X2688

SR(X74, X101)

X2688 = reflection of X2690 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) { 2690, 3 }: Central Line L(2690, 3) { 30, 101 }: Central Line L(30, 101) { 74, 514 }: Central Line L(74, 514) { 103, 523 }: Central Line L(103, 523) { 110, 516 }: Central Line L(110, 516) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2690 = SR(X(74), X(103)) (0.9949, 0.2266) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_74 = ISOGONAL CONJUGATE OF EULER INFINITY POINT (0.7484, -0.3437) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_103 = ANTIPODE OF X(101) (0.7857, -0.3208) X_523 = ISOGONAL CONJUGATE OF X(110) (1.0856, -0.0096) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_2688 = SR(X(74), X(101)) (0.0051, -0.0224) A B C X2690 X3 X30 X101 X74 X514 X103 X523 X110 X516 X2688 (a, b, c) = (5, 6, 7) | AB = 1

X2688 (SR(X74, X101)) 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 = X74, U = X101
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(13.819695611487\)

X2688 lies on the circumcircle.

▸ Incident Central Lines9 lines

{3, 2690}, {27, 1304}, {30, 101}, {74, 514}, {103, 523}, {107, 2073}, {110, 516}, {112, 1886}, {1305, 2071}

▸ Functional Relations3 relations