X1102

TRILINEAR CUBE OF X63

< 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) { 63, 304 }: Central Line L(63, 304) { 255, 326 }: Central Line L(255, 326) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_304 = ISOTOMIC CONJUGATE OF X(19) (0.3683, 0.0513) X_255 = ISOGONAL CONJUGATE OF X(158) (0.4217, 0.0365) X_326 = ISOTOMIC CONJUGATE OF X(158) (0.3354, 0.0219) X_1102 = TRILINEAR CUBE OF X(63) (0.2368, 0.0051) A B C X63 X304 X255 X326 X1102 (a, b, c) = (5, 6, 7) | AB = 1

X1102 (TRILINEAR CUBE OF X63) 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 \(f(A,B,C) = \cot^{3} A\)
Barycentrics: \(g(A,B,C) : g(B,C,A) : g(C,A,B)\), where \(g(A,B,C) = (\sin A) f(A,B,C)\)
Search Value (6, 9, 13): \(6.256755841583\)
▸ Incident Central Lines2 lines

{63, 304}, {255, 326}