X2728

SR(X101, X108)

X2728 = reflection of X2739 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) { 2739, 3 }: Central Line L(2739, 3) { 101, 521 }: Central Line L(101, 521) { 108, 514 }: Central Line L(108, 514) { 109, 905 }: Central Line L(109, 905) { 516, 1295 }: Central Line L(516, 1295) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2739 = SR(X(103), X(108)) (0.1510, -0.2702) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_521 = ISOGONAL CONJUGATE OF X(108) (1.1224, 0.1534) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_905 = POINT ACHERNAR (5.6190, -0.6999) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_1295 = COLLINGS TRANSFORM OF X(123) (0.4680, -0.4072) X_2728 = SR(X(101), X(108)) (0.8490, 0.4743) A B C X2739 X3 X101 X521 X108 X514 X109 X905 X516 X1295 X2728 (a, b, c) = (5, 6, 7) | AB = 1

X2728 (SR(X101, X108)) 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 = X108
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(0.616615483830\)

X2728 lies on the circumcircle.

▸ Incident Central Lines7 lines

{3, 2739}, {101, 521}, {108, 514}, {109, 905}, {516, 1295}, {997, 2745}, {1012, 2716}

▸ Functional Relations2 relations