X1771

MIMOSA TRANSFORM OF X947

< 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, 3 }: OI Line (Incenter–Circumcenter Line) { 4, 109 }: Central Line L(4, 109) { 10, 255 }: Central Line L(10, 255) { 515, 603 }: Central Line L(515, 603) { 31, 1210 }: Central Line L(31, 1210) { 601, 950 }: Central Line L(601, 950) 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_3 = CIRCUMCENTER (0.5000, 0.1021) X_4 = ORTHOCENTER (0.6122, 0.3958) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_255 = ISOGONAL CONJUGATE OF X(158) (0.4217, 0.0365) X_515 = ISOGONAL CONJUGATE OF X(102) (0.6804, 0.7691) X_603 = -CEVA CONJUGATE OF X(56) (0.5992, 0.1851) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_1210 = ISOGONAL CONJUGATE OF X(1167) (0.6144, 0.2754) X_601 = INTERSECTION OF LINES X(3)X(31) AND X(55)X(255) (0.5761, 0.2252) X_950 = CROSSPOINT OF X(8) AND X(29) (0.5621, 0.1961) X_1771 = MIMOSA TRANSFORM OF X(947) (0.6455, 0.3693) A B C X1 X3 X4 X109 X10 X255 X515 X603 X31 X1210 X601 X950 X1771 (a, b, c) = (5, 6, 7) | AB = 1

X1771 (MIMOSA TRANSFORM OF X947) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X947
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(2.699854312323\)
▸ Incident Central Lines13 lines

{1, 3}, {4, 109}, {10, 255}, {31, 1210}, {515, 603}, {516, 1076}, {580, 1788}, {601, 950}, {920, 1736}, {1399, 1837}, {1707, 1728}, {1720, 1721}, {1770, 1785}