X2754

SR(X105, X112)

X2754 = isogonal conjugate of X2838
< 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) { 105, 525 }: Central Line L(105, 525) { 112, 518 }: Central Line L(112, 518) { 72, 919 }: Central Line L(72, 919) { 927, 1231 }: Central Line L(927, 1231) { 1292, 1503 }: Central Line L(1292, 1503) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2838 = ISOGONAL CONJUGATE OF X(2754) (0.8556, -0.2931) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_525 = ISOGONAL CONJUGATE OF X(112) (-0.0468, 0.2556) X_112 = Ψ(ORTHOCENTER, SYMMEDIAN POINT) (0.5162, 0.6121) X_518 = ISOGONAL CONJUGATE OF X(105) (0.9154, 0.6489) X_72 = ISOGONAL CONJUGATE OF X(28) (0.4367, 0.0733) X_919 = ISOGONAL CONJUGATE OF X(918) (1.0058, 0.1699) X_927 = ISOGONAL CONJUGATE OF X(926) (1.0037, 0.1836) X_1231 = ISOTOMIC CONJUGATE OF X(1172) (0.4217, 0.0767) X_1292 = COLLINGS TRANSFORM OF X(55) (0.0286, 0.2974) X_1503 = POINT ARKAB (0.4818, -0.3843) X_2754 = SR(X(105), X(112)) (0.0002, -0.0008) A B C X2838 X105 X525 X112 X518 X72 X919 X927 X1231 X1292 X1503 X2754 (a, b, c) = (5, 6, 7) | AB = 1

X2754 (SR(X105, X112)) 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) is as given just before X2677 using P = X105, U = X112
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(12.066079786878\)
▸ Incident Central Lines5 lines

{72, 919}, {105, 525}, {112, 518}, {927, 1231}, {1292, 1503}

▸ Functional Relations1 relation