X2830

ISOGONAL CONJUGATE OF X2746

X2830 is the isogonal conjugate of X2746.
< 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) { 104, 111 }: Central Line L(104, 111) { 119, 126 }: Central Line L(119, 126) { 30, 511 }: Central Line L(30, 511) { 100, 1296 }: Central Line L(100, 1296) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2746 = SR(X(104), X(111)) (0.8892, -0.2279) X_104 = ANTIPODE OF X(100) (0.8571, -0.2624) X_111 = PARRY POINT (0.9885, -0.0457) X_119 = FEUERBACH ANTIPODE (0.3776, 0.4312) 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_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_1296 = COLLINGS TRANSFORM OF X(126) (0.0115, 0.2498) X_2830 = ISOGONAL CONJUGATE OF X(2746) (0.8415, 0.7019) A B C X2746 X104 X111 X119 X126 X30 X511 X100 X1296 X2830 (a, b, c) = (5, 6, 7) | AB = 1

X2830 (ISOGONAL CONJUGATE OF X2746) 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 X2746
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines4 lines

{30, 511}, {100, 1296}, {104, 111}, {119, 126}

▸ Functional Relations1 relation