X2789

ISOGONAL CONJUGATE OF X2705

X2789 is the isogonal conjugate of X2705.
< 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, 106 }: Central Line L(98, 106) { 114, 121 }: Central Line L(114, 121) { 30, 511 }: Central Line L(30, 511) { 99, 1293 }: Central Line L(99, 1293) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2705 = SR(X(98), X(106)) (0.8222, -0.2937) X_98 = TARRY POINT (0.8891, -0.2281) X_106 = Λ(INCENTER, CENTROID) (1.0000, 0.0000) X_114 = KIEPERT ANTIPODE (0.3616, 0.4140) X_121 = -OF-MEDIAL-TRIANGLE (0.3061, 0.2999) 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_1293 = COLLINGS TRANSFORM OF X(121) (0.0000, 0.2041) X_2789 = ISOGONAL CONJUGATE OF X(2705) (0.2808, -0.3278) A B C X2705 X98 X106 X114 X121 X30 X511 X99 X1293 X2789 (a, b, c) = (5, 6, 7) | AB = 1

X2789 (ISOGONAL CONJUGATE OF X2705) 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 X2705
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines4 lines

{30, 511}, {98, 106}, {99, 1293}, {114, 121}

▸ Functional Relations1 relation