X1772

MIMOSA TRANSFORM OF X953

< 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) { 34, 46 }: Central Line L(34, 46) { 1, 88 }: Central Line L(1, 88) { 240, 522 }: Central Line L(240, 522) { 3, 1411 }: Central Line L(3, 1411) { 40, 1421 }: Central Line L(40, 1421) { 498, 986 }: Central Line L(498, 986) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_34 = -BETH CONJUGATE OF X(4) (0.6332, 0.4792) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_1 = INCENTER (0.5714, 0.2333) X_88 = ISOGONAL CONJUGATE OF X(44) (1.0000, 0.0000) X_240 = -LINE CONJUGATE OF X(48) (0.7457, 0.8594) X_522 = ISOGONAL CONJUGATE OF X(109) (-0.0318, 0.3430) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_1411 = -BETH CONJUGATE OF X(80) (1.0110, -0.2153) X_40 = BEVAN POINT (0.4286, -0.0292) X_1421 = -BETH CONJUGATE OF X(149) (1.7143, -0.9331) X_498 = YFF CONCURRENT CONGRUENT CIRCLES POINT (0.5518, 0.2140) X_986 = INTERSECTION OF LINES X(1)X(3) AND X(8)X(38) (0.5588, 0.2101) X_1772 = MIMOSA TRANSFORM OF X(953) (-1.7143, 1.4775) A B C X34 X46 X1 X88 X240 X522 X3 X1411 X40 X1421 X498 X986 X1772 (a, b, c) = (5, 6, 7) | AB = 1

X1772 (MIMOSA TRANSFORM OF X953) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X953
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(2.031008152761\)
▸ Incident Central Lines8 lines

{1, 88}, {3, 1411}, {34, 46}, {40, 1421}, {240, 522}, {498, 986}, {920, 1722}, {1068, 1788}