X2737

SR(X103, X106)

X2737 = reflection of X2726 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) { 2726, 3 }: Central Line L(2726, 3) { 103, 519 }: Central Line L(103, 519) { 106, 516 }: Central Line L(106, 516) { 376, 953 }: Central Line L(376, 953) { 514, 1293 }: Central Line L(514, 1293) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2726 = SR(X(101), X(106)) (0.0831, 0.3963) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_103 = ANTIPODE OF X(101) (0.7857, -0.3208) X_519 = ISOGONAL CONJUGATE OF X(106) (0.9566, 0.6107) X_106 = Λ(INCENTER, CENTROID) (1.0000, 0.0000) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_376 = CENTROID OF THE ANTIPEDAL TRIANGLE OF X(2) (0.4626, 0.0042) X_953 = ISOGONAL CONJUGATE OF X(952) (0.0000, 0.2041) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_1293 = COLLINGS TRANSFORM OF X(121) (0.0000, 0.2041) X_2737 = SR(X(103), X(106)) (0.9169, -0.1922) A B C X2726 X3 X103 X519 X106 X516 X376 X953 X514 X1293 X2737 (a, b, c) = (5, 6, 7) | AB = 1

X2737 (SR(X103, 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 = X103, U = X106
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(7.199350942012\)

X2737 lies on the circumcircle.

▸ Incident Central Lines6 lines

{3, 2726}, {103, 519}, {106, 516}, {376, 953}, {514, 1293}, {901, 2398}

▸ Functional Relations2 relations