X2725

SR(X101, X105)

X2729 = reflection of X2736 in X3
< 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) { 2736, 3 }: Central Line L(2736, 3) { 109, 241 }: Central Line L(109, 241) { 101, 518 }: Central Line L(101, 518) { 105, 514 }: Central Line L(105, 514) { 1, 919 }: Central Line L(1, 919) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2736 = SR(X(103), X(105)) (0.9653, -0.1075) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_241 = -LINE CONJUGATE OF X(55) (1.1217, 1.2442) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_518 = ISOGONAL CONJUGATE OF X(105) (0.9154, 0.6489) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_1 = INCENTER (0.5714, 0.2333) X_919 = ISOGONAL CONJUGATE OF X(918) (1.0058, 0.1699) X_2725 = SR(X(101), X(105)) (0.0347, 0.3116) A B C X2736 X3 X109 X241 X101 X518 X105 X514 X1 X919 X2725 (a, b, c) = (5, 6, 7) | AB = 1

X2725 (SR(X101, X105)) 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 = X101, U = X105
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(9.626589552794\)

X2725 lies on the circumcircle.

▸ Incident Central Lines9 lines

{1, 919}, {3, 2736}, {85, 927}, {101, 518}, {105, 514}, {109, 241}, {516, 1292}, {813, 1083}, {1001, 1308}

▸ Functional Relations3 relations