X2790

ISOGONAL CONJUGATE OF X2706

X2790 is the isogonal conjugate of X2706.
< 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) { 25, 98 }: Central Line L(25, 98) { 53, 115 }: Central Line L(53, 115) { 114, 122 }: Central Line L(114, 122) { 30, 511 }: Central Line L(30, 511) { 99, 1294 }: Central Line L(99, 1294) { 147, 1370 }: Central Line L(147, 1370) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2706 = SR(X(98), X(107)) (0.0865, -0.1970) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_98 = TARRY POINT (0.8891, -0.2281) X_53 = SYMMEDIAN POINT OF ORTHIC TRIANGLE (0.6164, 0.4390) X_115 = CENTER OF KIEPERT HYPERBOLA (0.7507, 0.0838) X_114 = KIEPERT ANTIPODE (0.3616, 0.4140) X_122 = -OF-MEDIAL-TRIANGLE (0.5195, -0.0036) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_99 = STEINER POINT (0.1109, 0.4322) X_1294 = COLLINGS TRANSFORM OF X(122) (0.4267, -0.4030) X_147 = TARRY POINT OF ANTICOMPLEMENTARY TRIANGLE (-0.1660, 1.0561) X_1370 = ANTICOMPLEMENT OF X(25) (0.3465, -0.2995) X_2790 = ISOGONAL CONJUGATE OF X(2706) (0.7449, -0.3490) A B C X2706 X25 X98 X53 X115 X114 X122 X30 X511 X99 X1294 X147 X1370 X2790 (a, b, c) = (5, 6, 7) | AB = 1

X2790 (ISOGONAL CONJUGATE OF X2706) 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 X2706
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines9 lines

{3, 1632}, {4, 1942}, {25, 98}, {30, 511}, {53, 115}, {99, 1294}, {114, 122}, {147, 1370}, {157, 1605}

▸ Functional Relations1 relation