X2726

SR(X101, X106)

X2726 = reflection of X2737 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) { 2737, 3 }: Central Line L(2737, 3) { 109, 238 }: Central Line L(109, 238) { 108, 242 }: Central Line L(108, 242) { 101, 519 }: Central Line L(101, 519) { 106, 514 }: Central Line L(106, 514) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2737 = SR(X(103), X(106)) (0.9169, -0.1922) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_242 = -LINE CONJUGATE OF X(71) (0.7507, 0.7161) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_519 = ISOGONAL CONJUGATE OF X(106) (0.9566, 0.6107) X_106 = Λ(INCENTER, CENTROID) (1.0000, 0.0000) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_2726 = SR(X(101), X(106)) (0.0831, 0.3963) A B C X2737 X3 X109 X238 X108 X242 X101 X519 X106 X514 X2726 (a, b, c) = (5, 6, 7) | AB = 1

X2726 (SR(X101, X106)) 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 = X106
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(6.365374846381\)

X2726 lies on the circumcircle.

▸ Incident Central Lines17 lines

{2, 901}, {3, 2737}, {9, 813}, {25, 1309}, {99, 859}, {101, 519}, {104, 667}, {106, 514}, {108, 242}, {109, 238}, {392, 2703}, {516, 1293}, {898, 956}, {934, 1447}, {1016, 1145}, {1083, 2742}, {1397, 2720}

▸ Functional Relations3 relations