X2894

ANTICOMPLEMENTARY CONJUGATE OF X72

X2894 = anticomplement of X943
< 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, 943 }: Central Line L(2, 943) { 4, 144 }: Central Line L(4, 144) { 21, 149 }: Central Line L(21, 149) { 145, 377 }: Central Line L(145, 377) { 673, 2481 }: Central Line L(673, 2481) 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_943 = ISOGONAL CONJUGATE OF X(942) (0.5528, 0.2043) X_4 = ORTHOCENTER (0.6122, 0.3958) X_144 = ANTICOMPLEMENT OF X(7) (0.4317, 0.0461) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_149 = REFLECTION OF X(20) IN X(104) (1.3265, -0.3333) X_145 = ANTICOMPLEMENT OF NAGEL POINT (0.6735, 0.3333) X_377 = EULER LINE INTERCEPT OF LINE X(7)X(8) (0.5473, 0.2258) X_673 = TRILINEAR POLE OF LINE X(1)X(514) (0.9471, -0.0769) X_2481 = INTERSECTION(FEUERBACH HYPERBOLA, STEINER CIRCUMELLIPSE) (0.9225, -0.0635) X_2894 = ANTICOMPLEMENTARY CONJUGATE OF X(72) (0.5066, 0.1912) A B C Ka Kb Kc X2 X943 X4 X144 X21 X149 X145 X377 X673 X2481 X2894 (a, b, c) = (5, 6, 7) | AB = 1

X2894 (ANTICOMPLEMENTARY CONJUGATE OF X72) 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): \(3.281979339200\)
▸ Incident Central Lines6 lines

{2, 943}, {4, 144}, {21, 149}, {75, 2897}, {145, 377}, {673, 2481}

▸ Functional Relations2 relations