X2392

ISOGONAL CONJUGATE OF X2372

As the isogonal conjugate of a point on the circumcircle, X2392 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) { 36, 58 }: Central Line L(36, 58) { 30, 511 }: Central Line L(30, 511) { 484, 1046 }: Central Line L(484, 1046) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2372 = CIR(X(58)) (0.8524, -0.2670) X_36 = INVERSE-IN-CIRCUMCIRCLE OF INCENTER (1.3333, 1.6330) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_484 = 1st EVANS PERSPECTOR (2.0952, 3.0327) X_1046 = -CEVA CONJUGATE OF X(1) (0.6500, 0.3366) X_2392 = ISOGONAL CONJUGATE OF X(2372) (0.6246, 0.4244) A B C X2372 X36 X58 X30 X511 X484 X1046 X2392 (a, b, c) = (5, 6, 7) | AB = 1

X2392 (ISOGONAL CONJUGATE OF X2372) 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 \(U : V : W\) = X2372
Barycentrics: \(a/U : b/V : c/W\)
▸ Incident Central Lines3 lines

{30, 511}, {36, 58}, {484, 1046}

▸ Functional Relations1 relation