X2620

CROSSDIFFERENCE OF PU(72)

X2620 = perspector of conic {{A, B, C,PU(73)}}
< A B C >: Reference Triangle △ABC [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 47, 48 }: Central Line L(47, 48) { 1, 2616 }: Central Line L(1, 2616) { 2617, 2619 }: Central Line L(2617, 2619) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2621 = TRILINEAR POLE OF PU(72) (0.5444, 0.2429) X_47 = -BETH CONJUGATE OF X(34) (0.7279, 0.4389) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_1 = INCENTER (0.5714, 0.2333) X_2616 = POINT TANIA (5.9110, -1.8124) X_2617 = ISOGONAL CONJUGATE OF X(2616) (0.2897, 0.5327) X_2619 = CROSSSUM OF PU(72) (1.3247, -0.5036) X_2620 = CROSSDIFFERENCE OF PU(72) (0.5994, 0.2226) A B C X2621 X47 X48 X1 X2616 X2617 X2619 X2620 (a, b, c) = (5, 6, 7) | AB = 1

X2620 (CROSSDIFFERENCE OF PU(72)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(A,B,C) : f(B,C,A) : f(C,A,B)\), where \(f(A,B,C) = \tan(A - B) \tan(A - C) + \tan^{2}(B - C)\)
Barycentrics: \((\sin A)f(A,B,C) : (\sin B)f(B,C,A) : (\sin C)f(C,A,B)\)
Search Value (6, 9, 13): \(4.369431204999\)
▸ Incident Central Lines3 lines

{1, 2616}, {47, 48}, {2617, 2619}

▸ Functional Relations2 relations