X2847

ISOGONAL CONJUGATE OF X2763

X2847 is the isogonal conjugate of X2763.
< 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) { 107, 111 }: Central Line L(107, 111) { 122, 126 }: Central Line L(122, 126) { 30, 511 }: Central Line L(30, 511) { 1294, 1296 }: Central Line L(1294, 1296) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2763 = SR(X(107), X(111)) (0.0016, -0.0074) X_107 = Ψ(SYMMEDIAN POINT, ORTHOCENTER) (0.5733, 0.6071) X_111 = PARRY POINT (0.9885, -0.0457) X_122 = -OF-MEDIAL-TRIANGLE (0.5195, -0.0036) 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_1294 = COLLINGS TRANSFORM OF X(122) (0.4267, -0.4030) X_1296 = COLLINGS TRANSFORM OF X(126) (0.0115, 0.2498) X_2847 = ISOGONAL CONJUGATE OF X(2763) (0.2225, 0.6952) A B C X2763 X107 X111 X122 X126 X30 X511 X1294 X1296 X2847 (a, b, c) = (5, 6, 7) | AB = 1

X2847 (ISOGONAL CONJUGATE OF X2763) 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 X2763
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines4 lines

{30, 511}, {107, 111}, {122, 126}, {1294, 1296}

▸ Functional Relations1 relation