X2633

CROSSSUM OF PU(75)

X2633 = X1-Ceva conjugate of X162
< 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) { 162, 656 }: Central Line L(162, 656) { 823, 2618 }: Central Line L(823, 2618) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_162 = CEVAPOINT OF X(108) AND X(109) (0.4897, 0.6018) X_656 = CROSSDIFFERENCE OF X(1) AND X(19) (7.5714, -0.8554) X_823 = ISOGONAL CONJUGATE OF X(822) (0.5623, 0.6035) X_2618 = DIFFERENCE OF PU(72) (-4.5086, 2.1795) X_2633 = CROSSSUM OF PU(75) (0.7202, 0.5544) A B C X1 X162 X656 X823 X2618 X2633 (a, b, c) = (5, 6, 7) | AB = 1

X2633 (CROSSSUM OF PU(75)) 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 \(f(A,B,C) = 1/[(\tan A - \tan B)(\tan A - \tan C)] - 1/(\tan B - \tan C)^{2}\)
Barycentrics: \((\sin A)f(A,B,C) : (\sin B)f(B,C,A) : (\sin C)f(C,A,B)\)
Search Value (6, 9, 13): \(0.582741065798\)
▸ Incident Central Lines2 lines

{162, 656}, {823, 2618}

▸ Functional Relations4 relations