Skip to content
Snippets Groups Projects
Commit 3d961b83 authored by ComFreek's avatar ComFreek
Browse files

new scroll labels/descriptions + more modular triangle scrolls

parent cb7bbfd6
No related branches found
No related tags found
No related merge requests found
Hide whitespace changes
Inline Side-by-side
Showing
with 156 additions and 117 deletions
content/http..mathhub.info/FrameIT/frameworld/$Angle$Sum.omdoc.xz
+ 0
− 0
View file @ 3d961b83
No preview for this file type
content/http..mathhub.info/FrameIT/frameworld/$Opposite$Len.omdoc.xz
+ 0
− 0
View file @ 3d961b83
No preview for this file type
content/http..mathhub.info/FrameIT/frameworld/$Triangle$Problem.omdoc.xz 0 → 100644
+ 0
− 0
View file @ 3d961b83
File added
content/http..mathhub.info/FrameIT/frameworld/$Triangle$Problem_$Angle$At$A.omdoc.xz 0 → 100644
+ 0
− 0
View file @ 3d961b83
File added
content/http..mathhub.info/FrameIT/frameworld/$Triangle$Problem_$Angle$At$B.omdoc.xz 0 → 100644
+ 0
− 0
View file @ 3d961b83
File added
content/http..mathhub.info/FrameIT/frameworld/$Triangle$Problem_$Right$Angle$At$C.omdoc.xz 0 → 100644
+ 0
− 0
View file @ 3d961b83
File added
errors/mmt-omdoc/Scrolls/TriangleScrolls.mmt.err
+ 0
− 2
View file @ 3d961b83
<errors>
</errors>
narration/Scrolls/TriangleScrolls.omdoc
+ 3
− 3
View file @ 3d961b83
<?xml version="1.0" encoding="UTF-8"?> <?xml version="1.0" encoding="UTF-8"?>
<omdoc base="http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.omdoc"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.mmt#0.0.0:4666.135.3"/><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><opaque format="text"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.mmt#0.0.0:47.0.47"/></metadata>Modular scrolls having to do with triangles</opaque><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/TriangleScrolls.mmt#128.5.0:322.14.0"/></metadata>A blueprint problem theory for triangle scrolls <omdoc base="http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.omdoc"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.mmt#0.0.0:4946.141.3"/><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><opaque format="text"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.mmt#0.0.0:47.0.47"/></metadata>Modular scrolls having to do with triangles</opaque><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/TriangleScrolls.mmt#128.5.0:322.14.0"/></metadata>A blueprint problem theory for triangle scrolls
B B
/| /|
/ | / |
...@@ -7,6 +7,6 @@ ...@@ -7,6 +7,6 @@
/___| /___|
A C A C
(nicer image: https://en.wikipedia.org/wiki/Right_triangle#/media/File:Rtriangle.svg)</opaque><mref name="[http://mathhub.info/FrameIT/frameworld?TriangleScroll_GeneralProblem]" target="http://mathhub.info/FrameIT/frameworld?TriangleScroll_GeneralProblem"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.mmt#324.15.0:359.15.35"/></metadata></mref><opaque format="text"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.mmt#511.21.0:667.23.77"/></metadata>A blueprint problem theory for triangle scrolls that require a right angle (nicer image: https://en.wikipedia.org/wiki/Right_triangle#/media/File:Rtriangle.svg)</opaque><mref name="[http://mathhub.info/FrameIT/frameworld?TriangleProblem]" target="http://mathhub.info/FrameIT/frameworld?TriangleProblem"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.mmt#324.15.0:345.15.21"/></metadata></mref><opaque format="text"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.mmt#497.21.0:653.23.77"/></metadata>A blueprint problem theory for triangle scrolls that require a right angle
We use ?TriangleScroll_GeneralProblem and demand the angle at C to be 90°</opaque><mref name="[http://mathhub.info/FrameIT/frameworld?TriangleScroll_RightAngledProblem]" target="http://mathhub.info/FrameIT/frameworld?TriangleScroll_RightAngledProblem"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.mmt#669.24.0:708.24.39"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?AngleSum]" target="http://mathhub.info/FrameIT/frameworld?AngleSum"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.mmt#941.33.0:955.33.14"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?OppositeLen]" target="http://mathhub.info/FrameIT/frameworld?OppositeLen"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.mmt#2240.68.0:2257.68.17"/></metadata></mref></omdoc> We use ?TriangleScroll_GeneralProblem and demand the angle at C to be 90°</opaque><mref name="[http://mathhub.info/FrameIT/frameworld?TriangleProblem_RightAngleAtC]" target="http://mathhub.info/FrameIT/frameworld?TriangleProblem_RightAngleAtC"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.mmt#655.24.0:690.24.35"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtA]" target="http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtA"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.mmt#988.33.0:1018.33.30"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtB]" target="http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtB"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.mmt#1277.42.0:1307.42.30"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?AngleSum]" target="http://mathhub.info/FrameIT/frameworld?AngleSum"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.mmt#1521.51.0:1535.51.14"/></metadata></mref><mref name="[http://mathhub.info/FrameIT/frameworld?OppositeLen]" target="http://mathhub.info/FrameIT/frameworld?OppositeLen"><metadata><link rel="http://cds.omdoc.org/mmt?metadata?sourceRef" resource="http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.mmt#2574.77.0:2591.77.17"/></metadata></mref></omdoc>
