X2721

SR(X100, X111)

X2721 = reflection of X111 in line X1X3
< 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) { 2746, 3 }: Central Line L(2746, 3) { 100, 524 }: Central Line L(100, 524) { 111, 513 }: Central Line L(111, 513) { 81, 691 }: Central Line L(81, 691) { 101, 896 }: Central Line L(101, 896) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2746 = SR(X(104), X(111)) (0.8892, -0.2279) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_524 = ISOGONAL CONJUGATE OF X(111) (0.1376, -0.2297) X_111 = PARRY POINT (0.9885, -0.0457) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_81 = CEVAPOINT OF INCENTER AND SYMMEDIAN POINT (0.5849, 0.2510) X_691 = TRILINEAR POLE OF LINE X(6)X(110) (1.0101, 0.0886) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_896 = INTERSECTION OF LINES X(1)X(21) AND X(9)X(750) (2.0357, 2.1579) X_2721 = SR(X(100), X(111)) (0.1108, 0.4321) A B C X2746 X3 X100 X524 X111 X513 X81 X691 X101 X896 X2721 (a, b, c) = (5, 6, 7) | AB = 1

X2721 (SR(X100, 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 = X100, U = X111
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(6.026105356013\)

X2721 lies on the circumcircle.

▸ Incident Central Lines7 lines

{3, 2746}, {81, 691}, {100, 524}, {101, 896}, {104, 1499}, {111, 513}, {517, 1296}

▸ Functional Relations3 relations