X3170

X6-CEVA CONJUGATE OF X15

X3170 = X6-Ceva conjugate of X15
< 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) { 16, 184 }: Central Line L(16, 184) { 15, 323 }: Central Line L(15, 323) { 202, 2308 }: Central Line L(202, 2308) { 1994, 2005 }: Central Line L(1994, 2005) { 32, 3171 }: Central Line L(32, 3171) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_15 = 1st ISODYNAMIC POINT (0.5519, 0.1878) X_16 = 2nd ISODYNAMIC POINT (1.8453, 2.3239) X_184 = INVERSE OF X(125) IN THE BROCARD CIRCLE (0.5788, 0.1496) X_323 = ISOTOMIC CONJUGATE OF X(94) (-0.8839, -1.3275) X_202 = -CEVA CONJUGATE OF X(15) (0.5962, 0.2697) X_2308 = -ISOCONJUGATE OF X(1255) (0.6059, 0.2758) X_1994 = ORTHOCORRESPONDENT OF X(5) (0.6334, 0.3031) X_2005 = ORTHOCORRESPONDENT OF X(62) (0.4874, 0.2417) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_3171 = -CEVA CONJUGATE OF X(16) (0.4050, 0.3969) X_3170 = -CEVA CONJUGATE OF X(15) (0.6796, 0.3225) A B C X6 X15 X16 X184 X323 X202 X2308 X1994 X2005 X32 X3171 X3170 (a, b, c) = (5, 6, 7) | AB = 1

X3170 (X6-CEVA CONJUGATE OF X15) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(u(-u/x + v/y + w/z) : v(u/x - v/y + w/z) : w(u/x + v/y - w/z)\), where \(x : y : z\) = X6 and \(u : v : w\) = X15
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\), where \(f(a,b,c) = u(-u/x + v/y + w/z)\)
Search Value (6, 9, 13): \(-9.587032073204\)
▸ Incident Central Lines5 lines

{15, 323}, {16, 184}, {32, 3171}, {202, 2308}, {1994, 2005}

▸ Functional Relations1 relation