X2851

ISOGONAL CONJUGATE OF X2767

X2851 is the isogonal conjugate of X2767.
< 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) { 108, 111 }: Central Line L(108, 111) { 123, 126 }: Central Line L(123, 126) { 30, 511 }: Central Line L(30, 511) { 1295, 1296 }: Central Line L(1295, 1296) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2767 = SR(X(108), X(111)) (-0.0057, 0.0335) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_111 = PARRY POINT (0.9885, -0.0457) X_123 = -OF-MEDIAL-TRIANGLE (0.5401, -0.0057) X_126 = -OF-MEDIAL-TRIANGLE (0.3119, 0.3228) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_1295 = COLLINGS TRANSFORM OF X(123) (0.4680, -0.4072) X_1296 = COLLINGS TRANSFORM OF X(126) (0.0115, 0.2498) X_2851 = ISOGONAL CONJUGATE OF X(2767) (0.2026, 0.6819) A B C X2767 X108 X111 X123 X126 X30 X511 X1295 X1296 X2851 (a, b, c) = (5, 6, 7) | AB = 1

X2851 (ISOGONAL CONJUGATE OF X2767) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/f(a,b,c) : 1/f(b,c,a) : 1/f(c,a,b)\), where f(a,b,c) is as at X2767
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines4 lines

{30, 511}, {108, 111}, {123, 126}, {1295, 1296}

▸ Functional Relations1 relation