X2722

SR(X100, X112)

X2722 = reflection of X112 in line X1X3
< 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) { 2747, 3 }: Central Line L(2747, 3) { 100, 525 }: Central Line L(100, 525) { 112, 513 }: Central Line L(112, 513) { 101, 656 }: Central Line L(101, 656) { 110, 905 }: Central Line L(110, 905) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2747 = SR(X(104), X(112)) (0.0805, -0.1885) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_525 = ISOGONAL CONJUGATE OF X(112) (-0.0468, 0.2556) X_112 = Ψ(ORTHOCENTER, SYMMEDIAN POINT) (0.5162, 0.6121) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_656 = CROSSDIFFERENCE OF X(1) AND X(19) (7.5714, -0.8554) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_905 = POINT ACHERNAR (5.6190, -0.6999) X_2722 = SR(X(100), X(112)) (0.9195, 0.3926) A B C X2747 X3 X100 X525 X112 X513 X101 X656 X110 X905 X2722 (a, b, c) = (5, 6, 7) | AB = 1

X2722 (SR(X100, X112)) 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 = X100, U = X112
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-0.034055761192\)

X2722 lies on the circumcircle.

▸ Incident Central Lines7 lines

{3, 2747}, {100, 525}, {101, 656}, {104, 1503}, {110, 905}, {112, 513}, {517, 1297}

▸ Functional Relations3 relations