X2875

ISOGONAL CONJUGATE OF X2861

X2875 is the isogonal conjugate of X2861.
< 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) { 55, 184 }: Central Line L(55, 184) { 30, 511 }: Central Line L(30, 511) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2861 = SM(X(100), X(104)) (-0.0062, 0.0373) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_184 = INVERSE OF X(125) IN THE BROCARD CIRCLE (0.5788, 0.1496) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_2875 = ISOGONAL CONJUGATE OF X(2861) (0.2008, 0.6807) A B C X2861 X55 X184 X30 X511 X2875 (a, b, c) = (5, 6, 7) | AB = 1

X2875 (ISOGONAL CONJUGATE OF X2861) 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 X2861
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines2 lines

{30, 511}, {55, 184}

▸ Functional Relations1 relation