X1730

MIMOSA TRANSFORM OF X86

X1730 = X286-Ceva conjugate of X1
< 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) { 6, 57 }: Central Line L(6, 57) { 1, 228 }: Central Line L(1, 228) { 63, 169 }: Central Line L(63, 169) { 40, 405 }: Central Line L(40, 405) { 2, 573 }: Central Line L(2, 573) { 28, 580 }: Central Line L(28, 580) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_286 = -CROSS CONJUGATE OF X(27) (0.6033, 0.3810) X_1 = INCENTER (0.5714, 0.2333) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_228 = -CEVA CONJUGATE OF X(71) (0.5231, 0.1126) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_169 = -CEVA CONJUGATE OF X(1) (0.5497, 0.2510) X_40 = BEVAN POINT (0.4286, -0.0292) X_405 = EULER LINE INTERCEPT OF LINE X(1)X(6) (0.5325, 0.1870) X_2 = CENTROID (0.5374, 0.2000) X_573 = ORTHOHARMONIC OF X(58) (0.4583, 0.2009) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_580 = ORTHOGONAL OF X(284) (0.7089, 0.4470) X_1730 = MIMOSA TRANSFORM OF X(86) (0.6546, 0.4410) A B C X286 X1 X6 X57 X228 X63 X169 X40 X405 X2 X573 X28 X580 X1730 (a, b, c) = (5, 6, 7) | AB = 1

X1730 (MIMOSA TRANSFORM OF X86) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X86
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-1.200150515821\)
▸ Incident Central Lines19 lines

{1, 228}, {2, 573}, {4, 1715}, {6, 57}, {19, 1708}, {25, 1754}, {27, 1746}, {28, 580}, {40, 405}, {46, 1707}, {51, 851}, {63, 169}, {165, 1011}, {278, 1020}, {572, 1817}, {1709, 1889}, {1735, 1905}, {1736, 1824}, {1786, 1787}

▸ Functional Relations2 relations