X2430

ISOGONAL CONJUGATE OF X2404

< 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) { 394, 2416 }: Central Line L(394, 2416) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2404 = GIBERT-SIMSON TRANSFORM OF X(107) (0.6429, 0.5943) X_394 = -CEVA CONJUGATE OF X(3) (0.3778, 0.0284) X_2416 = GIBERT-SIMSON TRANSFORM OF X(1294) (-3.3289, -0.0716) X_2430 = ISOGONAL CONJUGATE OF X(2404) (8.8312, 0.2564) A B C X2404 X394 X2416 X2430 (a, b, c) = (5, 6, 7) | AB = 1

X2430 (ISOGONAL CONJUGATE OF X2404) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/f(a,b,c) : 1/f(b,c,a) : 1/f(c,a,b)\), where f(a,b,c) is as given just before X2394
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
Search Value (6, 9, 13): \(-9.756012844374\)

X2430 lies on the cubic K162.

▸ Incident Central Lines1 line

{394, 2416}

▸ Functional Relations2 relations