X3758

X3661com[T(bc, b²)]

X3758 = complement of X4741
< 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) { 2, 44 }: Central Line L(2, 44) { 6, 75 }: Central Line L(6, 75) { 9, 86 }: Central Line L(9, 86) { 1, 190 }: Central Line L(1, 190) { 81, 312 }: Central Line L(81, 312) { 193, 319 }: Central Line L(193, 319) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2 = CENTROID (0.5374, 0.2000) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_9 = MITTENPUNKT (0.5110, 0.1615) X_86 = CEVAPOINT OF INCENTER AND CENTROID (0.5534, 0.2171) X_1 = INCENTER (0.5714, 0.2333) X_190 = YFF PARABOLIC POINT (0.0748, 0.3999) X_81 = CEVAPOINT OF INCENTER AND SYMMEDIAN POINT (0.5849, 0.2510) X_312 = ISOTOMIC CONJUGATE OF X(57) (0.4256, 0.1081) X_193 = -CEVA CONJUGATE OF X(2) (0.7878, 0.4690) X_319 = ISOTOMIC CONJUGATE OF X(79) (0.4549, 0.1161) X_3758 = com[T(bc, b2)] (0.5669, 0.2348) A B C X2 X44 X6 X75 X9 X86 X1 X190 X81 X312 X193 X319 X3758 (a, b, c) = (5, 6, 7) | AB = 1

X3758 (X3661com[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): \(1.815897814057\)
▸ Incident Central Lines26 lines

{1, 190}, {2, 44}, {6, 75}, {7, 3618}, {8, 1992}, {9, 86}, {41, 662}, {43, 2234}, {81, 312}, {83, 3673}, {85, 651}, {87, 1964}, {192, 1100}, {193, 319}, {256, 749}, {291, 751}, {318, 648}, {524, 3661}, {594, 3629}, {597, 1086}, {645, 1509}, {750, 3570}, {872, 1740}, {1449, 3644}, {1760, 2285}, {3589, 3662}

▸ Functional Relations3 relations