X2837

ISOGONAL CONJUGATE OF X2753

X2837 is the isogonal conjugate of X2753.
< 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) { 105, 111 }: Central Line L(105, 111) { 120, 126 }: Central Line L(120, 126) { 30, 511 }: Central Line L(30, 511) { 1292, 1296 }: Central Line L(1292, 1296) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2753 = SR(X(105), X(111)) (0.7288, -0.3541) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_111 = PARRY POINT (0.9885, -0.0457) X_120 = -OF-MEDIAL-TRIANGLE (0.3204, 0.3466) 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_1292 = COLLINGS TRANSFORM OF X(55) (0.0286, 0.2974) X_1296 = COLLINGS TRANSFORM OF X(126) (0.0115, 0.2498) X_2837 = ISOGONAL CONJUGATE OF X(2753) (0.3399, -0.3527) A B C X2753 X105 X111 X120 X126 X30 X511 X1292 X1296 X2837 (a, b, c) = (5, 6, 7) | AB = 1

X2837 (ISOGONAL CONJUGATE OF X2753) 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 X2753
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines4 lines

{30, 511}, {105, 111}, {120, 126}, {1292, 1296}

▸ Functional Relations1 relation