X2839

ISOGONAL CONJUGATE OF X2755

X2839 is the isogonal conjugate of X2755.
< 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) { 106, 107 }: Central Line L(106, 107) { 121, 122 }: Central Line L(121, 122) { 30, 511 }: Central Line L(30, 511) { 1293, 1294 }: Central Line L(1293, 1294) { 1054, 1714 }: Central Line L(1054, 1714) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2755 = SR(X(106), X(107)) (-0.0064, 0.0390) X_106 = Λ(INCENTER, CENTROID) (1.0000, 0.0000) X_107 = Ψ(SYMMEDIAN POINT, ORTHOCENTER) (0.5733, 0.6071) X_121 = -OF-MEDIAL-TRIANGLE (0.3061, 0.2999) X_122 = -OF-MEDIAL-TRIANGLE (0.5195, -0.0036) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_1293 = COLLINGS TRANSFORM OF X(121) (0.0000, 0.2041) X_1294 = COLLINGS TRANSFORM OF X(122) (0.4267, -0.4030) X_1054 = 6th SHARYGIN POINT (1.4286, -0.2333) X_1714 = MIMOSA TRANSFORM OF X(28) (0.8848, 0.5404) X_2839 = ISOGONAL CONJUGATE OF X(2755) (-2252906.6831, 3205546.7534) A B C X2755 X106 X107 X121 X122 X30 X511 X1293 X1294 X1054 X1714 X2839 (a, b, c) = (5, 6, 7) | AB = 1

X2839 (ISOGONAL CONJUGATE OF X2755) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/f(a,b,c) : 1/f(b,c,a) : 1/f(c,a,b)\), where f(a,b,c) is as at X2755
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines5 lines

{30, 511}, {106, 107}, {121, 122}, {1054, 1714}, {1293, 1294}

▸ Functional Relations1 relation