X1731

MIMOSA TRANSFORM OF X88

X1731 = crosspoint of X21 and X88
< 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) { 8, 9 }: Central Line L(8, 9) { 19, 46 }: Central Line L(19, 46) { 44, 517 }: Central Line L(44, 517) { 243, 522 }: Central Line L(243, 522) { 63, 1266 }: Central Line L(63, 1266) { 92, 1751 }: Central Line L(92, 1751) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_88 = ISOGONAL CONJUGATE OF X(44) (1.0000, 0.0000) X_8 = NAGEL POINT (0.4694, 0.1333) X_9 = MITTENPUNKT (0.5110, 0.1615) X_19 = CLAWSON POINT (0.6246, 0.4244) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_243 = -LINE CONJUGATE OF X(73) (0.7516, 0.9505) X_522 = ISOGONAL CONJUGATE OF X(109) (-0.0318, 0.3430) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_1266 = ISOTOMIC CONJUGATE OF X(1120) (2.8367, 1.7996) X_92 = CEVAPOINT OF INCENTER AND CLAWSON POINT (0.5949, 0.3639) X_1751 = MIMOSA TRANSFORM OF X(272) (-0.2166, -0.0439) X_1731 = MIMOSA TRANSFORM OF X(88) (1.4252, 0.7812) A B C X21 X88 X8 X9 X19 X46 X44 X517 X243 X522 X63 X1266 X92 X1751 X1731 (a, b, c) = (5, 6, 7) | AB = 1

X1731 (MIMOSA TRANSFORM OF X88) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X88
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-0.876759179855\)
▸ Incident Central Lines7 lines

{8, 9}, {19, 46}, {44, 517}, {63, 1266}, {92, 1751}, {243, 522}, {580, 1871}

▸ Functional Relations2 relations