X2614

TRILINEAR POLE OF PU(71)

X2614 = cevapoint of X2606 and X2607
< 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) { 1, 2608 }: Central Line L(1, 2608) { 2605, 2612 }: Central Line L(2605, 2612) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2606 = CROSSSUM OF PU(70) (1.2843, -0.4943) X_2607 = CROSSDIFFERENCE OF PU(70) (0.5584, 0.2383) X_1 = INCENTER (0.5714, 0.2333) X_2608 = TRILINEAR POLE OF PU(70) (0.5847, 0.2280) X_2605 = DIFFERENCE OF PU(71) (6.1667, -1.9052) X_2612 = CROSSSUM OF PU(71) (0.8019, 0.3283) X_2614 = TRILINEAR POLE OF PU(71) (9.1392, -3.1427) A B C X2606 X2607 X1 X2608 X2605 X2612 X2614 (a, b, c) = (5, 6, 7) | AB = 1

X2614 (TRILINEAR POLE OF PU(71)) 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 \(f(A,B,C) = 1/[\csc(A - B) \csc(A - C) + \csc^{2}(B - C)]\)
Barycentrics: \((\sin A)f(A,B,C) : (\sin B)f(B,C,A) : (\sin C)f(C,A,B)\)
Search Value (6, 9, 13): \(-9.791564176321\)
▸ Incident Central Lines2 lines

{1, 2608}, {2605, 2612}

▸ Functional Relations3 relations