X2142

EIGENTRANSFORM OF X512

X2142 = X512-Ceva conjugate of X99
< 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) { 512, 2143 }: Central Line L(512, 2143) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_512 = ISOGONAL CONJUGATE OF X(99) (1.0394, -0.1040) X_99 = STEINER POINT (0.1109, 0.4322) X_2143 = ISOGONAL CONJUGATE OF X(2142) (-0.0295, -0.1959) X_2142 = EIGENTRANSFORM OF X(512) (1.4413, -1.0865) A B C X512 X99 X2143 X2142 (a, b, c) = (5, 6, 7) | AB = 1

X2142 (EIGENTRANSFORM OF X512) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(u,v,w) : f(v,w,u) : f(w,u,v)\), where f is as given just before X2120 and \(u : v : w\) = X512
Barycentrics: \(af(u,v,w) : bf(v,w,u) : cf(w,u,v)\)
Search Value (6, 9, 13): \(-0.226833253168\)

X2142 lies on the 1st equal-areas cubic (K021).

▸ Incident Central Lines1 line

{512, 2143}

▸ Functional Relations2 relations