\ No newline at end of file \ No newline at end of file
relational/Scrolls/TriangleScrolls.rel
+ 4
− 2
View file @ 3d961b83
document http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.omdoc document http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.omdoc
Declares http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.omdoc http://mathhub.info/FrameIT/frameworld?TriangleScroll_GeneralProblem Declares http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.omdoc http://mathhub.info/FrameIT/frameworld?TriangleProblem
Declares http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.omdoc http://mathhub.info/FrameIT/frameworld?TriangleScroll_RightAngledProblem Declares http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.omdoc http://mathhub.info/FrameIT/frameworld?TriangleProblem_RightAngleAtC
Declares http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.omdoc http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtA
Declares http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.omdoc http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtB
Declares http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.omdoc http://mathhub.info/FrameIT/frameworld?AngleSum Declares http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.omdoc http://mathhub.info/FrameIT/frameworld?AngleSum
Declares http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.omdoc http://mathhub.info/FrameIT/frameworld?OppositeLen Declares http://mathhub.info/FrameIT/frameworld/Scrolls/TriangleScrolls.omdoc http://mathhub.info/FrameIT/frameworld?OppositeLen
relational/http..mathhub.info/FrameIT/frameworld/$Angle$Sum.rel
+ 32
− 54
View file @ 3d961b83
...@@ -3,61 +3,39 @@ HasMeta http://mathhub.info/FrameIT/frameworld?AngleSum http://mathhub.info/Fram ...@@ -3,61 +3,39 @@ HasMeta http://mathhub.info/FrameIT/frameworld?AngleSum http://mathhub.info/Fram
Declares http://mathhub.info/FrameIT/frameworld?AngleSum http://mathhub.info/FrameIT/frameworld?AngleSum?Problem Declares http://mathhub.info/FrameIT/frameworld?AngleSum http://mathhub.info/FrameIT/frameworld?AngleSum?Problem
theory http://mathhub.info/FrameIT/frameworld?AngleSum/Problem theory http://mathhub.info/FrameIT/frameworld?AngleSum/Problem
HasMeta http://mathhub.info/FrameIT/frameworld?AngleSum/Problem http://mathhub.info/FrameIT/frameworld?FrameworldMeta HasMeta http://mathhub.info/FrameIT/frameworld?AngleSum/Problem http://mathhub.info/FrameIT/frameworld?FrameworldMeta
Includes http://mathhub.info/FrameIT/frameworld?AngleSum/Problem http://mathhub.info/FrameIT/frameworld?TriangleScroll_GeneralProblem Includes http://mathhub.info/FrameIT/frameworld?AngleSum/Problem http://mathhub.info/FrameIT/frameworld?TriangleProblem
Declares http://mathhub.info/FrameIT/frameworld?AngleSum/Problem http://mathhub.info/FrameIT/frameworld?AngleSum/Problem?angleBAC Includes http://mathhub.info/FrameIT/frameworld?AngleSum/Problem http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtA
constant http://mathhub.info/FrameIT/frameworld?AngleSum/Problem?angleBAC Includes http://mathhub.info/FrameIT/frameworld?AngleSum/Problem http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtB
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Problem?angleBAC?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Problem?angleBAC?type http://mathhub.info/MitM/Foundation?Logic?ded?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Problem?angleBAC?type http://mathhub.info/MitM/Foundation?Logic?prop?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Problem?angleBAC?type http://mathhub.info/MitM/Foundation?Logic?prop?definition
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Problem?angleBAC?type http://mathhub.info/FrameIT/frameworld?TriangleScroll_GeneralProblem?A?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Problem?angleBAC?type http://mathhub.info/MitM/core/geometry?Geometry/Common?angle_between?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Problem?angleBAC?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Problem?angleBAC?type http://mathhub.info/FrameIT/frameworld?TriangleScroll_GeneralProblem?C?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Problem?angleBAC?type http://mathhub.info/FrameIT/frameworld?TriangleScroll_GeneralProblem?B?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Problem?angleBAC?type http://mathhub.info/MitM/Foundation?Logic?eq?type
Declares http://mathhub.info/FrameIT/frameworld?AngleSum/Problem http://mathhub.info/FrameIT/frameworld?AngleSum/Problem?angleABC
constant http://mathhub.info/FrameIT/frameworld?AngleSum/Problem?angleABC
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Problem?angleABC?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Problem?angleABC?type http://mathhub.info/MitM/Foundation?Logic?ded?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Problem?angleABC?type http://mathhub.info/MitM/Foundation?Logic?prop?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Problem?angleABC?type http://mathhub.info/MitM/Foundation?Logic?prop?definition
