X1736

MIMOSA TRANSFORM OF X103

X1736 = crosssum of X31 and X910
< 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, 6 }: Incenter–Symmedian Line { 240, 522 }: Central Line L(240, 522) { 10, 774 }: Central Line L(10, 774) { 90, 1041 }: Central Line L(90, 1041) { 201, 950 }: Central Line L(201, 950) { 241, 971 }: Central Line L(241, 971) 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_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_240 = -LINE CONJUGATE OF X(48) (0.7457, 0.8594) X_522 = ISOGONAL CONJUGATE OF X(109) (-0.0318, 0.3430) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_774 = CROSSPOINT OF X(1) AND X(158) (0.6363, 0.3186) X_90 = -CROSS CONJUGATE OF X(1) (0.1022, 0.0201) X_1041 = ISOGONAL CONJUGATE OF X(1040) (0.6147, 0.4401) X_201 = -CEVA CONJUGATE OF X(12) (0.4897, 0.1062) X_950 = CROSSPOINT OF X(8) AND X(29) (0.5621, 0.1961) X_241 = -LINE CONJUGATE OF X(55) (1.1217, 1.2442) X_971 = INTERSECTION OF LINES X(3)X(9) AND X(4)X(7) (0.6441, 0.7770) X_1736 = MIMOSA TRANSFORM OF X(103) (1.0370, 0.7863) A B C X1 X6 X240 X522 X10 X774 X90 X1041 X201 X950 X241 X971 X1736 (a, b, c) = (5, 6, 7) | AB = 1

X1736 (MIMOSA TRANSFORM OF X103) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X103
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(0.767219748074\)
▸ Incident Central Lines17 lines

{1, 6}, {10, 774}, {25, 1726}, {33, 1708}, {46, 1721}, {90, 1041}, {109, 1776}, {201, 950}, {240, 522}, {241, 971}, {307, 1210}, {920, 1771}, {990, 1445}, {1020, 1876}, {1214, 1864}, {1715, 1872}, {1730, 1824}

▸ Functional Relations1 relation