X2336

X2-ISOCONJUGATE OF X1453

< 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) { 34, 37 }: Central Line L(34, 37) { 56, 71 }: Central Line L(56, 71) { 58, 219 }: Central Line L(58, 219) { 86, 345 }: Central Line L(86, 345) { 9, 937 }: Central Line L(9, 937) { 269, 1214 }: Central Line L(269, 1214) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_34 = -BETH CONJUGATE OF X(4) (0.6332, 0.4792) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_219 = -CEVA CONJUGATE OF X(55) (0.4277, 0.0625) X_86 = CEVAPOINT OF INCENTER AND CENTROID (0.5534, 0.2171) X_345 = ISOTOMIC CONJUGATE OF X(278) (0.3405, 0.0381) X_9 = MITTENPUNKT (0.5110, 0.1615) X_937 = ISOGONAL CONJUGATE OF X(936) (0.6143, 0.2920) X_269 = ISOGONAL CONJUGATE OF X(200) (0.6369, 0.3847) X_1214 = ISOGONAL CONJUGATE OF X(1172) (0.5087, 0.1180) X_2336 = -ISOCONJUGATE OF X(1453) (0.5583, 0.2213) A B C X34 X37 X56 X71 X58 X219 X86 X345 X9 X937 X269 X1214 X2336 (a, b, c) = (5, 6, 7) | AB = 1

X2336 (X2-ISOCONJUGATE OF X1453) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\), where f(a,b,c) is as in X1453
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(1.974557839295\)
▸ Incident Central Lines9 lines

{6, 2318}, {9, 937}, {34, 37}, {55, 1474}, {56, 71}, {58, 219}, {86, 345}, {269, 1214}, {1413, 2286}

▸ Functional Relations1 relation