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Problem?angleABC?type http://mathhub.info/FrameIT/frameworld?TriangleScroll_GeneralProblem?A?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Problem?angleABC?type http://mathhub.info/MitM/core/geometry?Geometry/Common?angle_between?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Problem?angleABC?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Problem?angleABC?type http://mathhub.info/FrameIT/frameworld?TriangleScroll_GeneralProblem?C?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Problem?angleABC?type http://mathhub.info/FrameIT/frameworld?TriangleScroll_GeneralProblem?B?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Problem?angleABC?type http://mathhub.info/MitM/Foundation?Logic?eq?type
Declares http://mathhub.info/FrameIT/frameworld?AngleSum http://mathhub.info/FrameIT/frameworld?AngleSum?Solution Declares http://mathhub.info/FrameIT/frameworld?AngleSum http://mathhub.info/FrameIT/frameworld?AngleSum?Solution
theory http://mathhub.info/FrameIT/frameworld?AngleSum/Solution theory http://mathhub.info/FrameIT/frameworld?AngleSum/Solution
HasMeta http://mathhub.info/FrameIT/frameworld?AngleSum/Solution http://mathhub.info/FrameIT/frameworld?FrameworldMeta HasMeta http://mathhub.info/FrameIT/frameworld?AngleSum/Solution http://mathhub.info/FrameIT/frameworld?FrameworldMeta
Includes http://mathhub.info/FrameIT/frameworld?AngleSum/Solution http://mathhub.info/FrameIT/frameworld?AngleSum/Problem Includes http://mathhub.info/FrameIT/frameworld?AngleSum/Solution http://mathhub.info/FrameIT/frameworld?AngleSum/Problem
Declares http://mathhub.info/FrameIT/frameworld?AngleSum/Solution http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleBCA Declares http://mathhub.info/FrameIT/frameworld?AngleSum/Solution http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleC
constant http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleBCA constant http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleC
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleBCA?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleC?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleBCA?type http://mathhub.info/MitM/Foundation?Logic?ded?type DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleC?type http://mathhub.info/MitM/Foundation?Logic?ded?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleBCA?type http://mathhub.info/MitM/Foundation?Logic?prop?type DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleC?type http://mathhub.info/MitM/Foundation?Logic?prop?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleBCA?type http://mathhub.info/MitM/Foundation?Logic?prop?definition DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleC?type http://mathhub.info/MitM/Foundation?Logic?prop?definition
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleBCA?type http://mathhub.info/FrameIT/frameworld?TriangleScroll_GeneralProblem?A?type DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleC?type http://mathhub.info/FrameIT/frameworld?TriangleProblem?A?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleBCA?type http://mathhub.info/MitM/core/geometry?Geometry/Common?angle_between?type DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleC?type http://mathhub.info/FrameIT/frameworld?TriangleProblem?C?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleBCA?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleC?type http://mathhub.info/MitM/core/geometry?Geometry/Common?angle_between?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleBCA?type http://mathhub.info/FrameIT/frameworld?TriangleScroll_GeneralProblem?C?type DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleC?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleBCA?type http://mathhub.info/FrameIT/frameworld?TriangleScroll_GeneralProblem?B?type DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleC?type http://mathhub.info/MitM/Foundation?Logic?eq?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleBCA?type http://mathhub.info/MitM/Foundation?Logic?eq?type DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleC?type http://mathhub.info/FrameIT/frameworld?TriangleProblem?B?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleBCA?definition http://mathhub.info/MitM/Foundation?Logic?prop?type DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleC?definition http://mathhub.info/MitM/Foundation?Logic?prop?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleBCA?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleC?definition http://mathhub.info/FrameIT/frameworld?TriangleProblem?A?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleBCA?definition http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch?type DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleC?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleBCA?definition http://cds.omdoc.org/urtheories?Ded?DED?type DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleC?definition http://mathhub.info/FrameIT/frameworld?TriangleProblem?C?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleBCA?