?proofParallelCircles?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?proofParallelCircles?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?proofParallelCircles?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?proofParallelCircles?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?proofParallelCircles?type http://mathhub.info/FrameIT/frameworld?cheaty?orthogonal_circle_line?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?proofParallelCircles?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?proofParallelCircles?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?truncated_circle_cone_type +constant http://mathhub.info/FrameIT/frameworld?cheaty?truncated_circle_cone_type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?mk_truncated_circle_cone_type +constant http://mathhub.info/FrameIT/frameworld?cheaty?mk_truncated_circle_cone_type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?mk_truncated_circle_cone_type?type http://mathhub.info/FrameIT/frameworld?cheaty?parallelCircles?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?mk_truncated_circle_cone_type?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?mk_truncated_circle_cone_type?type http://mathhub.info/FrameIT/frameworld?cheaty?truncated_circle_cone_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?mk_truncated_circle_cone_type?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?mk_truncated_circle_cone_type?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?mk_truncated_circle_cone_type?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?mk_truncated_circle_cone_type?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_base +constant http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_base +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_base?type http://mathhub.info/FrameIT/frameworld?cheaty?truncated_circle_cone_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_base?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_top +constant http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_top +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_top?type http://mathhub.info/FrameIT/frameworld?cheaty?truncated_circle_cone_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_top?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_base +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_base +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_base?type http://mathhub.info/FrameIT/frameworld?cheaty?parallelCircles?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_base?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_base?type http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_base?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_base?type http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_base?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_base?type http://cds.omdoc.org/urtheories?Ded?DED?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_base?type http://mathhub.info/FrameIT/frameworld?cheaty?mk_truncated_circle_cone_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_base?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_base?type http://mathhub.info/FrameIT/frameworld?cheaty?truncated_circle_cone_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_base?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_base?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_base?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_base/Simplify +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_base/Simplify +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_base/Solve +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_base/Solve +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_top +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_top +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_top?type http://mathhub.info/FrameIT/frameworld?cheaty?parallelCircles?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_top?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_top?type http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_top?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_top?type http://cds.omdoc.org/urtheories?Ded?DED?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_top?type http://mathhub.info/FrameIT/frameworld?cheaty?mk_truncated_circle_cone_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_top?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_top?type http://mathhub.info/FrameIT/frameworld?cheaty?truncated_circle_cone_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_top?type http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_top?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_top?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_top?type http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_top?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_top/Simplify +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_top/Simplify +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_top/Solve +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_truncated_cone_top/Solve +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_height +constant http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_height +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_height?type http://mathhub.info/FrameIT/frameworld?cheaty?truncated_circle_cone_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_height?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_height?definition http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_base?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_height?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_height?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_midpoint?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_height?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_height?definition http://mathhub.info/FrameIT/frameworld?cheaty?truncated_circle_cone_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_height?definition http://mathhub.info/FrameIT/frameworld?cheaty?distance_plane_point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_height?definition http://mathhub.info/MitM/core/geometry?Planes?plane?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_height?definition http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_top?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_height?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_height?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_volume +constant http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_volume +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_volume?type http://mathhub.info/FrameIT/frameworld?cheaty?truncated_circle_cone_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_volume?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_volume?definition http://mathhub.info/MitM/Foundation?Logic?ImplicitProof?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_volume?definition http://cds.omdoc.org/urtheories?NatSymbols?NAT?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_volume?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_pow?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_volume?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_volume?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_volume?definition http://mathhub.info/MitM/Foundation?Logic?neq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_volume?definition http://mathhub.info/MitM/Foundation?Logic?neq?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_volume?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?div?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_volume?definition http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_volume?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_volume?definition http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_base?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_volume?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_radius?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_volume?definition http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_height?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_volume?definition http://mathhub.info/MitM/Foundation?Trigonometry?pi_num?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_volume?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_volume?definition http://mathhub.info/FrameIT/frameworld?cheaty?truncated_circle_cone_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_volume?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_volume?definition http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_top?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_volume?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?truncated_cone_volume?definition http://mathhub.info/FrameIT/frameworld?cheaty?circle_type_3d?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?is_rectangle +constant http://mathhub.info/FrameIT/frameworld?cheaty?is_rectangle +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?is_rectangle?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?is_rectangle?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?is_rectangle?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?is_rectangle?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?is_rectangle?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?is_rectangle?definition http://mathhub.info/MitM/Foundation?Logic?and?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?is_rectangle?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?is_rectangle?definition http://mathhub.info/FrameIT/frameworld?cheaty?right_angle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?is_rectangle?definition http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_proof +constant http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_proof +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_proof?type http://mathhub.info/FrameIT/frameworld?cheaty?is_rectangle?