X2328

X2-ISOCONJUGATE OF X1427

X2328 = X220-cross conjugate of X2287
< 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, 21 }: Central Line L(1, 21) { 10, 29 }: Central Line L(10, 29) { 9, 33 }: Central Line L(9, 33) { 3, 64 }: Central Line L(3, 64) { 28, 40 }: Central Line L(28, 40) { 103, 110 }: Central Line L(103, 110) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_29 = CEVAPOINT OF INCENTER AND ORTHOCENTER (0.5903, 0.3384) X_9 = MITTENPUNKT (0.5110, 0.1615) X_33 = PERSPECTOR OF THE ORTHIC AND INTANGENTS TRIANGLES (0.6019, 0.3546) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_64 = ISOGONAL CONJUGATE OF X(20) (0.5579, 1.5943) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_40 = BEVAN POINT (0.4286, -0.0292) X_103 = ANTIPODE OF X(101) (0.7857, -0.3208) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_2328 = -ISOCONJUGATE OF X(1427) (0.5015, 0.1414) A B C X1 X21 X10 X29 X9 X33 X3 X64 X28 X40 X103 X110 X2328 (a, b, c) = (5, 6, 7) | AB = 1

X2328 (X2-ISOCONJUGATE OF X1427) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((1 + \cos A)/(\cos B + \cos C) : :\)
Search Value (6, 9, 13): \(3.711592548003\)
▸ Incident Central Lines35 lines

{1, 21}, {2, 1754}, {3, 64}, {9, 33}, {10, 29}, {25, 573}, {27, 516}, {28, 40}, {35, 1819}, {55, 219}, {71, 1474}, {101, 228}, {103, 110}, {109, 1214}, {165, 1817}, {184, 572}, {199, 1495}, {200, 1253}, {210, 2341}, {220, 1260}, {268, 2192}, {333, 643}, {387, 452}, {394, 991}, {405, 580}, {440, 1503}, {461, 966}, {501, 1800}, {902, 2206}, {963, 1437}, {1043, 1098}, {1167, 1785}, {1333, 2256}, {1412, 1617}, {1778, 2257}

▸ Functional Relations6 relations