X2199

X2-ISOCONJUGATE OF X280

X2199 = isogonal conjugate of X34404
< 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) { 25, 31 }: Central Line L(25, 31) { 9, 109 }: Central Line L(9, 109) { 198, 221 }: Central Line L(198, 221) { 6, 603 }: Central Line L(6, 603) { 32, 604 }: Central Line L(32, 604) { 255, 573 }: Central Line L(255, 573) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_9 = MITTENPUNKT (0.5110, 0.1615) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_198 = -CEVA CONJUGATE OF X(6) (0.4741, -0.0381) X_221 = -CEVA CONJUGATE OF X(56) (0.5474, -0.0688) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_603 = -CEVA CONJUGATE OF X(56) (0.5992, 0.1851) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_604 = -CEVA CONJUGATE OF X(31) (0.6442, 0.3744) X_255 = ISOGONAL CONJUGATE OF X(158) (0.4217, 0.0365) X_573 = ORTHOHARMONIC OF X(58) (0.4583, 0.2009) X_2199 = -ISOCONJUGATE OF X(280) (0.5965, -0.0893) A B C X25 X31 X9 X109 X198 X221 X6 X603 X32 X604 X255 X573 X2199 (a, b, c) = (5, 6, 7) | AB = 1

X2199 (X2-ISOCONJUGATE OF X280) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\), where f(a,b,c) is as in X280
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-0.143607745375\)
▸ Incident Central Lines19 lines

{6, 603}, {9, 109}, {25, 31}, {32, 604}, {41, 1409}, {48, 1415}, {198, 221}, {223, 1817}, {255, 573}, {478, 2183}, {651, 1958}, {966, 1935}, {1253, 2197}, {1394, 2270}, {1455, 2262}, {1457, 2178}, {1496, 2269}, {1950, 2268}, {2285, 2312}

▸ Functional Relations5 relations