X2869

ISOGONAL CONJUGATE OF X2855

X2869 is the isogonal conjugate of X2855.
< 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) { 30, 511 }: Central Line L(30, 511) { 351, 878 }: Central Line L(351, 878) { 6, 2510 }: Central Line L(6, 2510) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2855 = SM(X(74), X(98)) (0.5971, -0.3989) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_351 = CENTER OF THE PARRY CIRCLE (1.3537, 1.1619) X_878 = ISOGONAL CONJUGATE OF X(877) (1.1192, 0.0431) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_2510 = RADICAL CENTER OF {NINE-POINT, BROCARD, MOSES} CIRCLES (0.4995, -0.2121) X_2869 = ISOGONAL CONJUGATE OF X(2855) (0.4170, -0.3744) A B C X2855 X30 X511 X351 X878 X6 X2510 X2869 (a, b, c) = (5, 6, 7) | AB = 1

X2869 (ISOGONAL CONJUGATE OF X2855) 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 X2855
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines3 lines

{6, 2510}, {30, 511}, {351, 878}

▸ Functional Relations1 relation