X1273

ISOTOMIC CONJUGATE OF X1141

X1273 is the isotomic conjugate of X1141.
< 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, 231 }: Central Line L(2, 231) { 54, 69 }: Central Line L(54, 69) { 5, 311 }: Central Line L(5, 311) { 93, 264 }: Central Line L(93, 264) { 186, 340 }: Central Line L(186, 340) 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_231 = -CEVA CONJUGATE OF X(128) (1.0375, 0.6458) X_54 = KOSNITA POINT (0.5880, 0.2176) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_311 = ISOTOMIC CONJUGATE OF X(54) (0.4818, 0.1803) X_93 = ISOGONAL CONJUGATE OF X(49) (0.5299, 0.2878) X_264 = ISOTOMIC CONJUGATE OF CIRCUMCENTER (0.5720, 0.3293) X_186 = INVERSE-IN-CIRCUMCIRCLE OF X(4) (0.7957, 0.8758) X_340 = ISOTOMIC CONJUGATE OF X(265) (1.2317, 1.4188) X_1273 = ISOTOMIC CONJUGATE OF X(1141) (-0.4628, -0.6917) A B C Ka Kb Kc X2 X231 X54 X69 X5 X311 X93 X264 X186 X340 X1273 (a, b, c) = (5, 6, 7) | AB = 1

X1273 (ISOTOMIC CONJUGATE OF X1141) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/(a^{2}f(a,b,c)) : 1/(b^{2}f(b,c,a)) : 1/(c^{2}f(c,a,b))\), where f(a,b,c) is as in X1141)
Search Value (6, 9, 13): \(12.007678521158\)
▸ Incident Central Lines7 lines

{2, 231}, {5, 311}, {54, 69}, {93, 264}, {186, 340}, {325, 523}, {1232, 1238}

▸ Functional Relations3 relations