X2732

SR(X102, X107)

X2732 = reflection of X2762 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) { 2762, 3 }: Central Line L(2762, 3) { 102, 520 }: Central Line L(102, 520) { 107, 515 }: Central Line L(107, 515) { 522, 1294 }: Central Line L(522, 1294) { 1304, 2360 }: Central Line L(1304, 2360) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2762 = SR(X(107), X(109)) (0.6741, 0.5818) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_102 = Λ(INCENTER, ORTHOCENTER) (0.6364, -0.3897) X_520 = ISOGONAL CONJUGATE OF X(107) (-0.0490, 0.2227) X_107 = Ψ(SYMMEDIAN POINT, ORTHOCENTER) (0.5733, 0.6071) X_515 = ISOGONAL CONJUGATE OF X(102) (0.6804, 0.7691) X_522 = ISOGONAL CONJUGATE OF X(109) (-0.0318, 0.3430) X_1294 = COLLINGS TRANSFORM OF X(122) (0.4267, -0.4030) X_1304 = COLLINGS TRANSFORM OF X(403) (0.7822, 0.5273) X_2360 = -ISOCONJUGATE OF X(1903) (0.4943, -0.0436) X_2732 = SR(X(102), X(107)) (0.3259, -0.3776) A B C X2762 X3 X102 X520 X107 X515 X522 X1294 X1304 X2360 X2732 (a, b, c) = (5, 6, 7) | AB = 1

X2732 (SR(X102, 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 = X102, U = X107
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(12.150927021484\)

X2732 lies on the circumcircle.

▸ Incident Central Lines5 lines

{3, 2762}, {102, 520}, {107, 515}, {522, 1294}, {1304, 2360}

▸ Functional Relations2 relations