X2133

ISOGONAL CONJUGATE OF X2132

X2133 is the isogonal conjugate of X2132.
< 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) { 30, 2132 }: Central Line L(30, 2132) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2132 = EIGENTRANSFORM OF X(30) (1.2703, 0.4856) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_2133 = ISOGONAL CONJUGATE OF X(2132) (1.3009, 0.5656) A B C X2132 X30 X2133 (a, b, c) = (5, 6, 7) | AB = 1

X2133 (ISOGONAL CONJUGATE OF X2132) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/f(u,v,w) : 1/f(v,w,u) : 1/f(w,u,v)\), where f is as given just before X2120 and \(u : v : w\) = X30
Barycentrics: \(a/f(u,v,w) : b/f(v,w,u) : c/f(w,u,v)\)
Search Value (6, 9, 13): \(7.854905623525\)

X2133 lies on the Neuberg cubic (K001).

▸ Incident Central Lines1 line

{30, 2132}

▸ Functional Relations3 relations