X1433

X271-BETH CONJUGATE OF X271

X1433 = X92-isoconjugate of X198
< 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) { 1, 84 }: Central Line L(1, 84) { 29, 81 }: Central Line L(29, 81) { 56, 102 }: Central Line L(56, 102) { 6, 282 }: Central Line L(6, 282) { 78, 271 }: Central Line L(78, 271) { 145, 280 }: Central Line L(145, 280) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_271 = ISOGONAL CONJUGATE OF X(208) (1.1546, 2.8606) X_1 = INCENTER (0.5714, 0.2333) X_84 = ISOGONAL CONJUGATE OF X(40) (0.6071, 0.6816) X_29 = CEVAPOINT OF INCENTER AND ORTHOCENTER (0.5903, 0.3384) X_81 = CEVAPOINT OF INCENTER AND SYMMEDIAN POINT (0.5849, 0.2510) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_102 = Λ(INCENTER, ORTHOCENTER) (0.6364, -0.3897) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_282 = -CROSS CONJUGATE OF X(9) (0.6199, 0.7507) X_78 = ISOGONAL CONJUGATE OF X(34) (0.3835, 0.0491) X_145 = ANTICOMPLEMENT OF NAGEL POINT (0.6735, 0.3333) X_280 = -CROSS CONJUGATE OF X(8) (0.6379, 0.8041) X_1433 = -BETH CONJUGATE OF X(271) (0.6277, 0.9396) A B C X271 X1 X84 X29 X81 X56 X102 X6 X282 X78 X145 X280 X1433 (a, b, c) = (5, 6, 7) | AB = 1

X1433 (X271-BETH CONJUGATE OF X271) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((\cos A)/(\cos B + \cos C - \cos A - 1) : :\)
Search Value (6, 9, 13): \(1.939766434884\)
▸ Incident Central Lines10 lines

{1, 84}, {6, 282}, {29, 81}, {55, 947}, {56, 102}, {78, 271}, {145, 280}, {219, 255}, {284, 1436}, {945, 999}

▸ Functional Relations5 relations