X2889

ANTICOMPLEMENTARY CONJUGATE OF X5

< 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, 1173 }: Central Line L(2, 1173) { 182, 193 }: Central Line L(182, 193) 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_1173 = 1st SARAGOSSA POINT OF X(54) (0.6043, 0.2952) X_182 = MIDPOINT OF BROCARD DIAMETER (0.5500, 0.1846) X_193 = -CEVA CONJUGATE OF X(2) (0.7878, 0.4690) X_2889 = ANTICOMPLEMENTARY CONJUGATE OF X(5) (0.4036, 0.0095) A B C Ka Kb Kc X2 X1173 X182 X193 X2889 (a, b, c) = (5, 6, 7) | AB = 1

X2889 (ANTICOMPLEMENTARY CONJUGATE OF X5) 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): \(7.853644561270\)
▸ Incident Central Lines2 lines

{2, 1173}, {182, 193}

▸ Functional Relations3 relations