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_proof?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_proof?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_proof?type http://mathhub.info/FrameIT/frameworld?cheaty?is_rectangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_proof?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_proof?type http://mathhub.info/FrameIT/frameworld?cheaty?right_angle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_proof?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_proof?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_proof?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one?type http://mathhub.info/MitM/core/geometry?Geometry/Common?lineOf?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one?type http://mathhub.info/FrameIT/frameworld?cheaty?is_rectangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one?type http://mathhub.info/MitM/core/geometry?Geometry/Common?parallelLine?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one?type http://mathhub.info/FrameIT/frameworld?cheaty?is_rectangle?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one?type http://mathhub.info/MitM/core/geometry?Geometry/Common?parallelLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one_adjusted +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one_adjusted +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one_adjusted?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one_adjusted?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one_adjusted?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one_adjusted?type http://mathhub.info/FrameIT/frameworld?cheaty?is_rectangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one_adjusted?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one_adjusted?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one_adjusted?type http://mathhub.info/MitM/core/geometry?Geometry/Common?parallelLine?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one_adjusted?type http://mathhub.info/FrameIT/frameworld?cheaty?is_rectangle?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one_adjusted?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one_adjusted?type http://mathhub.info/MitM/core/geometry?Geometry/Common?parallelLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one_adjusted?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_one_adjusted?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_AD_BC +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_AD_BC +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_AD_BC?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_AD_BC?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_AD_BC?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_AD_BC?type http://mathhub.info/FrameIT/frameworld?cheaty?is_rectangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_AD_BC?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_AD_BC?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_AD_BC?type http://mathhub.info/MitM/core/geometry?Geometry/Common?parallelLine?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_AD_BC?type http://mathhub.info/FrameIT/frameworld?cheaty?is_rectangle?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_AD_BC?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_AD_BC?type http://mathhub.info/MitM/core/geometry?Geometry/Common?parallelLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_AD_BC?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_rect_parallel_AD_BC?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_type +constant http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?mk_rectangle +constant http://mathhub.info/FrameIT/frameworld?cheaty?mk_rectangle +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?mk_rectangle?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?mk_rectangle?type http://mathhub.info/FrameIT/frameworld?cheaty?is_rectangle?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?mk_rectangle?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?mk_rectangle?type http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?mk_rectangle?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?mk_rectangle?type http://mathhub.info/FrameIT/frameworld?cheaty?is_rectangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?mk_rectangle?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?mk_rectangle?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?mk_rectangle?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?corner_A +constant http://mathhub.info/FrameIT/frameworld?cheaty?corner_A +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?corner_A?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?corner_A?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?corner_A?type http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_type?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?corner_B +constant http://mathhub.info/FrameIT/frameworld?cheaty?corner_B +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?corner_B?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?corner_B?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?corner_B?type http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_type?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?corner_C +constant http://mathhub.info/FrameIT/frameworld?cheaty?corner_C +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?corner_C?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?corner_C?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?corner_C?type http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_type?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?corner_D +constant http://mathhub.info/FrameIT/frameworld?cheaty?corner_D +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?corner_D?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?corner_D?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?corner_D?type http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_type?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?rect_side_AD +constant http://mathhub.info/FrameIT/frameworld?cheaty?rect_side_AD +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_side_AD?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_side_AD?type http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_type?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?rect_side_BC +constant http://mathhub.info/FrameIT/frameworld?cheaty?rect_side_BC +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_side_BC?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_side_BC?type http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_type?type +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_A +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_A +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_A?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_A?type http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_A?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_A?type http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_A?type http://mathhub.info/FrameIT/frameworld?cheaty?corner_A?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_A?type http://mathhub.info/FrameIT/frameworld?cheaty?is_rectangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_A?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_A?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_A?type http://mathhub.info/FrameIT/frameworld?cheaty?mk_rectangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_A?type http://cds.omdoc.org/urtheories?Ded?DED?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_A?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_A?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_A?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_A/Simplify +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_A/Simplify +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_A/Solve +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_A/Solve +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_B +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_B +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_B?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_B?type http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_B?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_B?type http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_B?type http://mathhub.info/FrameIT/frameworld?cheaty?is_rectangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_B?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_B?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_B?type http://mathhub.info/FrameIT/frameworld?cheaty?mk_rectangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_B?type http://cds.omdoc.org/urtheories?Ded?DED?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_B?type http://mathhub.info/FrameIT/frameworld?cheaty?corner_B?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_B?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_B?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_B?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_B/Simplify +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_B/Simplify +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_B/Solve +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_B/Solve +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_C +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_C +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_C?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_C?type http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_C?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_C?type http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_C?type http://mathhub.info/FrameIT/frameworld?cheaty?is_rectangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_C?