X2125

ISOGONAL CONJUGATE OF X2124

X2125 is the isogonal conjugate of X2124.
< 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) { 165, 220 }: Central Line L(165, 220) { 9, 2124 }: Central Line L(9, 2124) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_9 = MITTENPUNKT (0.5110, 0.1615) X_165 = CENTROID OF THE EXCENTRAL TRIANGLE (0.4762, 0.0583) X_220 = -CEVA CONJUGATE OF X(55) (0.4826, 0.1278) X_2124 = EIGENTRANSFORM OF X(9) (0.4700, -0.3153) X_2125 = ISOGONAL CONJUGATE OF X(2124) (0.8481, 4.0845) A B C X57 X9 X165 X220 X2124 X2125 (a, b, c) = (5, 6, 7) | AB = 1

X2125 (ISOGONAL CONJUGATE OF X2124) 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 \(u : v : w\) = X9
Barycentrics: \(a/f(u,v,w) : b/f(v,w,u) : c/f(w,u,v)\)
Search Value (6, 9, 13): \(4.665948228162\)

X2125 lies on the cubic K351.

▸ Incident Central Lines2 lines

{9, 2124}, {165, 220}

▸ Functional Relations2 relations