X2391

ISOGONAL CONJUGATE OF X2371

As the isogonal conjugate of a point on the circumcircle, X2391 lies on the line at infinity.
< 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) { 57, 279 }: Central Line L(57, 279) { 30, 511 }: Central Line L(30, 511) { 910, 1323 }: Central Line L(910, 1323) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2371 = CIR(X(57)) (0.6160, -0.3949) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_279 = ISOGONAL CONJUGATE OF X(220) (0.6236, 0.3540) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_910 = CROSSPOINT OF X(57) AND X(105) (1.3163, 2.5495) X_1323 = FLETCHER POINT (1.0262, 1.2854) X_2391 = ISOGONAL CONJUGATE OF X(2371) (0.6246, 0.4244) A B C X2371 X57 X279 X30 X511 X910 X1323 X2391 (a, b, c) = (5, 6, 7) | AB = 1

X2391 (ISOGONAL CONJUGATE OF X2371) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/U : 1/V : 1/W\), where \(U : V : W\) = X2371
Barycentrics: \(a/U : b/V : c/W\)
▸ Incident Central Lines3 lines

{30, 511}, {57, 279}, {910, 1323}

▸ Functional Relations1 relation