X1777

MIMOSA TRANSFORM OF X1167

< 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, 84 }: Central Line L(1, 84) { 4, 109 }: Central Line L(4, 109) { 255, 516 }: Central Line L(255, 516) { 226, 601 }: Central Line L(226, 601) { 36, 1044 }: Central Line L(36, 1044) { 90, 1041 }: Central Line L(90, 1041) 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_84 = ISOGONAL CONJUGATE OF X(40) (0.6071, 0.6816) X_4 = ORTHOCENTER (0.6122, 0.3958) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_255 = ISOGONAL CONJUGATE OF X(158) (0.4217, 0.0365) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_226 = -CEVA CONJUGATE OF X(65) (0.5778, 0.2588) X_601 = INTERSECTION OF LINES X(3)X(31) AND X(55)X(255) (0.5761, 0.2252) X_36 = INVERSE-IN-CIRCUMCIRCLE OF INCENTER (1.3333, 1.6330) X_1044 = -CEVA CONJUGATE OF X(1) (0.8041, 0.7716) X_90 = -CROSS CONJUGATE OF X(1) (0.1022, 0.0201) X_1041 = ISOGONAL CONJUGATE OF X(1040) (0.6147, 0.4401) X_1777 = MIMOSA TRANSFORM OF X(1167) (0.5860, 0.4166) A B C X1 X84 X4 X109 X255 X516 X226 X601 X36 X1044 X90 X1041 X1777 (a, b, c) = (5, 6, 7) | AB = 1

X1777 (MIMOSA TRANSFORM OF X1167) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X1167
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-1.196889978673\)
▸ Incident Central Lines14 lines

{1, 84}, {4, 109}, {34, 1158}, {35, 1742}, {36, 1044}, {46, 1707}, {47, 1754}, {90, 1041}, {226, 601}, {255, 516}, {603, 946}, {608, 1765}, {1046, 1710}, {1399, 1836}