X2791

ISOGONAL CONJUGATE OF X2707

X2791 is the isogonal conjugate of X2707.
< 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) { 98, 108 }: Central Line L(98, 108) { 114, 123 }: Central Line L(114, 123) { 30, 511 }: Central Line L(30, 511) { 99, 1295 }: Central Line L(99, 1295) { 115, 1865 }: Central Line L(115, 1865) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2707 = SR(X(98), X(108)) (0.0635, -0.1624) X_98 = TARRY POINT (0.8891, -0.2281) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_114 = KIEPERT ANTIPODE (0.3616, 0.4140) X_123 = -OF-MEDIAL-TRIANGLE (0.5401, -0.0057) 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_1295 = COLLINGS TRANSFORM OF X(123) (0.4680, -0.4072) X_115 = CENTER OF KIEPERT HYPERBOLA (0.7507, 0.0838) X_1865 = ZOSMA TRANSFORM OF X(284) (0.6133, 0.4068) X_2791 = ISOGONAL CONJUGATE OF X(2707) (0.7671, -0.3401) A B C X2707 X98 X108 X114 X123 X30 X511 X99 X1295 X115 X1865 X2791 (a, b, c) = (5, 6, 7) | AB = 1

X2791 (ISOGONAL CONJUGATE OF X2707) 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 X2707
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines5 lines

{30, 511}, {98, 108}, {99, 1295}, {114, 123}, {115, 1865}

▸ Functional Relations1 relation