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?angle_between?type DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleC?definition http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleBCA?definition http://mathhub.info/FrameIT/frameworld?AngleSum/Problem?angleABC?type DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleC?definition http://cds.omdoc.org/urtheories?Ded?DED?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleBCA?definition http://mathhub.info/FrameIT/frameworld?TriangleScroll_GeneralProblem?B?type DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleC?definition http://mathhub.info/MitM/core/geometry?Geometry/Common?angle_between?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleBCA?definition http://mathhub.info/MitM/Foundation?Logic?eq?type DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleC?definition http://mathhub.info/MitM/Foundation?Logic?eq?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleBCA?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleC?definition http://cds.omdoc.org/urtheories?Bool?BOOL?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleBCA?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleC?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleBCA?definition http://mathhub.info/MitM/Foundation?Logic?ded?type DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleC?definition http://mathhub.info/MitM/Foundation?Logic?ded?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleBCA?definition http://mathhub.info/FrameIT/frameworld?TriangleScroll_GeneralProblem?A?type DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleC?definition http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtB?angleB?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleBCA?definition http://mathhub.info/FrameIT/frameworld?AngleSum/Problem?angleBAC?type DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleC?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleBCA?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction?type DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleC?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleBCA?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleC?definition http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtA?angleA?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleBCA?definition http://mathhub.info/FrameIT/frameworld?TriangleScroll_GeneralProblem?C?type DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleC?definition http://cds.omdoc.org/urtheories?Strings?string?type
DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleBCA?definition http://cds.omdoc.org/urtheories?Strings?string?type DependsOn http://mathhub.info/FrameIT/frameworld?AngleSum/Solution?angleC?definition http://mathhub.info/FrameIT/frameworld?TriangleProblem?B?type
relational/http..mathhub.info/FrameIT/frameworld/$Opposite$Len.rel
+ 9
− 20
View file @ 3d961b83
...@@ -3,7 +3,7 @@ HasMeta http://mathhub.info/FrameIT/frameworld?OppositeLen http://mathhub.info/F ...@@ -3,7 +3,7 @@ HasMeta http://mathhub.info/FrameIT/frameworld?OppositeLen http://mathhub.info/F
Declares http://mathhub.info/FrameIT/frameworld?OppositeLen http://mathhub.info/FrameIT/frameworld?OppositeLen?Problem Declares http://mathhub.info/FrameIT/frameworld?OppositeLen http://mathhub.info/FrameIT/frameworld?OppositeLen?Problem
theory http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem theory http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem
HasMeta http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem http://mathhub.info/FrameIT/frameworld?FrameworldMeta HasMeta http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem http://mathhub.info/FrameIT/frameworld?FrameworldMeta
Includes http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem http://mathhub.info/FrameIT/frameworld?TriangleScroll_RightAngledProblem Includes http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem http://mathhub.info/FrameIT/frameworld?TriangleProblem_RightAngleAtC
Declares http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?distanceBC Declares http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?distanceBC
constant http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?distanceBC constant http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?distanceBC
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?distanceBC?type http://mathhub.info/MitM/core/geometry?Geometry/Common?metric?type DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?distanceBC?type http://mathhub.info/MitM/core/geometry?Geometry/Common?metric?type
...@@ -11,22 +11,11 @@ DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?distanceBC? ...@@ -11,22 +11,11 @@ DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?distanceBC?
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?distanceBC?type http://mathhub.info/MitM/Foundation?Logic?ded?type DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?distanceBC?type http://mathhub.info/MitM/Foundation?Logic?ded?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?distanceBC?type http://mathhub.info/MitM/Foundation?Logic?prop?type DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?distanceBC?type http://mathhub.info/MitM/Foundation?Logic?prop?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?distanceBC?type http://mathhub.info/MitM/Foundation?Logic?prop?definition DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?distanceBC?type http://mathhub.info/MitM/Foundation?Logic?prop?definition
