X2387

ISOGONAL CONJUGATE OF X2367

As the isogonal conjugate of a point on the circumcircle, X2387 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) { 32, 184 }: Central Line L(32, 184) { 30, 511 }: Central Line L(30, 511) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2367 = CIR(X(32)) (0.7086, -0.3637) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_184 = INVERSE OF X(125) IN THE BROCARD CIRCLE (0.5788, 0.1496) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_2387 = ISOGONAL CONJUGATE OF X(2367) (0.6246, 0.4244) A B C X2367 X32 X184 X30 X511 X2387 (a, b, c) = (5, 6, 7) | AB = 1

X2387 (ISOGONAL CONJUGATE OF X2367) 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 \(U : V : W\) = X2367
Barycentrics: \(a/U : b/V : c/W\)
▸ Incident Central Lines2 lines

{30, 511}, {32, 184}

▸ Functional Relations1 relation