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_C?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_C?type http://mathhub.info/FrameIT/frameworld?cheaty?mk_rectangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_C?type http://cds.omdoc.org/urtheories?Ded?DED?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_C?type http://mathhub.info/FrameIT/frameworld?cheaty?corner_C?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_C?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_C?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_C?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_C/Simplify +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_C/Simplify +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_C/Solve +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_C/Solve +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_D +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_D +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_D?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_D?type http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_D?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_D?type http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_D?type http://mathhub.info/FrameIT/frameworld?cheaty?is_rectangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_D?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_D?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_D?type http://mathhub.info/FrameIT/frameworld?cheaty?mk_rectangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_D?type http://cds.omdoc.org/urtheories?Ded?DED?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_D?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_D?type http://mathhub.info/FrameIT/frameworld?cheaty?corner_D?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_D?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_D?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_D/Simplify +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_D/Simplify +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_D/Solve +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_corner_D/Solve +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_AD +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_AD +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_AD?type http://mathhub.info/MitM/core/geometry?Geometry/Common?lineOf?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_AD?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_AD?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_AD?type http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_AD?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_AD?type http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_AD?type http://mathhub.info/FrameIT/frameworld?cheaty?is_rectangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_AD?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_AD?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_AD?type http://mathhub.info/FrameIT/frameworld?cheaty?mk_rectangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_AD?type http://cds.omdoc.org/urtheories?Ded?DED?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_AD?type http://mathhub.info/FrameIT/frameworld?cheaty?rect_side_AD?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_AD?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_AD?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_AD?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_AD/Simplify +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_AD/Simplify +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_BC +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_BC +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_BC?type http://mathhub.info/MitM/core/geometry?Geometry/Common?lineOf?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_BC?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_BC?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_BC?type http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_BC?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_BC?type http://cds.omdoc.org/urtheories?Bool?BOOL?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_BC?type http://mathhub.info/FrameIT/frameworld?cheaty?is_rectangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_BC?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_BC?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_BC?type http://mathhub.info/FrameIT/frameworld?cheaty?mk_rectangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_BC?type http://cds.omdoc.org/urtheories?Ded?DED?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_BC?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_BC?type http://mathhub.info/FrameIT/frameworld?cheaty?rect_side_BC?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_BC?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_BC?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_BC/Simplify +constant http://mathhub.info/FrameIT/frameworld?cheaty?axiom_side_BC/Simplify +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AB_CD +constant http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AB_CD +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AB_CD?type http://mathhub.info/MitM/core/geometry?Geometry/Common?lineOf?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AB_CD?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AB_CD?type http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AB_CD?type http://mathhub.info/FrameIT/frameworld?cheaty?corner_A?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AB_CD?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AB_CD?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AB_CD?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AB_CD?type http://mathhub.info/FrameIT/frameworld?cheaty?corner_C?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AB_CD?type http://mathhub.info/MitM/core/geometry?Geometry/Common?parallelLine?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AB_CD?type http://mathhub.info/FrameIT/frameworld?cheaty?corner_B?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AB_CD?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AB_CD?type http://mathhub.info/MitM/core/geometry?Geometry/Common?parallelLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AB_CD?type http://mathhub.info/FrameIT/frameworld?cheaty?corner_D?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AB_CD?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AB_CD?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AD_BC +constant http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AD_BC +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AD_BC?type http://mathhub.info/MitM/core/geometry?Geometry/Common?parallelLine?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AD_BC?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AD_BC?type http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AD_BC?type http://mathhub.info/FrameIT/frameworld?cheaty?rect_side_AD?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AD_BC?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AD_BC?type http://mathhub.info/MitM/core/geometry?Geometry/Common?parallelLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AD_BC?type http://mathhub.info/FrameIT/frameworld?cheaty?rect_side_BC?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AD_BC?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AD_BC?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_paralle_AD_BC?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?cheaty http://mathhub.info/FrameIT/frameworld?cheaty?rect_parall_AD_BC_proof2 +constant http://mathhub.info/FrameIT/frameworld?cheaty?rect_parall_AD_BC_proof2 +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_parall_AD_BC_proof2?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_parall_AD_BC_proof2?type http://mathhub.info/FrameIT/frameworld?cheaty?rectangle_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_parall_AD_BC_proof2?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_parall_AD_BC_proof2?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_parall_AD_BC_proof2?type http://mathhub.info/MitM/core/geometry?Geometry/Common?parallelLine?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_parall_AD_BC_proof2?type http://mathhub.info/FrameIT/frameworld?cheaty?rect_side_AD?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_parall_AD_BC_proof2?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_parall_AD_BC_proof2?type http://mathhub.info/MitM/core/geometry?Geometry/Common?parallelLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_parall_AD_BC_proof2?type http://mathhub.info/FrameIT/frameworld?cheaty?rect_side_BC?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_parall_AD_BC_proof2?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?cheaty?rect_parall_AD_BC_proof2?type http://mathhub.info/MitM/Foundation?Logic?prop?definition diff --git a/relational/http..mathhub.info/FrameIT/frameworld/der$View.rel b/relational/http..mathhub.info/FrameIT/frameworld/der$View.rel new file mode 100644 index 0000000000000000000000000000000000000000..33772c0086c6fc4fc5a3bc7544d84d2c7a511599 --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/der$View.rel @@ -0,0 +1,10 @@ +dataconstructor http://mathhub.info/FrameIT/frameworld?derView?[http://mathhub.info/FrameIT/frameworld?fromDomain]/A +view http://mathhub.info/FrameIT/frameworld?derView +HasDomain http://mathhub.info/FrameIT/frameworld?derView http://mathhub.info/FrameIT/frameworld?toDomain +HasCodomain http://mathhub.info/FrameIT/frameworld?derView http://mathhub.info/FrameIT/frameworld?toDomain +HasViewFrom http://mathhub.info/FrameIT/frameworld?toDomain http://mathhub.info/FrameIT/frameworld?toDomain +Includes http://mathhub.info/FrameIT/frameworld?derView http://mathhub.info/FrameIT/frameworld?FrameITBasics +Declares http://mathhub.info/FrameIT/frameworld?derView http://mathhub.info/FrameIT/frameworld?derView?