X1785

MIMOSA TRANSFORM OF X1295

X1785 = inverse-in-incircle of X946
< 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) { 1845, 1875 }: Central Line L(1845, 1875) { 1, 4 }: Incenter–Orthocenter Line { 37, 53 }: Central Line L(37, 53) { 36, 108 }: Central Line L(36, 108) { 10, 158 }: Central Line L(10, 158) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1845 = ZOSMA TRANSFORM OF X(80) (0.5417, 0.5181) X_1875 = ZOSMA TRANSFORM OF X(515) (0.6357, 0.6908) X_1 = INCENTER (0.5714, 0.2333) X_4 = ORTHOCENTER (0.6122, 0.3958) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_53 = SYMMEDIAN POINT OF ORTHIC TRIANGLE (0.6164, 0.4390) X_36 = INVERSE-IN-CIRCUMCIRCLE OF INCENTER (1.3333, 1.6330) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_158 = -CROSS CONJUGATE OF X(92) (0.6215, 0.5117) X_1785 = MIMOSA TRANSFORM OF X(1295) (0.7297, 0.8635) A B C X1845 X1875 X1 X4 X37 X53 X36 X108 X10 X158 X1785 (a, b, c) = (5, 6, 7) | AB = 1

X1785 (MIMOSA TRANSFORM OF X1295) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((\sec A) (\cos B + \cos C - 1) : :\)
Search Value (6, 9, 13): \(1.181378016911\)
▸ Incident Central Lines28 lines

{1, 4}, {2, 1074}, {9, 393}, {10, 158}, {20, 1076}, {25, 1324}, {36, 108}, {37, 53}, {40, 1118}, {46, 208}, {65, 1872}, {106, 1309}, {240, 522}, {406, 498}, {407, 1844}, {475, 499}, {517, 1361}, {519, 1897}, {942, 1887}, {1210, 1895}, {1249, 1743}, {1465, 1532}, {1712, 1714}, {1770, 1771}, {1783, 1886}, {1824, 1894}, {1830, 1835}, {1867, 1904}

▸ Functional Relations9 relations