X2135

ISOGONAL CONJUGATE OF X2134

X2135 is the isogonal conjugate of X2134.
< 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) { 37, 2134 }: Central Line L(37, 2134) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_81 = CEVAPOINT OF INCENTER AND SYMMEDIAN POINT (0.5849, 0.2510) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_2134 = EIGENTRANSFORM OF X(37) (0.5347, 0.1734) X_2135 = ISOGONAL CONJUGATE OF X(2134) (0.5996, 0.2982) A B C X81 X37 X2134 X2135 (a, b, c) = (5, 6, 7) | AB = 1

X2135 (ISOGONAL CONJUGATE OF X2134) 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 \(u : v : w\) = X37
Barycentrics: \(a/f(u,v,w) : b/f(v,w,u) : c/f(w,u,v)\)
Search Value (6, 9, 13): \(0.355363356980\)

X2135 lies on the cubic Z(X37).

▸ Incident Central Lines1 line

{37, 2134}

▸ Functional Relations2 relations