X2730

SR(X102, X105)

X2730 = reflection of X2751 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) { 2751, 3 }: Central Line L(2751, 3) { 102, 518 }: Central Line L(102, 518) { 105, 515 }: Central Line L(105, 515) { 522, 1292 }: Central Line L(522, 1292) { 1785, 2376 }: Central Line L(1785, 2376) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2751 = SR(X(105), X(109)) (-0.0078, 0.1527) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_102 = Λ(INCENTER, ORTHOCENTER) (0.6364, -0.3897) X_518 = ISOGONAL CONJUGATE OF X(105) (0.9154, 0.6489) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_515 = ISOGONAL CONJUGATE OF X(102) (0.6804, 0.7691) X_522 = ISOGONAL CONJUGATE OF X(109) (-0.0318, 0.3430) X_1292 = COLLINGS TRANSFORM OF X(55) (0.0286, 0.2974) X_1785 = MIMOSA TRANSFORM OF X(1295) (0.7297, 0.8635) X_2376 = CIR(X(219)) (0.8702, 0.4533) X_2730 = SR(X(102), X(105)) (1.0078, 0.0514) A B C X2751 X3 X102 X518 X105 X515 X522 X1292 X1785 X2376 X2730 (a, b, c) = (5, 6, 7) | AB = 1

X2730 (SR(X102, X105)) 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 = X105
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(2.180784113760\)

X2730 lies on the circumcircle.

▸ Incident Central Lines5 lines

{3, 2751}, {102, 518}, {105, 515}, {522, 1292}, {1785, 2376}

▸ Functional Relations2 relations