X1446

X349-BETH CONJUGATE OF X349

X1446 = X226-cross conjugate of X1441
< 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) { 4, 7 }: Central Line L(4, 7) { 2, 85 }: Central Line L(2, 85) { 10, 307 }: Central Line L(10, 307) { 57, 379 }: Central Line L(57, 379) { 321, 349 }: Central Line L(321, 349) { 98, 934 }: Central Line L(98, 934) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_349 = ISOTOMIC CONJUGATE OF X(284) (0.5089, 0.1906) X_4 = ORTHOCENTER (0.6122, 0.3958) X_7 = GERGONNE POINT (0.5903, 0.2769) X_2 = CENTROID (0.5374, 0.2000) X_85 = ISOTOMIC CONJUGATE OF X(9) (0.5610, 0.2421) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_307 = ISOTOMIC CONJUGATE OF X(29) (0.4659, 0.0959) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_379 = EULER LINE INTERCEPT OF LINE X(6)X(7) (0.5733, 0.2937) X_321 = ISOTOMIC CONJUGATE OF X(81) (0.4800, 0.1527) X_98 = TARRY POINT (0.8891, -0.2281) X_934 = -CROSS CONJUGATE OF X(57) (0.4269, 0.6071) X_1446 = -BETH CONJUGATE OF X(349) (0.5951, 0.3031) A B C X349 X4 X7 X2 X85 X10 X307 X57 X379 X321 X98 X934 X1446 (a, b, c) = (5, 6, 7) | AB = 1

X1446 (X349-BETH CONJUGATE OF X349) 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 \(f(a,b,c) = (1 - \cos A)u(a,b,c)\), where \(u : v : w\) = X349
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(0.348818267610\)
▸ Incident Central Lines12 lines

{2, 85}, {4, 7}, {10, 307}, {57, 379}, {76, 1229}, {98, 934}, {169, 1445}, {226, 857}, {294, 1170}, {321, 349}, {658, 1434}, {1111, 1210}

▸ Functional Relations5 relations