X2759

SR(X106, X111)

X2759 = isogonal conjugate of X2843
< 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, 524 }: Central Line L(106, 524) { 111, 519 }: Central Line L(111, 519) { 1293, 1499 }: Central Line L(1293, 1499) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2843 = ISOGONAL CONJUGATE OF X(2759) (0.6812, 0.7689) X_106 = Λ(INCENTER, CENTROID) (1.0000, 0.0000) X_524 = ISOGONAL CONJUGATE OF X(111) (0.1376, -0.2297) X_111 = PARRY POINT (0.9885, -0.0457) X_519 = ISOGONAL CONJUGATE OF X(106) (0.9566, 0.6107) X_1293 = COLLINGS TRANSFORM OF X(121) (0.0000, 0.2041) X_1499 = POINT BIHAM (0.1078, 0.5997) X_2759 = SR(X(106), X(111)) (0.6377, -0.3893) A B C X2843 X106 X524 X111 X519 X1293 X1499 X2759 (a, b, c) = (5, 6, 7) | AB = 1

X2759 (SR(X106, X111)) 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 = X111
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(14.099121082626\)

X2759 lies on the circumcircle.

▸ Incident Central Lines3 lines

{106, 524}, {111, 519}, {1293, 1499}

▸ Functional Relations1 relation