Commit 251b2a8a authored by bBoesl's avatar bBoesl

framed simple triangle

parent dfa210b2
......@@ -4,7 +4,7 @@ import arith http://mathhub.info/MitM/smglom/arithmetics ❚
theory Lines : http://mathhub.info/MitM/Foundation?Math =
include ?Vector ❙
include ?Planes ❙
// include ?Planes ❙
// point: V ❙
// direction: V ❙
......
......@@ -14,4 +14,7 @@ theory Sphere : http://mathhub.info/MitM/Foundation?Math =
inSphere: S ⟶ V ⟶ bool ❘ = [s, v] ( d ( Sm s ) ( v ) ) < ( Sr s ) ❘ # 2 VinS 1 ❙
collidesSphereLine: S ⟶ L ⟶ bool ❘ = [s,l] ∃ [v] ( v VonL l ) ∨ (v VinS s ) ❘ # 1 ScolL 2 ❙
circumfenceSphere: S ⟶ ℝ ❘ = [s] ( Sr s ) ⋅ 2 ⋅ π ❘ # CS 1 ❙
areaSphere : S ⟶ ℝ ❘ = [s] ( Sr s ) ⋅ ( Sr s ) ⋅ π ❘ # AS 1 ❙
\ No newline at end of file
......@@ -26,6 +26,7 @@ theory problemTheory : http://BenniDoes.Stuff/?BenniDoesStuff =
distance_b_c_value : ℝ ❙
distance_b_c: ⊦ ( d bv cv ) ≐ distance_b_c_value ❙
distance_a_c_value: ℝ ❙
distance_a_c: ⊦ ( d av cv ) ≐ ( distance_a_b_value + distance_b_c_value ) ❙
distance_b_e_value : ℝ ❙
......
namespace http://BenniDoes.Stuff/ ❚
theory problemTheory : http://BenniDoes.Stuff/?BenniDoesStuff =
pA : V ❙
pB : V ❙
pC : V ❙
theory situationTherory : http://BenniDoes.Stuff/?BenniDoesStuff =
sA: V ❘ = Vof 1 1 1❙
sB: V ❘ = Vof 0 0 0❙
sC: V ❘ = Vof 0 0 1❙
theory solutionTherory : http://BenniDoes.Stuff/?BenniDoesStuff =
include ?problemTheory ❙
area : ℝ ❘ = AΔ ( Δof pA pB pC ) ❙
view situationProblemView : ?problemTheory -> ?situationTherory =
pA = sA ❙
pB = sB ❙
pC = sC ❙
\ No newline at end of file
......@@ -49,7 +49,7 @@ theory Triangle : http://mathhub.info/MitM/Foundation?Math =
lawOfSinesCB: { T } ⊦ _c T / sin ( _γ T ) ≐ _b T / sin ( _β T ) ❙
angleSum = {T} ⊦ (( _α T) + ( _β T) + ( _γ T) )≐ π ❙
area: Δ ⟶ ℝ ❘ = [T] ( _a T ) ⋅ ( _ha T ) ⋅ ( 1 / 2 )❘ # AΔ 1 ❙
area: Δ ⟶ ℝ ❘ = [T] ( n ( ( _A T ⁻ _B T ) Vcross ( _A T ⁻ _C T ) ) ) ⋅ ( 1 / 2 )❘ # AΔ 1 ❙
......
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