X2892

ANTICOMPLEMENTARY CONJUGATE OF X23

X2892 = anticomplement of X1177
< 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, 1177 }: Central Line L(2, 1177) { 4, 67 }: Central Line L(4, 67) { 66, 193 }: Central Line L(66, 193) { 20, 1632 }: Central Line L(20, 1632) { 1352, 2777 }: Central Line L(1352, 2777) 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_1177 = 1st SARAGOSSA POINT OF X(67) (0.7694, -1.0073) X_4 = ORTHOCENTER (0.6122, 0.3958) X_67 = ISOGONAL CONJUGATE OF X(23) (0.7606, -0.2152) X_66 = ISOGONAL CONJUGATE OF X(22) (0.5912, 1.0593) X_193 = -CEVA CONJUGATE OF X(2) (0.7878, 0.4690) X_20 = DE LONGCHAMPS POINT (0.3878, -0.1916) X_1632 = TCC-PERSPECTOR OF X(648) (0.2937, 0.6477) X_1352 = REFLECTION OF X(6) IN X(5) (0.5122, 0.2306) X_2777 = ISOGONAL CONJUGATE OF X(2693) (0.6437, -0.3772) X_2892 = ANTICOMPLEMENTARY CONJUGATE OF X(23) (0.0734, 2.6144) A B C Ka Kb Kc X2 X1177 X4 X67 X66 X193 X20 X1632 X1352 X2777 X2892 (a, b, c) = (5, 6, 7) | AB = 1

X2892 (ANTICOMPLEMENTARY CONJUGATE OF X23) 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): \(13.208196319858\)
▸ Incident Central Lines6 lines

{2, 1177}, {4, 67}, {20, 1632}, {66, 193}, {1352, 2777}, {1503, 2930}

▸ Functional Relations4 relations