[http://mathhub.info/FrameIT/frameworld?fromDomain]/A +constant http://mathhub.info/FrameIT/frameworld?derView?[http://mathhub.info/FrameIT/frameworld?fromDomain]/A +DependsOn http://mathhub.info/FrameIT/frameworld?derView?[http://mathhub.info/FrameIT/frameworld?fromDomain]/A?definition http://mathhub.info/FrameIT/frameworld?toDomain?B?type +DependsOn http://mathhub.info/FrameIT/frameworld?derView?[http://mathhub.info/FrameIT/frameworld?fromDomain]/A?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type diff --git a/relational/http..mathhub.info/FrameIT/frameworld/from$Domain.rel b/relational/http..mathhub.info/FrameIT/frameworld/from$Domain.rel new file mode 100644 index 0000000000000000000000000000000000000000..445d37d09db24e5379ee1c9d0507cf440e95063e --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/from$Domain.rel @@ -0,0 +1,13 @@ +dataconstructor http://mathhub.info/FrameIT/frameworld?fromDomain?A +dataconstructor http://mathhub.info/FrameIT/frameworld?fromDomain?Z +theory http://mathhub.info/FrameIT/frameworld?fromDomain +HasMeta http://mathhub.info/FrameIT/frameworld?fromDomain http://cds.omdoc.org/urtheories?LF +Includes http://mathhub.info/FrameIT/frameworld?fromDomain http://mathhub.info/FrameIT/frameworld?FrameITBasics +Declares http://mathhub.info/FrameIT/frameworld?fromDomain http://mathhub.info/FrameIT/frameworld?fromDomain?A +constant http://mathhub.info/FrameIT/frameworld?fromDomain?A +DependsOn http://mathhub.info/FrameIT/frameworld?fromDomain?A?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?fromDomain?A?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?fromDomain http://mathhub.info/FrameIT/frameworld?fromDomain?Z +constant http://mathhub.info/FrameIT/frameworld?fromDomain?Z +DependsOn http://mathhub.info/FrameIT/frameworld?fromDomain?Z?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?fromDomain?Z?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type diff --git a/relational/http..mathhub.info/FrameIT/frameworld/rectangle$Parallel$Proof.rel b/relational/http..mathhub.info/FrameIT/frameworld/rectangle$Parallel$Proof.rel new file mode 100644 index 0000000000000000000000000000000000000000..dfeca9def929957652286fd090ec4abdcc072e53 --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/rectangle$Parallel$Proof.rel @@ -0,0 +1,63 @@ +dataconstructor http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?is_rectangle +dataconstructor http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?rectangle_proof +dataconstructor http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one +dataconstructor http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one_adjusted +theory http://mathhub.info/FrameIT/frameworld?rectangleParallelProof +HasMeta http://mathhub.info/FrameIT/frameworld?rectangleParallelProof http://cds.omdoc.org/urtheories?LF +Includes http://mathhub.info/FrameIT/frameworld?rectangleParallelProof http://mathhub.info/MitM/Foundation?Logic +Includes http://mathhub.info/FrameIT/frameworld?rectangleParallelProof http://mathhub.info/MitM/core/arithmetics?RealArithmetics +Includes http://mathhub.info/FrameIT/frameworld?rectangleParallelProof http://mathhub.info/MitM/Foundation?Trigonometry +Includes http://mathhub.info/FrameIT/frameworld?rectangleParallelProof http://mathhub.info/MitM/core/geometry?3DGeometry +Declares http://mathhub.info/FrameIT/frameworld?rectangleParallelProof http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?is_rectangle +constant http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?is_rectangle +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?is_rectangle?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?is_rectangle?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?is_rectangle?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?is_rectangle?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?is_rectangle?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?is_rectangle?definition http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?is_rectangle?definition http://mathhub.info/MitM/Foundation?Logic?and?type +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?is_rectangle?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?angle_between?type +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?is_rectangle?definition http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?is_rectangle?definition http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?is_rectangle?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?rectangleParallelProof http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?rectangle_proof +constant http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?rectangle_proof +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?rectangle_proof?type http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?is_rectangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?rectangle_proof?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?rectangle_proof?type http://mathhub.info/MitM/Foundation?Logic?eq?type +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?rectangle_proof?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?rectangle_proof?type http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?is_rectangle?definition +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?rectangle_proof?type http://mathhub.info/MitM/core/geometry?Geometry/Common?angle_between?type +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?rectangle_proof?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?rectangle_proof?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?rectangle_proof?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?rectangle_proof?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +Declares http://mathhub.info/FrameIT/frameworld?rectangleParallelProof http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one +constant http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one?type http://mathhub.info/MitM/core/geometry?Geometry/Common?lineOf?type +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one?type http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?is_rectangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one?type http://mathhub.info/MitM/core/geometry?Geometry/Common?parallelLine?definition +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one?type http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?is_rectangle?definition +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one?type http://mathhub.info/MitM/core/geometry?Geometry/Common?parallelLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one?type http://mathhub.info/MitM/Foundation?Logic?prop?definition +Declares http://mathhub.info/FrameIT/frameworld?rectangleParallelProof http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one_adjusted +constant http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one_adjusted +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one_adjusted?type http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?is_rectangle?type +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one_adjusted?type http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one_adjusted?type http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type?type +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one_adjusted?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one_adjusted?type http://mathhub.info/MitM/Foundation?Logic?ded?type +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one_adjusted?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one_adjusted?type http://mathhub.info/MitM/core/geometry?Geometry/Common?parallelLine?definition +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one_adjusted?type http://mathhub.info/MitM/Foundation?Logic?ded?definition +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one_adjusted?type http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?is_rectangle?definition +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one_adjusted?type http://mathhub.info/MitM/core/geometry?Geometry/Common?parallelLine?type +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one_adjusted?type http://mathhub.info/MitM/Foundation?Logic?prop?type +DependsOn http://mathhub.info/FrameIT/frameworld?rectangleParallelProof?axiom_rect_parallel_one_adjusted?type http://mathhub.info/MitM/Foundation?Logic?prop?definition diff --git a/relational/http..mathhub.info/FrameIT/frameworld/test.rel b/relational/http..mathhub.info/FrameIT/frameworld/test.rel new file mode 100644 index 0000000000000000000000000000000000000000..275ef1e940b6ba9e7fb607826e094dad6e9e3326 --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/test.rel @@ -0,0 +1,18 @@ +theory http://mathhub.info/FrameIT/frameworld?test +HasMeta http://mathhub.info/FrameIT/frameworld?test http://mathhub.info/FrameIT/frameworld?FrameworldMeta 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http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?test1?xA?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type diff --git a/relational/http..mathhub.info/FrameIT/frameworld/test2.rel b/relational/http..mathhub.info/FrameIT/frameworld/test2.rel new file mode 100644 index 0000000000000000000000000000000000000000..1473107427ecd02788639733705522e91c6bcd1c --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/test2.rel @@ -0,0 +1,10 @@ +dataconstructor http://mathhub.info/FrameIT/frameworld?test2?xA +theory http://mathhub.info/FrameIT/frameworld?test2 +HasMeta http://mathhub.info/FrameIT/frameworld?test2 http://cds.omdoc.org/urtheories?LF +Includes http://mathhub.info/FrameIT/frameworld?test2 http://mathhub.info/FrameIT/frameworld?test1 +Declares http://mathhub.info/FrameIT/frameworld?test2 http://mathhub.info/FrameIT/frameworld?test2?xA +constant http://mathhub.info/FrameIT/frameworld?test2?xA +DependsOn http://mathhub.info/FrameIT/frameworld?test2?xA?