X2388

ISOGONAL CONJUGATE OF X2368

As the isogonal conjugate of a point on the circumcircle, X2388 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) { 42, 213 }: Central Line L(42, 213) { 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_2368 = CIR(X(42)) (0.9485, -0.1414) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_213 = -CEVA CONJUGATE OF X(42) (0.6135, 0.2833) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_2388 = ISOGONAL CONJUGATE OF X(2368) (0.6246, 0.4244) A B C X2368 X42 X213 X30 X511 X2388 (a, b, c) = (5, 6, 7) | AB = 1

X2388 (ISOGONAL CONJUGATE OF X2368) 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 \(U : V : W\) = X2368
Barycentrics: \(a/U : b/V : c/W\)
▸ Incident Central Lines2 lines

{30, 511}, {42, 213}

▸ Functional Relations1 relation