X2713

SR(X99, X107)

X2713 = reflection of X2706 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) { 2706, 3 }: Central Line L(2706, 3) { 99, 520 }: Central Line L(99, 520) { 107, 512 }: Central Line L(107, 512) { 511, 1294 }: Central Line L(511, 1294) { 74, 1942 }: Central Line L(74, 1942) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2706 = SR(X(98), X(107)) (0.0865, -0.1970) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_99 = STEINER POINT (0.1109, 0.4322) X_520 = ISOGONAL CONJUGATE OF X(107) (-0.0490, 0.2227) X_107 = Ψ(SYMMEDIAN POINT, ORTHOCENTER) (0.5733, 0.6071) X_512 = ISOGONAL CONJUGATE OF X(99) (1.0394, -0.1040) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_1294 = COLLINGS TRANSFORM OF X(122) (0.4267, -0.4030) X_74 = ISOGONAL CONJUGATE OF EULER INFINITY POINT (0.7484, -0.3437) X_1942 = TRILINEAR POLE OF U(17) (0.8014, -0.1046) X_2713 = SR(X(99), X(107)) (0.9135, 0.4011) A B C X2706 X3 X99 X520 X107 X512 X511 X1294 X74 X1942 X2713 (a, b, c) = (5, 6, 7) | AB = 1

X2713 (SR(X99, 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 = X99, U = X107
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-0.575542183861\)

X2713 lies on the circumcircle.

▸ Incident Central Lines6 lines

{3, 2706}, {74, 1942}, {99, 520}, {107, 512}, {477, 2452}, {511, 1294}

▸ Functional Relations3 relations