X3759

X3662com[T(-bc, b²)]

X3759 = complement of X17373
< 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) { 6, 75 }: Central Line L(6, 75) { 44, 192 }: Central Line L(44, 192) { 2, 319 }: Central Line L(2, 319) { 145, 344 }: Central Line L(145, 344) { 193, 320 }: Central Line L(193, 320) { 1, 872 }: Central Line L(1, 872) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_192 = -CEVA CONJUGATE OF X(2) (CONGRUENT PARALLELIANS POINT) (0.6147, 0.2635) X_2 = CENTROID (0.5374, 0.2000) X_319 = ISOTOMIC CONJUGATE OF X(79) (0.4549, 0.1161) X_145 = ANTICOMPLEMENT OF NAGEL POINT (0.6735, 0.3333) X_344 = ISOTOMIC CONJUGATE OF X(277) (0.6218, 0.2693) X_193 = -CEVA CONJUGATE OF X(2) (0.7878, 0.4690) X_320 = ISOTOMIC CONJUGATE OF X(80) (-2.6735, -3.5993) X_1 = INCENTER (0.5714, 0.2333) X_872 = INTERSECTION OF LINES X(37)X(42) AND X(43)X(75) (0.6029, 0.2656) X_3759 = com[T(-bc, b2)] (0.6959, 0.3610) A B C X6 X75 X44 X192 X2 X319 X145 X344 X193 X320 X1 X872 X3759 (a, b, c) = (5, 6, 7) | AB = 1

X3759 (X3662com[T(-bc, b²)]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(-2a^{2} + bc : -2b^{2} + ca : -2c^{2} + ab\)
Search Value (6, 9, 13): \(-1.098962188811\)
▸ Incident Central Lines25 lines

{1, 872}, {2, 319}, {6, 75}, {7, 1992}, {8, 1386}, {43, 1964}, {44, 192}, {86, 1449}, {87, 2234}, {145, 344}, {190, 1743}, {193, 320}, {256, 751}, {273, 648}, {291, 749}, {312, 3187}, {524, 3662}, {594, 597}, {604, 662}, {664, 1445}, {1043, 1453}, {1086, 3629}, {1740, 3248}, {1760, 2082}, {3589, 3661}

▸ Functional Relations3 relations