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?distanceBC?type http://mathhub.info/FrameIT/frameworld?TriangleProblem?C?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?distanceBC?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?distanceBC?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?distanceBC?type http://mathhub.info/FrameIT/frameworld?TriangleScroll_GeneralProblem?C?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?distanceBC?type http://mathhub.info/FrameIT/frameworld?TriangleScroll_GeneralProblem?B?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?distanceBC?type http://mathhub.info/MitM/Foundation?Logic?eq?type DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?distanceBC?type http://mathhub.info/MitM/Foundation?Logic?eq?type
Declares http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?angleABC DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?distanceBC?type http://mathhub.info/FrameIT/frameworld?TriangleProblem?B?type
constant http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?angleABC Includes http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtB
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?angleABC?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?angleABC?type http://mathhub.info/MitM/Foundation?Logic?ded?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?angleABC?type http://mathhub.info/MitM/Foundation?Logic?prop?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?angleABC?type http://mathhub.info/MitM/Foundation?Logic?prop?definition
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?angleABC?type http://mathhub.info/FrameIT/frameworld?TriangleScroll_GeneralProblem?A?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?angleABC?type http://mathhub.info/MitM/core/geometry?Geometry/Common?angle_between?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?angleABC?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?angleABC?type http://mathhub.info/FrameIT/frameworld?TriangleScroll_GeneralProblem?C?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?angleABC?type http://mathhub.info/FrameIT/frameworld?TriangleScroll_GeneralProblem?B?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?angleABC?type http://mathhub.info/MitM/Foundation?Logic?eq?type
Declares http://mathhub.info/FrameIT/frameworld?OppositeLen http://mathhub.info/FrameIT/frameworld?OppositeLen?Solution Declares http://mathhub.info/FrameIT/frameworld?OppositeLen http://mathhub.info/FrameIT/frameworld?OppositeLen?Solution
theory http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution theory http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution
HasMeta http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution http://mathhub.info/FrameIT/frameworld?FrameworldMeta HasMeta http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution http://mathhub.info/FrameIT/frameworld?FrameworldMeta
...@@ -38,15 +27,16 @@ DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLin ...@@ -38,15 +27,16 @@ DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLin
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?type http://mathhub.info/MitM/Foundation?Logic?ded?type DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?type http://mathhub.info/MitM/Foundation?Logic?ded?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?type http://mathhub.info/MitM/Foundation?Logic?prop?type DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?type http://mathhub.info/MitM/Foundation?Logic?prop?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?type http://mathhub.info/MitM/Foundation?Logic?prop?definition DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?type http://mathhub.info/MitM/Foundation?Logic?prop?definition
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?type http://mathhub.info/FrameIT/frameworld?TriangleScroll_GeneralProblem?A?type DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?type http://mathhub.info/FrameIT/frameworld?TriangleProblem?A?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?type http://mathhub.info/FrameIT/frameworld?TriangleProblem?C?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?type http://mathhub.info/FrameIT/frameworld?TriangleScroll_GeneralProblem?C?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?type http://mathhub.info/MitM/Foundation?Logic?eq?type DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?type http://mathhub.info/MitM/Foundation?Logic?eq?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?distanceBC?type DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?distanceBC?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://mathhub.info/MitM/Foundation?Trigonometry?tan?type DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://mathhub.info/MitM/Foundation?Trigonometry?tan?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://mathhub.info/MitM/Foundation?Logic?prop?type DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://mathhub.info/MitM/Foundation?Logic?prop?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://mathhub.info/FrameIT/frameworld?TriangleProblem?A?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://mathhub.info/MitM/Foundation?Logic?ded?definition
