X2888

ANTICOMPLEMENTARY CONJUGATE OF X3

X2888 = anticomplement of X54
< A B C >: Reference Triangle △ABC [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 2, 54 }: Central Line L(2, 54) { 4, 93 }: Central Line L(4, 93) { 5, 195 }: Central Line L(5, 195) { 128, 252 }: Central Line L(128, 252) { 193, 576 }: Central Line L(193, 576) { 69, 1225 }: Central Line L(69, 1225) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3432 = -VERTEX CONJUGATE OF X(5) (0.6629, 0.2913) X_2 = CENTROID (0.5374, 0.2000) X_54 = KOSNITA POINT (0.5880, 0.2176) X_4 = ORTHOCENTER (0.6122, 0.3958) X_93 = ISOGONAL CONJUGATE OF X(49) (0.5299, 0.2878) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_195 = -CEVA CONJUGATE OF X(3) (0.6761, 0.3331) X_128 = -OF-ORTHIC-TRIANGLE (0.3310, 0.3690) X_252 = ISOGONAL CONJUGATE OF X(143) (0.4565, 0.1253) X_193 = -CEVA CONJUGATE OF X(2) (0.7878, 0.4690) X_576 = ORTHOHARMONIC OF X(187) (0.6500, 0.3498) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_1225 = ISOTOMIC CONJUGATE OF X(1166) (0.4279, 0.1305) X_2888 = ANTICOMPLEMENTARY CONJUGATE OF X(3) (0.4361, 0.1647) A B C X3432 X2 X54 X4 X93 X5 X195 X128 X252 X193 X576 X69 X1225 X2888 (a, b, c) = (5, 6, 7) | AB = 1

X2888 (ANTICOMPLEMENTARY CONJUGATE OF X3) 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: \(a^{10} - 3 a^{8} (b^{2} + c^{2}) + a^{6} (4 b^{4} + 5 b^{2} c^{2} + 4 c^{4}) - 2 a^{4} (2 b^{6} + b^{4} c^{2} + b^{2} c^{4} + 2 c^{6}) + 3 a^{2} (b^{8} - b^{6} c^{2} - b^{2} c^{6} + c^{8}) - (b^{2} - c^{2})^{4} (b^{2} + c^{2}) : :\)
Search Value (6, 9, 13): \(20.263624482404\)
▸ Incident Central Lines9 lines

{2, 54}, {4, 93}, {5, 195}, {69, 1225}, {128, 252}, {193, 576}, {323, 1594}, {343, 1601}, {2904, 2914}

▸ Functional Relations7 relations