X2735

SR(X102, X111)

X2735 = reflection of X2768 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) { 2768, 3 }: Central Line L(2768, 3) { 102, 524 }: Central Line L(102, 524) { 111, 515 }: Central Line L(111, 515) { 109, 1499 }: Central Line L(109, 1499) { 522, 1296 }: Central Line L(522, 1296) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2768 = SR(X(109), X(111)) (-0.0003, 0.2027) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_102 = Λ(INCENTER, ORTHOCENTER) (0.6364, -0.3897) X_524 = ISOGONAL CONJUGATE OF X(111) (0.1376, -0.2297) X_111 = PARRY POINT (0.9885, -0.0457) X_515 = ISOGONAL CONJUGATE OF X(102) (0.6804, 0.7691) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_1499 = POINT BIHAM (0.1078, 0.5997) X_522 = ISOGONAL CONJUGATE OF X(109) (-0.0318, 0.3430) X_1296 = COLLINGS TRANSFORM OF X(126) (0.0115, 0.2498) X_2735 = SR(X(102), X(111)) (1.0003, 0.0014) A B C X2768 X3 X102 X524 X111 X515 X109 X1499 X522 X1296 X2735 (a, b, c) = (5, 6, 7) | AB = 1

X2735 (SR(X102, X111)) 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 = X111
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(3.876717554012\)

X2735 lies on the circumcircle.

▸ Incident Central Lines5 lines

{3, 2768}, {102, 524}, {109, 1499}, {111, 515}, {522, 1296}

▸ Functional Relations2 relations