X2736

SR(X103, X105)

X2736 = reflection of X2725 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) { 2725, 3 }: Central Line L(2725, 3) { 103, 518 }: Central Line L(103, 518) { 105, 516 }: Central Line L(105, 516) { 514, 1292 }: Central Line L(514, 1292) { 1323, 2377 }: Central Line L(1323, 2377) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2725 = SR(X(101), X(105)) (0.0347, 0.3116) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_103 = ANTIPODE OF X(101) (0.7857, -0.3208) X_518 = ISOGONAL CONJUGATE OF X(105) (0.9154, 0.6489) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_1292 = COLLINGS TRANSFORM OF X(55) (0.0286, 0.2974) X_1323 = FLETCHER POINT (1.0262, 1.2854) X_2377 = CIR(X(220)) (0.9818, 0.2702) X_2736 = SR(X(103), X(105)) (0.9653, -0.1075) A B C X2725 X3 X103 X518 X105 X516 X514 X1292 X1323 X2377 X2736 (a, b, c) = (5, 6, 7) | AB = 1

X2736 (SR(X103, 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 = X103, U = X105
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(3.938136235599\)

X2736 lies on the circumcircle.

▸ Incident Central Lines5 lines

{3, 2725}, {103, 518}, {105, 516}, {514, 1292}, {1323, 2377}

▸ Functional Relations3 relations