X637

ANTICOMPLEMENT OF X371

X637 is the anticomplement of X371.
< 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, 371 }: Central Line L(2, 371) { 4, 69 }: Central Line L(4, 69) { 3, 489 }: Central Line L(3, 489) { 5, 491 }: Central Line L(5, 491) { 20, 488 }: Central Line L(20, 488) 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_371 = KENMOTU POINT (CONGRUENT SQUARES POINT) (0.5652, 0.2097) X_4 = ORTHOCENTER (0.6122, 0.3958) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_489 = CEVAPOINT OF X(20) AND X(487) (0.4404, 0.3605) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_491 = CEVAPOINT OF X(2) AND X(487) (0.7449, 0.4229) X_20 = DE LONGCHAMPS POINT (0.3878, -0.1916) X_488 = ANTICOMPLEMENT OF X(485) (0.4576, 0.0844) X_637 = ANTICOMPLEMENT OF X(371) (0.4819, 0.1805) A B C Ka Kb Kc X2 X371 X4 X69 X3 X489 X5 X491 X20 X488 X637 (a, b, c) = (5, 6, 7) | AB = 1

X637 (ANTICOMPLEMENT OF X371) 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 \(f(a,b,c) = (S_{B}S_{C} + 2S_{A} \operatorname{area})/a\)
Barycentrics: \(g(a,b,c) : g(b,c,a) : g(c,a,b)\), where \(g(a,b,c) = af(a,b,c)\)
Search Value (6, 9, 13): \(3.022985510576\)
▸ Incident Central Lines6 lines

{2, 371}, {3, 489}, {4, 69}, {5, 491}, {20, 488}, {30, 490}

▸ Functional Relations3 relations