X2710

SR(X98, X112)

X2710 = reflection of X2715 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) { 2715, 3 }: Central Line L(2715, 3) { 107, 297 }: Central Line L(107, 297) { 98, 525 }: Central Line L(98, 525) { 112, 511 }: Central Line L(112, 511) { 99, 1503 }: Central Line L(99, 1503) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2715 = SR(X(99), X(112)) (0.9444, 0.3528) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_107 = Ψ(SYMMEDIAN POINT, ORTHOCENTER) (0.5733, 0.6071) X_297 = -HIRST INVERSE OF X(4) (0.8440, 1.0022) X_98 = TARRY POINT (0.8891, -0.2281) X_525 = ISOGONAL CONJUGATE OF X(112) (-0.0468, 0.2556) X_112 = Ψ(ORTHOCENTER, SYMMEDIAN POINT) (0.5162, 0.6121) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_99 = STEINER POINT (0.1109, 0.4322) X_1503 = POINT ARKAB (0.4818, -0.3843) X_2710 = SR(X(98), X(112)) (0.0556, -0.1487) A B C X2715 X3 X107 X297 X98 X525 X112 X511 X99 X1503 X2710 (a, b, c) = (5, 6, 7) | AB = 1

X2710 (SR(X98, 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 = X98, U = X112
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(13.922312696392\)

X2710 lies on the circumcircle.

▸ Incident Central Lines8 lines

{3, 2715}, {98, 525}, {99, 1503}, {107, 297}, {112, 511}, {512, 1297}, {691, 1350}, {935, 1352}

▸ Functional Relations2 relations