X2850

ISOGONAL CONJUGATE OF X2766

X2850 is the isogonal conjugate of X2766.
< 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) { 108, 110 }: Central Line L(108, 110) { 123, 125 }: Central Line L(123, 125) { 30, 511 }: Central Line L(30, 511) { 74, 1295 }: Central Line L(74, 1295) { 895, 1814 }: Central Line L(895, 1814) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1290 = COLLINGS TRANSFORM OF X(36) (1.0092, 0.1355) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_123 = -OF-MEDIAL-TRIANGLE (0.5401, -0.0057) X_125 = CENTER OF JERABEK HYPERBOLA (0.6803, 0.0260) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_74 = ISOGONAL CONJUGATE OF EULER INFINITY POINT (0.7484, -0.3437) X_1295 = COLLINGS TRANSFORM OF X(123) (0.4680, -0.4072) X_895 = ISOGONAL CONJUGATE OF X(468) (0.9484, -0.0134) X_1814 = INVERSE MIMOSA TRANSFORM OF X(672) (0.8952, -0.0254) X_2850 = ISOGONAL CONJUGATE OF X(2766) (1.1098, 0.3296) A B C X1290 X3 X108 X110 X123 X125 X30 X511 X74 X1295 X895 X1814 X2850 (a, b, c) = (5, 6, 7) | AB = 1

X2850 (ISOGONAL CONJUGATE OF X2766) 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 X2766
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines5 lines

{30, 511}, {74, 1295}, {108, 110}, {123, 125}, {895, 1814}

▸ Functional Relations4 relations