X2755

SR(X106, X107)

X2755 = isogonal conjugate of X2839
< 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, 520 }: Central Line L(106, 520) { 107, 519 }: Central Line L(107, 519) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2839 = ISOGONAL CONJUGATE OF X(2755) (0.8749, -0.2802) X_106 = Λ(INCENTER, CENTROID) (1.0000, 0.0000) X_520 = ISOGONAL CONJUGATE OF X(107) (-0.0490, 0.2227) X_107 = Ψ(SYMMEDIAN POINT, ORTHOCENTER) (0.5733, 0.6071) X_519 = ISOGONAL CONJUGATE OF X(106) (0.9566, 0.6107) X_2755 = SR(X(106), X(107)) (-0.0064, 0.0390) A B C X2839 X106 X520 X107 X519 X2755 (a, b, c) = (5, 6, 7) | AB = 1

X2755 (SR(X106, X107)) 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 = X106, U = X107
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(8.218046050187\)

X2755 lies on the circumcircle.

▸ Incident Central Lines2 lines

{106, 520}, {107, 519}

▸ Functional Relations1 relation