X2405

GIBERT-SIMSON TRANSFORM OF X108

X2405 = isogonal conjugate of X2431
< 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) { 2, 92 }: Central Line L(2, 92) { 653, 934 }: Central Line L(653, 934) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2431 = ISOGONAL CONJUGATE OF X(2405) (3.4695, 0.1856) X_2 = CENTROID (0.5374, 0.2000) X_92 = CEVAPOINT OF INCENTER AND CLAWSON POINT (0.5949, 0.3639) X_653 = TRILINEAR POLE OF LINE X(1)X(4) (0.5097, 0.6030) X_934 = -CROSS CONJUGATE OF X(57) (0.4269, 0.6071) X_2405 = GIBERT-SIMSON TRANSFORM OF X(108) (0.6759, 0.5949) A B C X2431 X2 X92 X653 X934 X2405 (a, b, c) = (5, 6, 7) | AB = 1

X2405 (GIBERT-SIMSON TRANSFORM OF X108) 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) is as given just before X2394
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(0.143474460037\)

X2405 lies on the cubic K010.

▸ Incident Central Lines2 lines

{2, 92}, {653, 934}

▸ Functional Relations3 relations