X2706

SR(X98, X107)

X2706 = reflection of X2713 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) { 2713, 3 }: Central Line L(2713, 3) { 107, 450 }: Central Line L(107, 450) { 98, 520 }: Central Line L(98, 520) { 512, 1294 }: Central Line L(512, 1294) { 577, 2715 }: Central Line L(577, 2715) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2713 = SR(X(99), X(107)) (0.9135, 0.4011) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_107 = Ψ(SYMMEDIAN POINT, ORTHOCENTER) (0.5733, 0.6071) X_450 = -HIRST INVERSE OF X(4) (0.8978, 1.1430) X_98 = TARRY POINT (0.8891, -0.2281) X_520 = ISOGONAL CONJUGATE OF X(107) (-0.0490, 0.2227) X_512 = ISOGONAL CONJUGATE OF X(99) (1.0394, -0.1040) X_1294 = COLLINGS TRANSFORM OF X(122) (0.4267, -0.4030) X_577 = HARMONIC OF X(216) (0.4663, 0.0464) X_2715 = SR(X(99), X(112)) (0.9444, 0.3528) X_2706 = SR(X(98), X(107)) (0.0865, -0.1970) A B C X2713 X3 X107 X450 X98 X520 X512 X1294 X577 X2715 X2706 (a, b, c) = (5, 6, 7) | AB = 1

X2706 (SR(X98, X107)) 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 = X107
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(14.140267972254\)

X2706 lies on the circumcircle.

▸ Incident Central Lines5 lines

{3, 2713}, {98, 520}, {107, 450}, {512, 1294}, {577, 2715}

▸ Functional Relations2 relations