X2411

GIBERT-SIMSON TRANSFORM OF X477

X2411 = barycentric quotient X477/X476
< 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) { 477, 842 }: Central Line L(477, 842) { 249, 2407 }: Central Line L(249, 2407) { 323, 2436 }: Central Line L(323, 2436) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2437 = ISOGONAL CONJUGATE OF X(2411) (1.8486, -1.2526) X_477 = TIXIER ANTIPODE (0.0176, -0.0644) X_842 = ISOGONAL CONJUGATE OF X(542) (-0.0101, 0.1156) X_249 = ISOGONAL CONJUGATE OF X(115) (0.5045, 0.3948) X_2407 = GIBERT-SIMSON TRANSFORM OF X(110) (1.2056, 0.9180) X_323 = ISOTOMIC CONJUGATE OF X(94) (-0.8839, -1.3275) X_2436 = ISOGONAL CONJUGATE OF X(2410) (0.0172, 0.0411) X_2411 = GIBERT-SIMSON TRANSFORM OF X(477) (0.0044, 0.0215) A B C X2437 X477 X842 X249 X2407 X323 X2436 X2411 (a, b, c) = (5, 6, 7) | AB = 1

X2411 (GIBERT-SIMSON TRANSFORM OF X477) 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): \(17.984558032193\)

X2411 lies on the cubic K010.

▸ Incident Central Lines3 lines

{249, 2407}, {323, 2436}, {477, 842}

▸ Functional Relations4 relations