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?angleABC?type DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://mathhub.info/FrameIT/frameworld?TriangleProblem?C?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch?type DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://cds.omdoc.org/urtheories?Ded?DED?type DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://cds.omdoc.org/urtheories?Ded?DED?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://mathhub.info/MitM/Foundation?Logic?eq?type DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://mathhub.info/MitM/Foundation?Logic?eq?type
...@@ -55,7 +45,6 @@ DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLin ...@@ -55,7 +45,6 @@ DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLin
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://mathhub.info/MitM/core/geometry?3DGeometry?point?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://mathhub.info/MitM/Foundation?Logic?ded?type DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://mathhub.info/MitM/Foundation?Logic?ded?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://mathhub.info/FrameIT/frameworld?TriangleScroll_GeneralProblem?A?type DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtB?angleB?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://mathhub.info/FrameIT/frameworld?TriangleScroll_GeneralProblem?C?type
DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://cds.omdoc.org/urtheories?Strings?string?type DependsOn http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA?definition http://cds.omdoc.org/urtheories?Strings?string?type
relational/http..mathhub.info/FrameIT/frameworld/$Triangle$Problem.rel 0 → 100644
+ 17
− 0
View file @ 3d961b83
dataconstructor http://mathhub.info/FrameIT/frameworld?TriangleProblem?A
dataconstructor http://mathhub.info/FrameIT/frameworld?TriangleProblem?B
dataconstructor http://mathhub.info/FrameIT/frameworld?TriangleProblem?C
theory http://mathhub.info/FrameIT/frameworld?TriangleProblem
HasMeta http://mathhub.info/FrameIT/frameworld?TriangleProblem http://mathhub.info/FrameIT/frameworld?FrameworldMeta
Declares http://mathhub.info/FrameIT/frameworld?TriangleProblem http://mathhub.info/FrameIT/frameworld?TriangleProblem?A
constant http://mathhub.info/FrameIT/frameworld?TriangleProblem?A
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem?A?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem?A?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition
Declares http://mathhub.info/FrameIT/frameworld?TriangleProblem http://mathhub.info/FrameIT/frameworld?TriangleProblem?B
constant http://mathhub.info/FrameIT/frameworld?TriangleProblem?B
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem?B?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem?B?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition
Declares http://mathhub.info/FrameIT/frameworld?TriangleProblem http://mathhub.info/FrameIT/frameworld?TriangleProblem?C
constant http://mathhub.info/FrameIT/frameworld?TriangleProblem?C
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem?C?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem?C?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?definition
relational/http..mathhub.info/FrameIT/frameworld/$Triangle$Problem_$Angle$At$A.rel 0 → 100644
+ 16
− 0
View file @ 3d961b83
dataconstructor http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtA?angleA
theory http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtA
HasMeta http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtA http://mathhub.info/FrameIT/frameworld?FrameworldMeta
Includes http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtA http://mathhub.info/FrameIT/frameworld?TriangleProblem
Declares http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtA http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtA?angleA
constant http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtA?angleA
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtA?angleA?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtA?angleA?type http://mathhub.info/MitM/Foundation?Logic?ded?type
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtA?angleA?type http://mathhub.info/MitM/Foundation?Logic?prop?type
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtA?angleA?type http://mathhub.info/MitM/Foundation?Logic?prop?definition
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtA?angleA?type http://mathhub.info/FrameIT/frameworld?TriangleProblem?A?type
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtA?angleA?type http://mathhub.info/FrameIT/frameworld?TriangleProblem?C?type
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtA?angleA?type http://mathhub.info/MitM/core/geometry?Geometry/Common?angle_between?type
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtA?angleA?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtA?angleA?type http://mathhub.info/MitM/Foundation?Logic?eq?type
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtA?angleA?type http://mathhub.info/FrameIT/frameworld?TriangleProblem?B?type
