X2897

ANTICOMPLEMENTARY CONJUGATE OF X92

X2897 = anticomplement of X1172
< 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, 1172 }: Central Line L(2, 1172) { 20, 64 }: Central Line L(20, 64) { 153, 322 }: Central Line L(153, 322) { 145, 347 }: Central Line L(145, 347) { 8, 2893 }: Central Line L(8, 2893) 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_1172 = 1st SARAGOSSA POINT OF X(48) (0.6100, 0.3717) X_20 = DE LONGCHAMPS POINT (0.3878, -0.1916) X_64 = ISOGONAL CONJUGATE OF X(20) (0.5579, 1.5943) X_153 = REFLECTION OF X(20) IN X(100) (-0.1020, 1.1248) X_322 = ISOTOMIC CONJUGATE OF X(84) (0.3430, -0.0168) X_145 = ANTICOMPLEMENT OF NAGEL POINT (0.6735, 0.3333) X_347 = ISOTOMIC CONJUGATE OF X(280) (0.4531, -0.0404) X_8 = NAGEL POINT (0.4694, 0.1333) X_2893 = ANTICOMPLEMENTARY CONJUGATE OF X(63) (0.4830, 0.1824) X_2897 = ANTICOMPLEMENTARY CONJUGATE OF X(92) (0.3923, -0.1435) A B C Ka Kb Kc X2 X1172 X20 X64 X153 X322 X145 X347 X8 X2893 X2897 (a, b, c) = (5, 6, 7) | AB = 1

X2897 (ANTICOMPLEMENTARY CONJUGATE OF X92) 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): \(-4.848141162257\)
▸ Incident Central Lines10 lines

{2, 1172}, {8, 2893}, {20, 64}, {75, 2894}, {144, 2895}, {145, 347}, {153, 322}, {857, 2322}, {1441, 2475}, {1444, 2071}

▸ Functional Relations3 relations