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?test2?xA?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +DependsOn http://mathhub.info/FrameIT/frameworld?test2?xA?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?test2?xA?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type diff --git a/relational/http..mathhub.info/FrameIT/frameworld/to$Domain.rel b/relational/http..mathhub.info/FrameIT/frameworld/to$Domain.rel new file mode 100644 index 0000000000000000000000000000000000000000..8748b040ea4d26e870eaba8d69dcf390f5de5798 --- /dev/null +++ b/relational/http..mathhub.info/FrameIT/frameworld/to$Domain.rel @@ -0,0 +1,13 @@ +dataconstructor http://mathhub.info/FrameIT/frameworld?toDomain?B +dataconstructor http://mathhub.info/FrameIT/frameworld?toDomain?C +theory http://mathhub.info/FrameIT/frameworld?toDomain +HasMeta http://mathhub.info/FrameIT/frameworld?toDomain http://cds.omdoc.org/urtheories?LF +Includes http://mathhub.info/FrameIT/frameworld?toDomain http://mathhub.info/FrameIT/frameworld?FrameITBasics +Declares http://mathhub.info/FrameIT/frameworld?toDomain http://mathhub.info/FrameIT/frameworld?toDomain?B +constant http://mathhub.info/FrameIT/frameworld?toDomain?B +DependsOn http://mathhub.info/FrameIT/frameworld?toDomain?B?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?toDomain?B?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type +Declares http://mathhub.info/FrameIT/frameworld?toDomain http://mathhub.info/FrameIT/frameworld?toDomain?C +constant http://mathhub.info/FrameIT/frameworld?toDomain?C +DependsOn http://mathhub.info/FrameIT/frameworld?toDomain?C?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition +DependsOn http://mathhub.info/FrameIT/frameworld?toDomain?C?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type diff --git a/source/.idea/.gitignore b/source/.idea/.gitignore new file mode 100644 index 0000000000000000000000000000000000000000..26d33521af10bcc7fd8cea344038eaaeb78d0ef5 --- /dev/null +++ b/source/.idea/.gitignore @@ -0,0 +1,3 @@ +# Default ignored files +/shelf/ +/workspace.xml diff --git a/source/.idea/codeStyles/codeStyleConfig.xml b/source/.idea/codeStyles/codeStyleConfig.xml new file mode 100644 index 0000000000000000000000000000000000000000..a55e7a179bde3e4e772c29c0c85e53354aa54618 --- /dev/null +++ b/source/.idea/codeStyles/codeStyleConfig.xml @@ -0,0 +1,5 @@ +<component name="ProjectCodeStyleConfiguration"> + <state> + <option name="PREFERRED_PROJECT_CODE_STYLE" value="Default" /> + </state> +</component> \ No newline at end of file diff --git a/source/.idea/misc.xml b/source/.idea/misc.xml new file mode 100644 index 0000000000000000000000000000000000000000..639900d13c6182e452e33a3bd638e70a0146c785 --- /dev/null +++ b/source/.idea/misc.xml @@ -0,0 +1,6 @@ +<?xml version="1.0" encoding="UTF-8"?> +<project version="4"> + <component name="ProjectRootManager"> + <output url="file://$PROJECT_DIR$/out" /> + </component> +</project> \ No newline at end of file diff --git a/source/.idea/modules.xml b/source/.idea/modules.xml new file mode 100644 index 0000000000000000000000000000000000000000..66f3350852f70fbfb98aa5e634317f8bf4b7bfaf --- /dev/null +++ b/source/.idea/modules.xml @@ -0,0 +1,8 @@ +<?xml version="1.0" encoding="UTF-8"?> +<project version="4"> + <component name="ProjectModuleManager"> + <modules> + <module fileurl="file://$PROJECT_DIR$/.idea/source.iml" filepath="$PROJECT_DIR$/.idea/source.iml" /> + </modules> + </component> +</project> \ No newline at end of file diff --git a/source/.idea/runConfigurations.xml b/source/.idea/runConfigurations.xml new file mode 100644 index 0000000000000000000000000000000000000000..797acea53eb091cf5b30518802c3073f544adeed --- /dev/null +++ b/source/.idea/runConfigurations.xml @@ -0,0 +1,10 @@ +<?xml version="1.0" encoding="UTF-8"?> +<project version="4"> + <component name="RunConfigurationProducerService"> + <option name="ignoredProducers"> + <set> + <option value="com.android.tools.idea.compose.preview.runconfiguration.ComposePreviewRunConfigurationProducer" /> + </set> + </option> + </component> +</project> \ No newline at end of file diff --git a/source/.idea/source.iml b/source/.idea/source.iml new file mode 100644 index 0000000000000000000000000000000000000000..d6ebd4805981b8400db3e3291c74a743fef9a824 --- /dev/null +++ b/source/.idea/source.iml @@ -0,0 +1,9 @@ +<?xml version="1.0" encoding="UTF-8"?> +<module type="JAVA_MODULE" version="4"> + <component name="NewModuleRootManager" inherit-compiler-output="true"> + <exclude-output /> + <content url="file://$MODULE_DIR$" /> + <orderEntry type="inheritedJdk" /> + <orderEntry type="sourceFolder" forTests="false" /> + </component> +</module> \ No newline at end of file diff --git a/source/.idea/vcs.xml b/source/.idea/vcs.xml new file mode 100644 index 0000000000000000000000000000000000000000..6c0b8635858dc7ad44b93df54b762707ce49eefc --- /dev/null +++ b/source/.idea/vcs.xml @@ -0,0 +1,6 @@ +<?xml version="1.0" encoding="UTF-8"?> +<project version="4"> + <component name="VcsDirectoryMappings"> + <mapping directory="$PROJECT_DIR$/.." vcs="Git" /> + </component> +</project> \ No newline at end of file diff --git a/source/DefaultSituationSpace.mmt b/source/DefaultSituationSpace.mmt index 53a79d8f364e475d5f32e82f0cc3f6139da79eca..c0dea9cf915f6e21b5860ce1c2465a55b8eee69f 100644 --- a/source/DefaultSituationSpace.mmt +++ b/source/DefaultSituationSpace.mmt @@ -9,17 +9,20 @@ theory DefaultSituationSpace = include ?AngleSum â™ // include ?ParallelLines â™ // include ?InterceptTheorem â™ - // include ?Pythagorasâ™ + include ?Pythagorasâ™ include ?CylinderVolumeScrollâ™ - include ?PlaneAngleToAngleScrollâ™ + include ?CircleLineAngleToAngleScrollâ™ + include ?testâ™ + include ?test2â™ include ?Midpoint â™ include ?CircleScroll â™ include ?SinOppositeLeg â™ - include ?PlaneLineAngleScroll â™ + include ?CircleLineAngleScroll â™ include ?CircleAreaScroll â™ include ?ConeVolumeScroll â™ include ?TruncatedConeVolumeScroll â™ + // include ?EqualCircleAreaScroll â™ âš diff --git a/source/MetaTheories.mmt b/source/MetaTheories.mmt index 4d2c522119aae85c7998f5b8c7ced67dcfa1ac25..bb7cfcf4c0b4ce3fc8aca894e8a4a89ace82caa7 100644 --- a/source/MetaTheories.mmt +++ b/source/MetaTheories.mmt @@ -22,7 +22,25 @@ theory MetaAnnotations = âš - theory 2DPoints = +theory test1 : ur:?LF = + include ?FrameITBasics â™ + + xA : point ☠= ⟨0.5, 0.5, 0.5⟩ â™ + +âš + +theory test2 : ur:?LF = + include ?test1 â™ + + xA : point ☠= ⟨5.5, 5.5, 5.5⟩ â™ + + + +âš + + + +theory 2DPoints = include ?FrameITBasics â™ // simple 2d Point theory. â™ @@ -55,7 +73,8 @@ theory FrameITBasics = // a lot of Simplify roles, so the scrolls get simplified accordingly â™ // com_dist : {p1: point,p2: point} ⊦ ( d- p1 p2 ) ≠( d- p2 p1 ) ☠role Simplify â™ - + axiomrealNumbersNeutralLeft : {x: â„ } ⊦ 1.0 â‹… x ≠x ☠role Simplify â™ + axiomrealNumbersNeutralRight : {x: â„ } ⊦ x â‹… 1.0 ≠x ☠role Simplify â™ axiomBasepoint2 : {p1,p2} ⊦ from (from p1 to p2) ≠p1 ☠role Simplify â™ axiomTargetpoint2 : {p1,p2} ⊦ to (from p1 to p2) ≠p2 ☠role Simplify â™ @@ -206,7 +225,25 @@ theory FrameITCircle = include ?FrameITBasics â™ - circleType3D : type ☠# circle â™ + circleType3D : type ☠# circle â™ + xcircleType3D : type ☠# xcircle ☠= plane × point × â„ â™ + + + + + + + xcircleMidPoint: xcircle ⟶ point ☠# xmid 1 ☠= [c] Ï€l (Ï€r c) â™ + + + + + + + + + + // circle constructor taking a plane ( the circle lies in ) a point (middle) and a real number (radius) â™ circle3D : plane ⟶ point ⟶ ℠⟶ circle ☠# mkCirc3D 1 2 3 â™ @@ -235,6 +272,29 @@ theory FrameITCircle = proofParallelCircles : {c1: circle, c2:circle, ab: line, p1: ⊦ orthogCL c1 ab , p2: ⊦ orthogCL c2 ab } ⊦ paraCirc c1 c2 ☠# axParaCirc 1 2 3 4 5 â™ + equalityCircles: circle ⟶ circle ⟶ bool ☠# equalCirc 1 2 â™ + unequalityCircles : circle ⟶ circle ⟶ bool ☠# unequalCirc 1 2 â™ + + // this should be literally illegal to do, but there is no other way to implement it because there is a certain axiom that is literally handing out proofs for everything. + It will even proof you that 1==2. Don't ever use this unless you are 100% certain what you are doing â™ + + // assignAreaValueProof: {c1: circle, erg: â„ } ⊦ areaCirc c1 ≠erg ☠# convA 1 2 â™ + // proofEqualCircles : { c1: circle, c2: circle, erg: â„, proof1: ( ⊦ areaCirc c1 ≠erg) , proof2: ( ⊦ areaCirc c2 ≠erg ) } ⊦ equalCirc c1 c2 ☠# axEqualCirc 1 2 3 4 5 â™ + // doIt : {c1: circle, c2: circle, areaBase : ( Σ x:â„ . ⊦ areaCirc c1 ≠x ) , areaTop : ( Σ x:â„ . ⊦ areaCirc c2 ≠x ) } ⊦ equalCirc c1 c2 ☠+ = [c1,c2,areaTop,areaBase] axEqualCirc c1 c2 (Ï€l areaBase) (convA c1 (Ï€l areaBase) ) (convA c2 (Ï€l areaTop) ) ☠# doz 1 2 3 4 â™ + + + // proofEqualCircles : {c1: circle, c2: circle, proof: ⊦ ( areaCirc c1 ) ≠( areaCirc c2 ) } ⊦ equalCirc c1 c2 ☠# axEqualCirc 1 2 %I3 â™ + + + helperXyZ : point ⟶ point ⟶ ℠☠= [a,b] | a -- b | ☠# helpxyz 1 2 â™ + + pointsToCircleChecker : { M : point, A : point, B : point, MAsum: â„, MBsum: â„, ABsum: â„ , p1 : ⊦ ( MAsum ≠0 ) , p2 : ⊦ ( MBsum ≠0 ) , p3 : ⊦ ( ABsum ≠0 ) } circle ☠= [A,B,C,p1,p2,p3,p4,p5,p6] mkCirc3D ( pToPlane M A B ) M (d- M A) ☠# pointsToCCheck 1 2 3 4 5 6 %I7 %I8 %I9 â™ + pointsToCircleCheckerTest : { M : point, A : point, B : point, MAsum: â„, MBsum: â„, ABsum: â„ , p1 : ⊦ ( MAsum ≠0.0 ), p2 : ⊦ ( MBsum ≠0.0 ) , p3 : ⊦ ( ABsum ≠0.0 ) } circle ☠= [M,A,B,p4,p5,p6,p7,p8,p9] mkCirc3D ( pToPlane M A B ) M (d- M A) ☠# pointsToCChecktest 1 2 3 4 5 6 %I7 %I8 %I9 â™ + + pointsToCircleWrapper : point ⟶ point ⟶ point ⟶ circle ☠= [M,A,B] pointsToCChecktest M A B (helpxyz M A) ( helpxyz M B ) ( helpxyz A B ) ☠# pointsToC 1 2 3 â™ + // pointsToCircleWrapper : point ⟶ point ⟶ point ⟶ circle ☠= [M,A,B] pointsToCChecktest M A B 1.0 1.0 1.0 ☠# pointsToC 1 2 3 â™ + âš @@ -268,13 +328,13 @@ theory FrameITCone = truncatedConeType : type ☠# tcone â™ - mkTruncatedCone : {c1: circle, c2: circle} ( ⊦ paraCirc c1 c2 ) ⟶ tcone ☠# mkTcone 1 2 3 â™ + mkTruncatedCone : {c1: circle, c2: