X2893

ANTICOMPLEMENTARY CONJUGATE OF X63

X2893 = anticomplement of X284
< A B C >: Reference Triangle △ABC < K_a K_b K_c >: Anticomplementary Triangle △K_a K_b K_c [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 2, 284 }: Central Line L(2, 284) { 4, 69 }: Central Line L(4, 69) { 75, 150 }: Central Line L(75, 150) { 2, 272 }: Central Line L(2, 272) { 72, 319 }: Central Line L(72, 319) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) K_a = Anticomplementary Vertex K_a (1.6122, 0.5999) K_b = Anticomplementary Vertex K_b (-0.3878, 0.5999) K_c = Anticomplementary Vertex K_c (0.3878, -0.5999) X_2 = CENTROID (0.5374, 0.2000) X_284 = -CROSS CONJUGATE OF X(21) (0.5646, 0.2088) X_4 = ORTHOCENTER (0.6122, 0.3958) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_150 = REFLECTION OF X(20) IN X(103) (1.1837, -0.4499) X_272 = ISOGONAL CONJUGATE OF X(209) (-0.2458, -0.0534) X_72 = ISOGONAL CONJUGATE OF X(28) (0.4367, 0.0733) X_319 = ISOTOMIC CONJUGATE OF X(79) (0.4549, 0.1161) X_2893 = ANTICOMPLEMENTARY CONJUGATE OF X(63) (0.4830, 0.1824) A B C Ka Kb Kc X2 X284 X4 X69 X75 X150 X272 X72 X319 X2893 (a, b, c) = (5, 6, 7) | AB = 1

X2893 (ANTICOMPLEMENTARY CONJUGATE OF X63) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where f(a,b,c) is as described just before X2883
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(3.366325117689\)
▸ Incident Central Lines16 lines

{2, 272}, {4, 69}, {7, 2475}, {8, 2897}, {9, 1654}, {72, 319}, {75, 150}, {77, 2000}, {86, 442}, {226, 1943}, {322, 355}, {325, 332}, {329, 2895}, {333, 440}, {524, 1901}, {857, 2287}

▸ Functional Relations3 relations