X2878

ISOGONAL CONJUGATE OF X2864

X2878 is the isogonal conjugate of X2864.
< 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) { 163, 692 }: Central Line L(163, 692) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2864 = SM(X(100), X(110)) (0.9627, 0.3173) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_163 = TRILINEAR PRODUCT X(6)*X(110) (0.3174, 0.5883) X_692 = -CEVA CONJUGATE OF X(101) (0.2833, 0.5715) X_2878 = ISOGONAL CONJUGATE OF X(2864) (1.0641, 0.4588) A B C X2864 X30 X511 X163 X692 X2878 (a, b, c) = (5, 6, 7) | AB = 1

X2878 (ISOGONAL CONJUGATE OF X2864) 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 X2864
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines2 lines

{30, 511}, {163, 692}

▸ Functional Relations1 relation