X2399

GIBERT-SIMSON TRANSFORM OF X102

X2399 = trilinear pole of line X124X522 (the Simson line of X102)
< 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) { 189, 514 }: Central Line L(189, 514) { 102, 1311 }: Central Line L(102, 1311) { 333, 2432 }: Central Line L(333, 2432) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2425 = ISOGONAL CONJUGATE OF X(2399) (0.7434, 0.6148) X_189 = CYCLOCEVIAN CONJUGATE OF X(8) (0.6131, 0.7055) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_102 = Λ(INCENTER, ORTHOCENTER) (0.6364, -0.3897) X_1311 = COLLINGS TRANSFORM OF X(1146) (0.7713, -0.3301) X_333 = CEVAPOINT OF X(8) AND X(9) (0.4886, 0.1475) X_2432 = ISOGONAL CONJUGATE OF X(2406) (1.3884, 0.1546) X_2399 = GIBERT-SIMSON TRANSFORM OF X(102) (1.8787, 0.1585) A B C X2425 X189 X514 X102 X1311 X333 X2432 X2399 (a, b, c) = (5, 6, 7) | AB = 1

X2399 (GIBERT-SIMSON TRANSFORM OF X102) 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): \(25.317815064905\)

X2399 lies on the cubic K010.

▸ Incident Central Lines3 lines

{102, 1311}, {189, 514}, {333, 2432}

▸ Functional Relations3 relations