X2788

ISOGONAL CONJUGATE OF X2704

X2788 is the isogonal conjugate of X2704.
< 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, 105 }: Central Line L(98, 105) { 114, 120 }: Central Line L(114, 120) { 30, 511 }: Central Line L(30, 511) { 99, 1292 }: Central Line L(99, 1292) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2704 = SR(X(98), X(105)) (0.8916, -0.2251) X_98 = TARRY POINT (0.8891, -0.2281) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_114 = KIEPERT ANTIPODE (0.3616, 0.4140) X_120 = -OF-MEDIAL-TRIANGLE (0.3204, 0.3466) 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_1292 = COLLINGS TRANSFORM OF X(55) (0.0286, 0.2974) X_2788 = ISOGONAL CONJUGATE OF X(2704) (0.2315, -0.3009) A B C X2704 X98 X105 X114 X120 X30 X511 X99 X1292 X2788 (a, b, c) = (5, 6, 7) | AB = 1

X2788 (ISOGONAL CONJUGATE OF X2704) 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 X2704
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines4 lines

{30, 511}, {98, 105}, {99, 1292}, {114, 120}

▸ Functional Relations1 relation