relational/http..mathhub.info/FrameIT/frameworld/$Triangle$Problem_$Angle$At$B.rel 0 → 100644
+ 16
− 0
View file @ 3d961b83
dataconstructor http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtB?angleB
theory http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtB
HasMeta http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtB http://mathhub.info/FrameIT/frameworld?FrameworldMeta
Includes http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtB http://mathhub.info/FrameIT/frameworld?TriangleProblem
Declares http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtB http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtB?angleB
constant http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtB?angleB
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtB?angleB?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtB?angleB?type http://mathhub.info/MitM/Foundation?Logic?ded?type
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtB?angleB?type http://mathhub.info/MitM/Foundation?Logic?prop?type
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtB?angleB?type http://mathhub.info/MitM/Foundation?Logic?prop?definition
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtB?angleB?type http://mathhub.info/FrameIT/frameworld?TriangleProblem?A?type
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtB?angleB?type http://mathhub.info/FrameIT/frameworld?TriangleProblem?C?type
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtB?angleB?type http://mathhub.info/MitM/core/geometry?Geometry/Common?angle_between?type
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtB?angleB?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtB?angleB?type http://mathhub.info/MitM/Foundation?Logic?eq?type
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtB?angleB?type http://mathhub.info/FrameIT/frameworld?TriangleProblem?B?type
relational/http..mathhub.info/FrameIT/frameworld/$Triangle$Problem_$Right$Angle$At$C.rel 0 → 100644
+ 17
− 0
View file @ 3d961b83
dataconstructor http://mathhub.info/FrameIT/frameworld?TriangleProblem_RightAngleAtC?rightAngleC
theory http://mathhub.info/FrameIT/frameworld?TriangleProblem_RightAngleAtC
HasMeta http://mathhub.info/FrameIT/frameworld?TriangleProblem_RightAngleAtC http://mathhub.info/FrameIT/frameworld?FrameworldMeta
Includes http://mathhub.info/FrameIT/frameworld?TriangleProblem_RightAngleAtC http://mathhub.info/FrameIT/frameworld?TriangleProblem
Declares http://mathhub.info/FrameIT/frameworld?TriangleProblem_RightAngleAtC http://mathhub.info/FrameIT/frameworld?TriangleProblem_RightAngleAtC?rightAngleC
constant http://mathhub.info/FrameIT/frameworld?TriangleProblem_RightAngleAtC?rightAngleC
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_RightAngleAtC?rightAngleC?type http://mathhub.info/MitM/core/geometry?3DGeometry?point?type
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_RightAngleAtC?rightAngleC?type http://mathhub.info/MitM/Foundation?Logic?ded?type
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_RightAngleAtC?rightAngleC?type http://mathhub.info/MitM/Foundation?Logic?prop?type
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_RightAngleAtC?rightAngleC?type http://mathhub.info/MitM/Foundation?Logic?prop?definition
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_RightAngleAtC?rightAngleC?type http://mathhub.info/FrameIT/frameworld?TriangleProblem?A?type
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_RightAngleAtC?rightAngleC?type http://mathhub.info/MitM/Foundation?Logic?ded?definition
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_RightAngleAtC?rightAngleC?type http://mathhub.info/FrameIT/frameworld?TriangleProblem?C?type
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_RightAngleAtC?rightAngleC?type http://mathhub.info/MitM/core/geometry?Geometry/Common?angle_between?type
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_RightAngleAtC?rightAngleC?type http://mathhub.info/MitM/Foundation?RealLiterals?real_lit?type
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_RightAngleAtC?rightAngleC?type http://mathhub.info/MitM/Foundation?Logic?eq?type
DependsOn http://mathhub.info/FrameIT/frameworld?TriangleProblem_RightAngleAtC?rightAngleC?type http://mathhub.info/FrameIT/frameworld?TriangleProblem?B?type
source/Scrolls/TriangleScrolls.mmt
+ 42
− 36
View file @ 3d961b83
...@@ -13,7 +13,7 @@ fixmeta ?FrameworldMeta ❚ ...@@ -13,7 +13,7 @@ fixmeta ?FrameworldMeta ❚
(nicer image: https://en.wikipedia.org/wiki/Right_triangle#/media/File:Rtriangle.svg) (nicer image: https://en.wikipedia.org/wiki/Right_triangle#/media/File:Rtriangle.svg)
❚ ❚
theory TriangleScroll_GeneralProblem = theory TriangleProblem =
A: point ❘ meta ?MetaAnnotations?label "A" ❙ A: point ❘ meta ?MetaAnnotations?label "A" ❙
B: point ❘ meta ?MetaAnnotations?label "B"❙ B: point ❘ meta ?MetaAnnotations?label "B"❙
C: point ❘ meta ?MetaAnnotations?label "C"❙ C: point ❘ meta ?MetaAnnotations?label "C"❙
...@@ -22,47 +22,56 @@ theory TriangleScroll_GeneralProblem = ...@@ -22,47 +22,56 @@ theory TriangleScroll_GeneralProblem =
/T A blueprint problem theory for triangle scrolls that require a right angle /T A blueprint problem theory for triangle scrolls that require a right angle