circle, proofUnEqual: ( ⊦ unequalCirc c1 c2) } ( ⊦ paraCirc c1 c2 ) ⟶ tcone ☠# mkTcone 1 2 3 4 â™ truncatedConeBase : tcone ⟶ circle ☠# tconeBase 1 â™ truncatedConeTop : tcone ⟶ circle ☠# tconeTop 1 â™ - axiomTruncatedConeBase : {c1, c2, p} ⊦ tconeBase ( mkTcone c1 c2 p) ≠c1 ☠role Simplify â™ - axiomTruncatedConeTop : {c1, c2, p} ⊦ tconeTop ( mkTcone c1 c2 p) ≠c2 ☠role Simplify â™ + axiomTruncatedConeBase : {c1, c2,p1, p2} ⊦ tconeBase ( mkTcone c1 c2 p1 p2) ≠c1 ☠role Simplify â™ + axiomTruncatedConeTop : {c1, c2,p1, p2} ⊦ tconeTop ( mkTcone c1 c2 p1 p2) ≠c2 ☠role Simplify â™ // truncated_cone_height : tcone ⟶ ℠☠= [tc] d- ( mid ( tcone_base tc ) ) ( mid ( tcone_top tc ) ) ☠# tcone_height 1 â™ @@ -301,12 +361,12 @@ theory FrameITCylinder = cylinderType : type ☠# cyl â™ - mkCylinder : {c1: circle, c2: circle} ( ⊦ paraCirc c1 c2 ) ⟶ cyl ☠# mkCyl 1 2 3 â™ + mkCylinder : {c1: circle, c2: circle, proofEqual: ( ⊦ equalCirc c1 c2) } ( ⊦ paraCirc c1 c2 ) ⟶ cyl ☠# mkCyl 1 2 3 4 â™ cylinderBase : cyl ⟶ circle ☠# cylBase 1 â™ cylinderTop : cyl ⟶ circle ☠# cylTop 1 â™ - axCylBase : {c1, c2, p} ⊦ cylBase ( mkCyl c1 c2 p) ≠c1 ☠role Simplify â™ - axCylTop : {c1, c2, p} ⊦ cylTop ( mkCyl c1 c2 p) ≠c2 ☠role Simplify â™ + axCylBase : {c1, c2, p1, p2} ⊦ cylBase ( mkCyl c1 c2 p1 p2) ≠c1 ☠role Simplify â™ + axCylTop : {c1, c2, p1, p2} ⊦ cylTop ( mkCyl c1 c2 p1 p2) ≠c2 ☠role Simplify â™ cylinderArea : cyl ⟶ ℠☠= [c] areaCirc ( cylBase c) ☠# cylArea 1 prec 1 â™ cylinderHeight : cyl ⟶ ℠☠= [c] d- ( mid ( cylBase c) ) ( mid ( cylTop c) ) ☠# cylHeight 1 prec 1 â™ @@ -326,6 +386,8 @@ theory FrameITTheories = include ?FrameITCylinder â™ + + // randomCircle : circle ☠# circulus â™ // intersection_two_lines_test : line ⟶ line ⟶ ℠☠= [l,h] ( cramer_rule_intersection ( ( from l ) p-p (from h) ) ( direction_l l ) ( direction_l h ) ) ☠# intersect_two_lines_actual_point_test 1 2 â™ // wrap_intersection_test : line ⟶ line ⟶ point ☠= [l,h] ( ( cramer_rule_intersection ( ( from l ) p-p ( from h ) ) ( direction_l l ) ( direction_l h ) ) rdotp ( direction_l l ) ) ☠# intersect_two_lines_wrap 1 2 â™ // wrap_intersection_test2 : line ⟶ line ⟶ ℠☠= [l,h] ( cramer_rule_intersection ( ( from l ) p-p ( from h ) ) ( direction_l l ) ( direction_l h ) ) ☠# intersect_two_lines_wrap2 1 2 â™ @@ -359,7 +421,7 @@ theory FrameITTheories = makeCircleOf3EdgePoints : point ⟶ point ⟶ point ⟶ circle ☠= [p1,p2,p3 ] mkCirc3D ( Ppara p1 (p2 p-p p1) ( p3 p-p p1) ) ( midTriangle3D ( Δ p1 p2 p3 ) ) ( d- ( midTriangle3D ( Δ p1 p2 p3 ) ) p1 ) ☠# mkCirc3P3D 1 2 3 â™ - + TestBrokenA : ℠☠= 1.0 + 1 ☠# TestBroken â™ âš @@ -372,6 +434,7 @@ theory FrameITTheories = theory FrameworldMeta = include ?MetaAnnotations â™ include ?FrameITTheories â™ + // include ☞http://mathhub.info/MitM/core/arithmetics?RealArithmetics â™ @@ -380,6 +443,7 @@ theory FrameworldMeta = // include ☞http://mathhub.info/MitM/Foundation?Strings â™ include ☞http://mathhub.info/MitM/Foundation?Math â™ + // include ☞http://mathhub.info/MitM/core/geometry?3DGeometry â™ // include ☞http://mathhub.info/MitM/core/geometry?Planes â™ diff --git a/source/Scrolls/CircleScroll.mmt b/source/Scrolls/CircleScroll.mmt new file mode 100644 index 0000000000000000000000000000000000000000..92fa350657d0f56c3b78abd95684e2a25a57a99d --- /dev/null +++ b/source/Scrolls/CircleScroll.mmt @@ -0,0 +1,224 @@ +namespace http://mathhub.info/FrameIT/frameworld âš + +fixmeta ?FrameworldMeta âš + + +/T + + +âš + + + +theory CircleScroll = + meta ?MetaAnnotations?problemTheory ?CircleScroll/Problem â™ + meta ?MetaAnnotations?solutionTheory ?CircleScroll/Solution â™ + + theory Problem = + M : point ☠meta ?MetaAnnotations?label "M" â™ + A : point ☠meta ?MetaAnnotations?label "A" â™ + B : point ☠meta ?MetaAnnotations?label "B" â™ + + + + + âš + + theory Solution = + include ?CircleScroll/Problem â™ + + // TODO: in the calculation a proof of interception should be used. But so far isnt. â™ + // deduceM : point ☠+ = intersect_two_lines_actual_point ( bisec_tri_BC_3d ( Δ A B C ) ) ( bisec_tri_AB_3d ( Δ A B C ) ) ☠+ meta ?MetaAnnotations?label "M" ☠+ meta ?MetaAnnotations?description "Middle of the circle" + â™ + + + // deduceR : Σ x:â„ . ⊦ ( d- deduceM A) ≠x ☠+ = ⟨ ( d- deduceM A) , sketch "deduce Radius"⟩ ☠+ + meta ?MetaAnnotations?label "R" ☠+ meta ?MetaAnnotations?description "radius of C" + â™ + + + // = mkCirc3D ( pToPlane M A B ) M (d- M A) â™ + + deduceC + : circle ☠+ = ( pointsToC M A B ) ☠+ meta ?MetaAnnotations?label s"â—‹${lverb M}" ☠+ meta ?MetaAnnotations?description "Circle" + â™ + + deduceR : Σ x:â„ . ⊦ ( circleRadius deduceC) ≠x ☠+ = ⟨ d- M A , sketch "deduce Radius"⟩ ☠+ meta ?MetaAnnotations?label s"r${lverb deduceC}" ☠+ meta ?MetaAnnotations?description "radius of C" + â™ + + deduceR2 : Σ x:â„ . ⊦ ( d- A M ) ≠x ☠+ = ⟨ d- A M , sketch "deduce Radius2"⟩ ☠+ meta ?MetaAnnotations?label s"${lverb A M}" ☠+ meta ?MetaAnnotations?description "radius of C" + â™ + + + midOnCircle : ⊦ M VonC deduceC ☠+ = midOnC deduceC M ☠+ meta ?MetaAnnotations?label s"${lverb M}∈${lverb deduceC}" ☠+ meta ?MetaAnnotations?description "proof of M being on the circle" + â™ + + + edgeOnCircle : ⊦ A VonC deduceC ☠+ meta ?MetaAnnotations?label s"${lverb A}∈${lverb deduceC}" ☠+ meta ?MetaAnnotations?description "proof of A being on the circle" + â™ + + + + + + // deduceE : plane ☠+ + = Ppara A B C ☠+ meta ?MetaAnnotations?label s"PlaceHolder${lverb Azzz }" ☠+ meta ?MetaAnnotations?description s"Deduce a circle from 3 points on its edge " + â™ + + + + // deduceCircle a + : Σ x:â„ . ⊦ ( circ_circ (mid M edge E) ) ≠x ☠+ = ⟨((Ï€l distanceME) + (Ï€l distanceME)) â‹… pi_num , sketch "CircleCircumference Scroll"⟩ ☠+ meta ?MetaAnnotations?label s"PlaceHolder${lverb M E}" ☠+ meta ?MetaAnnotations?description s"xThe deduced circumference of the circle " + â™ + + // the description verbalizes CircleCircumference, hence must come after its declaration â™ + meta ?MetaAnnotations?label "CircleScroll" â™ + meta ?MetaAnnotations?description s"Calculating a circle defined by the middle ${lverb M}, an edge point ${lverb A} and a point on the circle plane ${lverb B}. " â™ + âš +âš + + + + + + + theory CircleAreaScroll = + meta ?MetaAnnotations?problemTheory ?CircleAreaScroll/Problem â™ + meta ?MetaAnnotations?solutionTheory ?CircleAreaScroll/Solution â™ + + theory Problem = + cir : circle ☠meta ?MetaAnnotations?label "â—‹C" â™ + + radiusC : Σ x:â„ . ⊦ radius cir ≠x ☠+ meta ?MetaAnnotations?label "r" ☠+ meta ?MetaAnnotations?description s"Radius of the circle ${lverb cir}" + â™ + + âš + + theory Solution = + include ?CircleAreaScroll/Problem â™ + deduceArea + : Σ x:â„ . ⊦ areaCirc cir ≠x ☠+ = ⟨ ( (Ï€l radiusC) â‹… ( Ï€l radiusC) ) â‹… pi_num , sketch "CircleArea Scroll"⟩ ☠+ meta ?MetaAnnotations?label s"A(${lverb cir})" ☠+ meta ?MetaAnnotations?description s"The area of the circle ${lverb cir}" + â™ + + meta ?MetaAnnotations?label "CircleAreaScroll" â™ + meta ?MetaAnnotations?description s" This scroll is calculating the area of the circle ${lverb cir} via the formula A = ${lverb radiusC}â‹… ${lverb radiusC}â‹… pi" â™ + âš + âš + + + + + + theory test = + meta ?MetaAnnotations?problemTheory ?test/Problem â™ + meta ?MetaAnnotations?solutionTheory ?test/Solution â™ + + + theory Problem = + + K : point ☠meta ?MetaAnnotations?label "C" â™ + + + + âš + + theory Solution = + include ?test/Problem â™ + + + + test : ℠☠+ = TestBroken ☠+ meta ?MetaAnnotations?label s"BIG FAN" ☠+ meta ?MetaAnnotations?description s"length " + + â™ + + + meta ?MetaAnnotations?label "testscroll" â™ + meta ?MetaAnnotations?description s" Example Scroll for testing" â™ + âš + âš + +theory test2 = + meta ?MetaAnnotations?problemTheory ?test2/Problem â™ + meta ?MetaAnnotations?solutionTheory ?test2/Solution â™ + + + theory Problem = + + M : point ☠meta ?MetaAnnotations?label "M" â™ + + + âš + + theory Solution = + include ?test2/Problem â™ + + + + deduceThis : ℠☠+ = 1.0 + 1.0 ☠+ meta ?MetaAnnotations?label s"r" ☠+ meta ?MetaAnnotations?description s"Radius " + â™ + + + meta ?MetaAnnotations?label "testscroll2" â™ + meta ?MetaAnnotations?description s" calculates the radius of a given circle" â™ + âš + âš + + + + + + + + + + + + + + + + + + + + + + + diff --git a/source/Scrolls/ConeVolumeScroll.mmt b/source/Scrolls/ConeVolumeScroll.mmt new file mode 100644 index 0000000000000000000000000000000000000000..de50f2c211b661c78a36082454c9837cf24f24d2 --- /dev/null +++ b/source/Scrolls/ConeVolumeScroll.mmt @@ -0,0 +1,257 @@ +namespace http://mathhub.info/FrameIT/frameworld âš + +fixmeta ?FrameworldMeta âš + + +/T + +// This scrolls calculates the Volume of a cone with a circle as base. â™ +âš + +theory ConeProblem = + + // Define the cone â™ + S : point ☠meta ?MetaAnnotations?label "S" â™ + M : point ☠meta ?MetaAnnotations?label "M" â™ + + + // mkCirc3D Ebene Mitte Radius â™ + base : circle ☠meta ?MetaAnnotations?label "â—‹C" â™ + H : line ☠meta ?MetaAnnotations?label s"${lverb S M}" â™ + + + // Define height and base for calculations â™ + + height : Σ x : â„ . ⊦ d- M S ≠x ☠+ meta ?MetaAnnotations?label s"[${lverb M S}]" ☠+ meta ?MetaAnnotations?description s"length of the height ${lverb H}" + + â™ + +// â—â™ + areaBase : Σ x:â„ . ⊦ areaCirc base ≠x ☠+ meta ?MetaAnnotations?label s"A(${lverb base})" ☠+ meta ?MetaAnnotations?description s"Area of base ${lverb C}" + + â™ + + + // Making sure the angle between base and height is fine. + This also enforces, that plane and height do intersect â™ + + orthoBaseH : ⊦ orthogCL base H ☠+ meta ?MetaAnnotations?label s" ${lverb base}⊥${lverb H}" â™ + // Apex point is on the height_line â™ + + + S_on_H : ⊦ S on H ☠meta ?MetaAnnotations?label s"${lverb S}∈${lverb H}"â™ + + I_on_H : ⊦ M on H ☠meta ?MetaAnnotations?label s"${lverb M}∈${lverb H}"â™ + I_on_C : ⊦ M VonC base ☠meta ?MetaAnnotations?label s"${lverb M}∈${lverb base}"â™ + +âš + + + +theory ConeVolumeScroll = + meta ?MetaAnnotations?problemTheory ?ConeVolumeScroll/Problem â™ + meta ?MetaAnnotations?solutionTheory ?ConeVolumeScroll/Solution â™ + + theory Problem = + include ?ConeProblem â™ + âš + + theory Solution = + include ?ConeVolumeScroll/Problem â™ + deduceVolume + : Σ x : â„ . ⊦ ( volCone ( planeC base apex S ) ) ≠x ☠+ = ⟨ doDiv ( ( Ï€l areaBase ) â‹… ( Ï€l height ) ) 3.0 , sketch "ConeVolume Scroll" ⟩ ☠+ meta ?MetaAnnotations?label s"V ${lverb base} " ☠+ meta ?MetaAnnotations?description s"The Volume of the cone" + â™ + + + meta ?MetaAnnotations?label "ConeVolumeScroll" â™ + meta ?MetaAnnotations?description s"This scroll caclculates the volume of a cone with apex ${lverb S} and base ${lverb base} with area ${lverb areaBase} and the height ${lverb height}. + The formula is V = ${lverb height} â‹… ${lverb areaBase} / 3 . " â™ + âš +âš + + +theory TruncatedConeProblem = + include ?ConeProblem â™ + + top : circle ☠meta ?MetaAnnotations?label "â—‹c" â™ + + areaTop : Σ x:â„ . ⊦ areaCirc top ≠x ☠+ meta ?MetaAnnotations?label s"A(${lverb top})" ☠+ meta ?MetaAnnotations?description s"Area of base ${lverb top}" + + â™ + + orthoTopH : ⊦ orthogCL top H ☠meta ?MetaAnnotations?label s" ${lverb top}⊥${lverb H}" â™ + + S_on_Top : ⊦ S VonC top ☠meta ?MetaAnnotations?label s"${lverb S}∈${lverb top}"â™ + + âš + + + + + + theory TruncatedConeVolumeScroll = + meta ?MetaAnnotations?problemTheory ?TruncatedConeVolumeScroll/Problem â™ + meta ?MetaAnnotations?solutionTheory ?TruncatedConeVolumeScroll/Solution â™ + + theory Problem = + include ?TruncatedConeProblem â™ + proofOfUnEqualSize : ⊦ unequalCirc base top ☠+ meta ?MetaAnnotations?label s"${lverb base}≠${lverb top}" ☠+ meta ?MetaAnnotations?description s"Proof of unequally sized Areas" + + â™ + + âš + + theory Solution = + include ?TruncatedConeVolumeScroll/Problem â™ + + // = ⟨ doDiv ( ( ( real_pow ( radius ( circle1 ) ) 2.0 ) + ( ( radius ( circle1 ) ) â‹… ( radius ( circle2 ) ) ) + ( real_pow ( radius ( circle2 ) ) 2.0 ) ) â‹… ( Ï€l height )â‹… pi_num ) 3.0 , sketch "TruncatedConeVolume Scroll" ⟩ â˜â™ + + deduceVolume + : Σ x : â„ . ⊦ ( tconeVol ( mkTcone base top proofOfUnEqualSize ( axParaCirc base top H orthoBaseH orthoTopH ) ) ) ≠x ☠+ = ⟨ doDiv ( ( ( Ï€l areaBase ) + ( doRoot ( ( Ï€l areaBase ) â‹… ( Ï€l areaTop ) ) ) + ( Ï€l areaTop ) ) â‹… ( Ï€l height ) ) 3.0 , sketch "TruncatedConeVolume Scroll" ⟩ ☠+ meta ?MetaAnnotations?label s"V:${lverb base top} " ☠+ meta ?MetaAnnotations?description s"The Volume of the truncated cone" + â™ + + + + meta ?MetaAnnotations?label "TruncatedConeVolumeScroll" â™ + meta ?MetaAnnotations?description s"This scroll caclculates the volume of a truncated cone with top ${lverb top}, base ${lverb base} and height ${lverb height}. The formula is: + V = ${lverb height} â‹… ( ${lverb areaBase} + √(${lverb areaTop} â‹… ${lverb areaBase} ) + ${lverb areaTop}) / 3 . " â™ + + âš + âš + + + +theory CylinderVolumeScroll = + meta ?MetaAnnotations?problemTheory ?CylinderVolumeScroll/Problem â™ + meta ?MetaAnnotations?solutionTheory ?CylinderVolumeScroll/Solution â™ + + theory Problem = + include ?TruncatedConeProblem â™ + + + proofOfEqualSize : ⊦ equalCirc base top ☠+ meta ?MetaAnnotations?label s"${lverb base}=${lverb top}" ☠+ meta ?MetaAnnotations?description s"Proof of equally sized Areas" + + â™ + + + + âš + + theory Solution = + include ?CylinderVolumeScroll/Problem â™ + // deduceCylinder + : cyl ☠+ = mkCyl circle1 circle2 ( axParaCirc circle1 circle2 heightLine orthHeiBase orthHeiTop ) ☠+ meta ?MetaAnnotations?label s"Z:${lverb circle1 circle2} " ☠+ meta ?MetaAnnotations?description s"Cylinder" + â™ + + + + deduceVolume + : Σ x : â„ . ⊦ ( cylVol ( mkCyl base top proofOfEqualSize ( axParaCirc base top H orthoBaseH orthoTopH ) ) ) ≠x ☠+ = ⟨ ( Ï€l height ) â‹… ( Ï€l areaBase ) , sketch "CylinderVolume Scroll" ⟩ ☠+ meta ?MetaAnnotations?label s"V:${lverb base top} " ☠+ meta ?MetaAnnotations?description s"The Volume of the Cylinder" + â™ + + meta ?MetaAnnotations?label "CylinderVolumeScroll" â™ + meta ?MetaAnnotations?description s"This scroll caclculates the volume of a cylinder with top ${lverb top}, base ${lverb base}, height ${lverb height} and intersection points ${lverb M} and ${lverb S}. The formula is V = ${lverb height} â‹… ${lverb areaBase} . " â™ + + âš +âš + + + + + + + +// theory EqualCircleAreaScroll = + meta ?MetaAnnotations?problemTheory ?EqualCircleAreaScroll/Problem â™ + meta ?MetaAnnotations?solutionTheory ?EqualCircleAreaScroll/Solution â™ + + theory Problem = + + + + circle1 : circle ☠meta ?MetaAnnotations?label "â—‹C" â™ + circle2 : circle ☠meta ?MetaAnnotations?label "â—‹c" â™ + + + areaBase : Σ x:â„ . ⊦ areaCirc circle1 ≠x ☠+ meta ?MetaAnnotations?label s"A1" ☠+ meta ?MetaAnnotations?description s"Area of base ${lverb circle1}" + + â™ + areaTop : Σ x:â„ . ⊦ areaCirc circle2 ≠x ☠+ meta ?MetaAnnotations?label s"A2" ☠+ meta ?MetaAnnotations?description s"Area of base ${lverb circle2}" + + â™ + + + + âš + +// theory Solution = + include ?EqualCircleAreaScroll/Problem â™ + // deduceCylinder + : cyl ☠+ = mkCyl circle1 circle2 ( axParaCirc circle1 circle2 heightLine orthHeiBase orthHeiTop ) ☠+ meta ?MetaAnnotations?label s"Z:${lverb circle1 circle2} " ☠+ meta ?MetaAnnotations?description s"Cylinder" + â™ + +// = axEqualCirc circle1 circle2 (Ï€l areaBase) (convA circle1 (Ï€l areaBase) ) (convA circle2 (Ï€l areaTop) ) ☠+ + = axEqualCirc circle1 circle2 (Ï€l areaBase) (convA circle1 (Ï€l areaBase) ) (convA circle2 (Ï€l areaTop) ) ☠♠+ + + equalCircleFact + : ⊦ equalCirc circle1 circle2 ☠+ // = axEqualCirc circle1 circle2 (Ï€l areaBase) (convA circle1 (Ï€l areaBase) ) (convA circle2 (Ï€l areaTop) ) ☠+ meta ?MetaAnnotations?label s"${lverb circle1}=${lverb circle2} " ☠+ meta ?MetaAnnotations?description s"EqualAreaCircles" + â™ + + meta ?MetaAnnotations?label "EqualCircleAreaScroll" â™ + meta ?MetaAnnotations?description s"This scroll checks whether the area of the 2 given circles ${lverb circle1} ${lverb circle1} is equal or not." â™ + + âš +// âš + + + + + + + + + + + + + + + + + + diff --git a/source/Scrolls/CylinderScroll.mmt b/source/Scrolls/CylinderScroll.mmt new file mode 100644 index 0000000000000000000000000000000000000000..18e498252c7c80898710ac5c68d580fd7cf29f45 --- /dev/null +++ b/source/Scrolls/CylinderScroll.mmt @@ -0,0 +1,108 @@ +namespace http://mathhub.info/FrameIT/frameworld âš +fixmeta ?FrameworldMeta âš + + +// theory CylinderVolumeScroll = + meta ?MetaAnnotations?problemTheory ?CylinderVolumeScroll/Problem â™ + meta ?MetaAnnotations?solutionTheory ?CylinderVolumeScroll/Solution â™ + + theory Problem = + include ?ConeVolumeScroll/Problem â™ + + + proofOfEqualSize : ⊦ equalCirc base top ☠+ meta ?MetaAnnotations?label s"${lverb base}=${lverb top}" ☠+ meta ?MetaAnnotations?description s"Proof of equally sized Areas" + + â™ + + + + âš + + // theory Solution = + include ?CylinderVolumeScroll/Problem â™ + // deduceCylinder + : cyl ☠+ = mkCyl circle1 circle2 ( axParaCirc circle1 circle2 heightLine orthHeiBase orthHeiTop ) ☠+ meta ?MetaAnnotations?label s"Z:${lverb circle1 circle2} " ☠+ meta ?MetaAnnotations?description s"Cylinder" + â™ + + + + deduceVolume + : Σ x : â„ . ⊦ ( cylVol ( mkCyl circle1 circle2 proofOfEqualSize ( axParaCirc circle1 circle2 heightLine orthHeiBase orthHeiTop ) ) ) ≠x ☠+ = ⟨ ( Ï€l height ) â‹… ( Ï€l area_base ) , sketch "CylinderVolume Scroll" ⟩ ☠+ meta ?MetaAnnotations?label s"V:${lverb circle1 circle2} " ☠+ meta ?MetaAnnotations?description s"The Volume of the Cylinder" + â™ + + meta ?MetaAnnotations?label "CylinderVolumeScroll" â™ + meta ?MetaAnnotations?description s"This scroll caclculates the volume of a cylinder with top ${lverb circle2}, base ${lverb circle1}, height ${lverb height} and intersection points ${lverb I1} and ${lverb I2}. The formula is V = ${lverb height} â‹… ${lverb area_base} . " â™ + + âš +// âš + + + + + + + +// theory EqualCircleAreaScroll = + meta ?MetaAnnotations?problemTheory ?EqualCircleAreaScroll/Problem â™ + meta ?MetaAnnotations?solutionTheory ?EqualCircleAreaScroll/Solution â™ + + // theory Problem = + + + + circle1 : circle ☠meta ?MetaAnnotations?label "â—‹C" â™ + circle2 : circle ☠meta ?MetaAnnotations?label "â—‹c" â™ + + + areaBase : Σ x:â„ . ⊦ areaCirc circle1 ≠x ☠+ meta ?MetaAnnotations?label s"A1" ☠+ meta ?MetaAnnotations?description s"Area of base ${lverb circle1}" + + â™ + areaTop : Σ x:â„ . ⊦ areaCirc circle2 ≠x ☠+ meta ?MetaAnnotations?label s"A2" ☠+ meta ?MetaAnnotations?description s"Area of base ${lverb circle2}" + + â™ + + + + âš + + // theory Solution = + include ?EqualCircleAreaScroll/Problem â™ + // deduceCylinder + : cyl ☠+ = mkCyl circle1 circle2 ( axParaCirc circle1 circle2 heightLine orthHeiBase orthHeiTop ) ☠+ meta ?MetaAnnotations?label s"Z:${lverb circle1 circle2} " ☠+ meta ?MetaAnnotations?description s"Cylinder" + â™ + + + + equalCircleFact + : ⊦ equalCirc circle1 circle2 ☠+ = axEqualCirc circle1 circle2 ☠+ meta ?MetaAnnotations?label s"${lverb circle1}=${lverb circle1} " ☠+ meta ?MetaAnnotations?description s"EqualAreaCircles" + â™ + + meta ?MetaAnnotations?label "EqualCircleAreaScroll" â™ + meta ?MetaAnnotations?description s"This scroll checks whether the area of the 2 given circles ${lverb circle1} ${lverb circle1} is equal or not." â™ + + âš +// âš + + + + + + diff --git a/source/Scrolls/InterceptTheorem.mmt b/source/Scrolls/InterceptTheorem.mmt new file mode 100644 index 0000000000000000000000000000000000000000..f7daa9ccacae7fce4009dfd429ece9a1dcc8b4e0 --- /dev/null +++ b/source/Scrolls/InterceptTheorem.mmt @@ -0,0 +1,98 @@ +namespace http://mathhub.info/FrameIT/frameworld âš + +fixmeta ?FrameworldMeta âš + + +/T + S + /| + / | + / | + /___| + A C + / | + /______| + B D + +The scroll encodes the InterceptTheorem +âš + + +theory InterceptTheorem = + meta ?MetaAnnotations?problemTheory ?InterceptTheorem/Problem â™ + meta ?MetaAnnotations?solutionTheory ?InterceptTheorem/Solution â™ + + theory Problem = + S: point ☠meta ?MetaAnnotations?label "S" â™ + A: point ☠meta ?MetaAnnotations?label "A" â™ + B: point ☠meta ?MetaAnnotations?label "B" â™ + C: point ☠meta ?MetaAnnotations?label "C" â™ + D: point ☠meta ?MetaAnnotations?label "D" â™ + + H: line ☠meta ?MetaAnnotations?label "H"â™ + G: line ☠meta ?MetaAnnotations?label "G"â™ + + L: line ☠meta ?MetaAnnotations?label "L"â™ + M: line ☠meta ?MetaAnnotations?label "M"â™ + + + // annoying on proofs which are unfortunately necessary. A possible solution is to make it into two scrolls. One scroll just to build the geometric construction. One scroll to calculate the distancesâ™ + A_on_H : ⊦ A on H ☠meta ?MetaAnnotations?label s" ${lverb A}∈${lverb H}"â™ + C_on_H : ⊦ C on H ☠meta ?MetaAnnotations?label s" ${lverb C}∈${lverb H}"â™ + B_on_G : ⊦ B on G ☠meta ?MetaAnnotations?label s" ${lverb B}∈${lverb G}"â™ + D_on_G : ⊦ D on G ☠meta ?MetaAnnotations?label s" ${lverb D}∈${lverb G}"â™ + + + // TODO more proofs that the S is also on AB and CD ... â™ + S_on_L : ⊦ S on L ☠meta ?MetaAnnotations?label s" ${lverb S}∈${lverb L}"â™ + A_on_L : ⊦ A on L ☠meta ?MetaAnnotations?label s" ${lverb A}∈${lverb L}"â™ + B_on_L : ⊦ B on L ☠meta ?MetaAnnotations?label s" ${lverb B}∈${lverb L}"â™ + + S_on_M : ⊦ S on M ☠meta ?MetaAnnotations?label s" ${lverb S}∈${lverb M}"â™ + C_on_M : ⊦ C on M ☠meta ?MetaAnnotations?label s" ${lverb C}∈${lverb M}"â™ + D_on_M : ⊦ D on M ☠meta ?MetaAnnotations?label s" ${lverb D}∈${lverb M}"â™ + + + distanceSA : Σ x:â„ . ⊦ ( d- S A ) ≠x ☠+ meta ?MetaAnnotations?label s"${lverb S A}" ☠+ meta ?MetaAnnotations?description s"Length of leg ${lverb S A}" + â™ + distanceAC : Σ x:â„ . ⊦ ( d- A C ) ≠x ☠+ meta ?MetaAnnotations?label s"${lverb A C}" ☠+ meta ?MetaAnnotations?description s"Length of leg ${lverb A C}" + â™ + distanceSB : Σ x:â„ . ⊦ ( d- S B ) ≠x ☠+ meta ?MetaAnnotations?label s"${lverb S B}" ☠+ meta ?MetaAnnotations?description s"Length of leg ${lverb S B}" + â™ + + // TODO S € AB und S € CD. Dafuer muesste man dann auch noch die beiden anderen Geraden angeben. Mehr Variablen yay â™ + + + AC_||_BD : ⊦ paraL H G ☠+ meta ?MetaAnnotations?label s"${lverb H}||${lverb G}" ☠+ meta ?MetaAnnotations?description s"ParallelFact {lverb H} and {lverb G}" + â™ + âš + + theory Solution = + include ?InterceptTheorem/Problem â™ + + + // Problem, there is no divison defined in math.mmt, so I can't divide the line to get the correct answer â™ + + + + // ⟨((Ï€l distanceAC) â‹… (Ï€l distanceSB)) / (Ï€l distanceSA) , sketch "InterceptTheorem Scroll"⟩ Divison funktioniert aber leider noch nicht :) â™ + deduceLineBD + : Σ x:â„ . ⊦ ( d- B D) ≠x ☠+ = ⟨ doTheDif ((Ï€l distanceAC) â‹… (Ï€l distanceSB)) (Ï€l distanceSA) , sketch "InterceptTheorem Scroll"⟩ ☠+ meta ?MetaAnnotations?label s"PlaceHolder${lverb S A B C D}" ☠+ meta ?MetaAnnotations?description s"xThe deduced distance of BD by using BD*SA = AC*SB " + â™ + + // the description verbalizes InterceptTheorem, hence must come after its declaration â™ + meta ?MetaAnnotations?label s"InterceptTheorem" â™ + meta ?MetaAnnotations?description s" The Interceptheorem is calculating the length of ${lverb G}" â™ + âš +âš \ No newline at end of file diff --git a/source/Scrolls/ParallelLines.mmt b/source/Scrolls/ParallelLines.mmt new file mode 100644 index 0000000000000000000000000000000000000000..8b6276a8a2606448304e6edbd2c988cf72b164ce --- /dev/null +++ b/source/Scrolls/ParallelLines.mmt @@ -0,0 +1,98 @@ +namespace http://mathhub.info/FrameIT/frameworld âš + +fixmeta ?FrameworldMeta âš + + +/T + S + /| + / | + / | + /___| + A C + / | + /______| + B D + + +D ----- C +| | +| | +A ------B + +The scroll encodes the InterceptTheorem . +âš + + +theory ParallelLines = + meta ?MetaAnnotations?problemTheory ?ParallelLines/Problem â™ + meta ?MetaAnnotations?solutionTheory ?ParallelLines/Solution â™ + + + + theory Problem = + A: point ☠meta ?MetaAnnotations?label "A" â™ + B: point ☠meta ?MetaAnnotations?label "B" â™ + C: point ☠meta ?MetaAnnotations?label "C" â™ + D: point ☠meta ?MetaAnnotations?label "D" â™ + + H: line ☠meta ?MetaAnnotations?label s" ${lverb A D}" â™ + G: line ☠meta ?MetaAnnotations?label s" ${lverb B C}" â™ + + rightAngleA + : ⊦ ( ∠r D A B ) ☠+ meta ?MetaAnnotations?label s"⊾${lverb A}" ☠+ meta ?MetaAnnotations?description s"${lverb D A} ⟂ ${lverb A B}: right angle at ${lverb A} as enclosed by legs ${lverb D A} and ${lverb A B}." + â™ + + rightAngleB + : ⊦ ( ∠r A B C ) ☠+ meta ?MetaAnnotations?label s"⊾${lverb B}" ☠+ meta ?MetaAnnotations?description s"${lverb A B} ⟂ ${lverb B C}: right angle at ${lverb B} as enclosed by legs ${lverb A B} and ${lverb B C}." + â™ + + rightAngleC + : ⊦ ( ∠r B C D ) ☠+ meta ?MetaAnnotations?label s"⊾${lverb C}" ☠+ meta ?MetaAnnotations?description s"${lverb B C} ⟂ ${lverb C D}: right angle at ${lverb C} as enclosed by legs ${lverb B C} and ${lverb C D}." + â™ + + rightAngleD + : ⊦ ( ∠r C D A ) ☠+ meta ?MetaAnnotations?label s"⊾${lverb D}" ☠+ meta ?MetaAnnotations?description s"${lverb C D} ⟂ ${lverb D A}: right angle at ${lverb D} as enclosed by legs ${lverb C D} and ${lverb D A}." + â™ + + + + + A_on_AD : ⊦ A on H ☠meta ?MetaAnnotations?label s"${lverb A}∈${lverb H}"â™ + D_on_AD : ⊦ D on H ☠meta ?MetaAnnotations?label s"${lverb D}∈${lverb H}"â™ + + B_on_BC : ⊦ B on G ☠meta ?MetaAnnotations?label s"${lverb B}∈${lverb G}"â™ + C_on_BC : ⊦ C on G ☠meta ?MetaAnnotations?label s"${lverb C}∈${lverb G}" â™ + + âš + + theory Solution = + include ?ParallelLines/Problem â™ + +// ( rectangle_proof A B C D rightAngleB rightAngleC rightAngleD rightAngleA ) â™ + // test1 : ⊦ is_rect A B C D ☠+ = rectangle_proof (A) (B) (C) (D) rightAngleB rightAngleC rightAngleD rightAngleA ☠+ meta ?MetaAnnotations?label s"${lverb H}||${lverb G}jj" ☠+ meta ?MetaAnnotations?description s"A scroll that checks if AB and CD are parallel. On success it returns a ParallelLineFact."â™ + + ParallelFact1 : ⊦ ( paraL H G ) ☠+ = axiomRectParallelADBC H G A B C D ( rectangleProof (A) (B) (C) (D) rightAngleB rightAngleC rightAngleD rightAngleA ) A_on_AD D_on_AD B_on_BC C_on_BC ☠+ meta ?MetaAnnotations?label s"${lverb H}||${lverb G}" ☠+ meta ?MetaAnnotations?description s"A scroll that checks if AB and CD are parallel. On success it returns a ParallelLineFact."â™ + + + + // the description verbalizes ParallelLines, hence must come after its declaration â™ + // This Scrolls deduces whether the two lines ${lverb AB} and ${lverb CD} are parallel or not. â™ + meta ?MetaAnnotations?label s"ParallelLines" â™ + meta ?MetaAnnotations?description "sThe opposing sides of a rectangular ABCD are always parallel" â™ + âš + âš diff --git a/source/Scrolls/PlaneLineAngleScroll.mmt b/source/Scrolls/PlaneLineAngleScroll.mmt new file mode 100644 index 0000000000000000000000000000000000000000..5937f0cacb7fbb320fbdf4c703017a611c3063de --- /dev/null +++ b/source/Scrolls/PlaneLineAngleScroll.mmt @@ -0,0 +1,96 @@ +namespace http://mathhub.info/FrameIT/frameworld âš + +fixmeta ?FrameworldMeta âš + + +/T + +// This scrolls calculates the Volume of a cone with a circle as base. â™ +âš + + + + + + +theory CircleLineAngleScroll = + meta ?MetaAnnotations?problemTheory ?CircleLineAngleScroll/Problem â™ + meta ?MetaAnnotations?solutionTheory ?CircleLineAngleScroll/Solution â™ + + theory Problem = + + // Define the plane (circle) , line and the intersection point â™ + C : circle ☠meta ?MetaAnnotations?label "â—‹C" â™ + L : line ☠meta ?MetaAnnotations?label "L" â™ + + A : point ☠meta ?MetaAnnotations?label "A" â™ + + // Intersectionpoint is on the plane and the line â™ + A_on_L : ⊦ A on L ☠meta ?MetaAnnotations?label s" ${lverb A}∈${lverb L}"â™ + A_on_C : ⊦ A VonC C ☠meta ?MetaAnnotations?label s" ${lverb A}∈${lverb C}"â™ + âš + + theory Solution = + include ?CircleLineAngleScroll/Problem â™ + // if this gets evaluated to 90 degrees, the client will make another OrthogonalFact â™ + + deduceAngle + : Σ x : â„ . ⊦ angleCircleLine C L ≠x ☠+ = ⟨ radToDegree ( plcalc ( Pnormal ( planeCircle C ) ) ( directionL L ) ) , sketch "PlaneAngleScroll Scroll" ⟩ ☠+ meta ?MetaAnnotations?label s"∠${lverb C L}" ☠+ meta ?MetaAnnotations?description s"Caclculates the volume of a cone given the base and the height." + â™ + + meta ?MetaAnnotations?label "CircleLineAngleScroll" â™ + meta ?MetaAnnotations?description s" Caclculates the angle between the plane of ${lverb C} and the line ${lverb L} " â™ + âš +âš + +theory CircleLineAngleToAngleScroll = + meta ?MetaAnnotations?problemTheory ?CircleLineAngleToAngleScroll/Problem â™ + meta ?MetaAnnotations?solutionTheory ?CircleLineAngleToAngleScroll/Solution â™ + + theory Problem = + + // Define the plane (circle) , line and the intersection point â™ + C : circle ☠meta ?MetaAnnotations?label "â—‹C" â™ + L : line ☠meta ?MetaAnnotations?label "L" â™ + + orthogonalCircleLine : ⊦ orthogCL C L ☠meta ?MetaAnnotations?label s" ${lverb C}⊥${lverb L}" â™ + + + planeLineAngle : Σ x : â„ . ⊦ angleCircleLine C L ≠x ☠meta ?MetaAnnotations?label s"∠${lverb C L}" â™ + + A : point ☠meta ?MetaAnnotations?label "A" â™ + B : point ☠meta ?MetaAnnotations?label "B" â™ + P : point ☠meta ?MetaAnnotations?label "P" â™ + + // Intersectionpoint is on the plane and the line. â™ + A_on_L : ⊦ A on L ☠meta ?MetaAnnotations?label s"${lverb A}∈${lverb L}"â™ + + + B_on_L : ⊦ B on L ☠meta ?MetaAnnotations?label s" ${lverb B}∈${lverb L}"â™ + B_on_C : ⊦ B VonC C ☠meta ?MetaAnnotations?label s" ${lverb B}∈${lverb C}"â™ + + P_on_C : ⊦ P VonC C ☠meta ?MetaAnnotations?label s" ${lverb P}∈${lverb C}"â™ + + + + + âš + + theory Solution = + include ?CircleLineAngleToAngleScroll/Problem â™ + + // radToDegree ( ∠P,B,A ) â™ + deduceAngle : Σ x : â„ . ⊦ ( ∠P,B,A ) ≠x ☠+ = ⟨ Ï€l planeLineAngle , sketch "CastAngle" ⟩ ☠+ meta ?MetaAnnotations?label s"∠${lverb P B A}" ☠+ meta ?MetaAnnotations?description s"Caclculates the angle ∠${lverb P B A}" + â™ + + meta ?MetaAnnotations?label "CircleLineAngleToAngle" â™ + meta ?MetaAnnotations?description s"CircleLineAngle don't work as normal angles, therefore this scrolls converts a CircleLineAngle ∠${lverb C L} to a normal angle ∠${lverb P B A}, if it is 90°." â™ + âš +âš +