We use ?TriangleScroll_GeneralProblem and demand the angle at C to be 90° ❚ We use ?TriangleScroll_GeneralProblem and demand the angle at C to be 90° ❚
theory TriangleScroll_RightAngledProblem = theory TriangleProblem_RightAngleAtC =
include ?TriangleScroll_GeneralProblem ❙ include ?TriangleProblem ❙
rightAngleBCA rightAngleC
: ⊦ ( ∠ B,C,A ) ≐ 90.0 ❘ : ⊦ ( ∠ B,C,A ) ≐ 90.0 ❘
meta ?MetaAnnotations?label s"∟${lverb C}" ❘ meta ?MetaAnnotations?label s"⊾${lverb C} (${lverb A C} ⟂ ${lverb B C})" ❘
meta ?MetaAnnotations?description s"Right angle at ${lverb C}" meta ?MetaAnnotations?description s"Right angle at ${lverb C} as enclosed by legs ${lverb A C} and ${lverb B C}."
❙ ❙
❚ ❚
theory TriangleProblem_AngleAtA =
include ?TriangleProblem ❙
angleA
: Σ α: ℝ. ⊦ ( ∠ B,A,C ) ≐ α ❘
meta ?MetaAnnotations?label s"∠${lverb B A C}" ❘
meta ?MetaAnnotations?description s"Angle at ${lverb A} as enclosed by legs ${lverb A B} and ${lverb A C}"
❙
❚
theory TriangleProblem_AngleAtB =
include ?TriangleProblem ❙
angleB
: Σ β: ℝ. ⊦ ( ∠ A,B,C ) ≐ β ❘
meta ?MetaAnnotations?label s"∠${lverb A B C}" ❘
meta ?MetaAnnotations?description s"Angle at ${lverb B}"
❙
❚
theory AngleSum = theory AngleSum =
meta ?MetaAnnotations?problemTheory ?AngleSum/Problem ❙ meta ?MetaAnnotations?problemTheory ?AngleSum/Problem ❙
meta ?MetaAnnotations?solutionTheory ?AngleSum/Solution ❙ meta ?MetaAnnotations?solutionTheory ?AngleSum/Solution ❙
theory Problem = theory Problem =
include ?TriangleScroll_GeneralProblem ❙ include ?TriangleProblem ❙
include ?TriangleProblem_AngleAtA ❙
angleBAC include ?TriangleProblem_AngleAtB ❙
: Σ α: ℝ. ⊦ ( ∠ B,A,C ) ≐ α ❘
meta ?MetaAnnotations?label s"∠${lverb B A C}" ❘
meta ?MetaAnnotations?description s"Angle at ${lverb A}"
❙
angleABC
: Σ β: ℝ. ⊦ ( ∠ A,B,C ) ≐ β ❘
meta ?MetaAnnotations?label s"∠${lverb A B C}" ❘
meta ?MetaAnnotations?description s"Angle at ${lverb B}"
❙
❚ ❚
theory Solution = theory Solution =
include ?AngleSum/Problem ❙ include ?AngleSum/Problem ❙
meta ?MetaAnnotations?label "AngleSum" ❙ angleC
meta ?MetaAnnotations?description s"Given a triangle ${lverb A B C} and two known angles, we can deduce the missing angle by the sum of interior angles in triangles always being 180°" ❙
angleBCA
: Σ γ: ℝ. ⊦ ( ∠ B,C,A ) ≐ γ ❘ : Σ γ: ℝ. ⊦ ( ∠ B,C,A ) ≐ γ ❘
= ⟨180.0 - (πl angleBAC) - (πl angleABC), sketch "By sum of interior angles = 180° in triangles"⟩ ❘ = ⟨180.0 - (πl angleA) - (πl angleB), sketch "By sum of interior angles = 180° in triangles"⟩ ❘
meta ?MetaAnnotations?label s"∠${lverb B C A}" ❘ meta ?MetaAnnotations?label s"∠${lverb B C A}" ❘
meta ?MetaAnnotations?description s"The deduced angle by calculating 180° - ${lverb angleBAC} - ${lverb angleABC}" meta ?MetaAnnotations?description s"The deduced angle by calculating 180° - ${lverb angleA} - ${lverb angleB}"
❙ ❙
// the description verbalizes angleC, hence must come after its declaration ❙
meta ?MetaAnnotations?label "AngleSum" ❙
meta ?MetaAnnotations?description s"Given a triangle △${lverb A B C} and two known angles, we can deduce the missing angle by: ${lverb angleC} = 180° - ${lverb angleA} - ${lverb angleB}." ❙
❚ ❚
❚ ❚
...@@ -71,33 +80,30 @@ theory OppositeLen = ...@@ -71,33 +80,30 @@ theory OppositeLen =
meta ?MetaAnnotations?solutionTheory ?OppositeLen/Solution ❙ meta ?MetaAnnotations?solutionTheory ?OppositeLen/Solution ❙
theory Problem = theory Problem =
include ?TriangleScroll_RightAngledProblem ❙ include ?TriangleProblem_RightAngleAtC ❙
distanceBC distanceBC
: Σ x:ℝ . ⊦ ( d- B C ) ≐ x ❘ : Σ x:ℝ . ⊦ ( d- B C ) ≐ x ❘
meta ?MetaAnnotations?label s"${lverb B C}" ❘ meta ?MetaAnnotations?label s"${lverb B C}" ❘
meta ?MetaAnnotations?description s"Length of leg ${lverb B C}" meta ?MetaAnnotations?description s"Length of leg ${lverb B C}"
❙ ❙
angleABC include ?TriangleProblem_AngleAtB ❙
: Σ a:ℝ . ⊦ ( ∠ A,B,C ) ≐ a ❘
meta ?MetaAnnotations?label s"∠${lverb A B C}" ❘
meta ?MetaAnnotations?description s"Angle at ${lverb B}"
❙
❚ ❚
theory Solution = theory Solution =
include ?OppositeLen/Problem ❙ include ?OppositeLen/Problem ❙
meta ?MetaAnnotations?label "OppositeLen" ❙
meta ?MetaAnnotations?description s"Given a triangle ${lverb A B C} right angled at ${lverb C}, the distance ${lverb A B} can be computed from the angle at ${lverb B} and the distance ${lverb B C}" ❙
deducedLineCA deducedLineCA
: Σ x:ℝ . ⊦ (d- C A) ≐ x ❘ : Σ x:ℝ . ⊦ (d- C A) ≐ x ❘
= ⟨(tan (πl angleABC)) ⋅ (πl distanceBC), sketch "OppositeLen Scroll"⟩ ❘ = ⟨(tan (πl angleB)) ⋅ (πl distanceBC), sketch "OppositeLen Scroll"⟩ ❘
meta ?MetaAnnotations?label s"${lverb C A}" ❘ meta ?MetaAnnotations?label s"${lverb C A}" ❘
meta ?MetaAnnotations?description s"The deduced length of the line ${lverb C A}" meta ?MetaAnnotations?description s"The deduced length of the line ${lverb C A}"
❙ ❙
// the description verbalizes deducedLineCA, hence must come after its declaration ❙
meta ?MetaAnnotations?label "OppositeLen" ❙
meta ?MetaAnnotations?description s"Given a triangle △${lverb A B C} right-angled at ⊾${lverb C}, the distance ${lverb deducedLineCA} can be computed from the angle at ${lverb angleB} and the distance ${lverb B C}." ❙
❚ ❚
❚ ❚
......
0% or .
You are about to add 0 people to the discussion. Proceed with caution.
Finish editing this message first!
Please register or to comment