X2768

SR(X109, X111)

X2768 = reflection of X2735 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) { 2735, 3 }: Central Line L(2735, 3) { 109, 524 }: Central Line L(109, 524) { 111, 522 }: Central Line L(111, 522) { 333, 691 }: Central Line L(333, 691) { 102, 1499 }: Central Line L(102, 1499) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2735 = SR(X(102), X(111)) (1.0003, 0.0014) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_524 = ISOGONAL CONJUGATE OF X(111) (0.1376, -0.2297) X_111 = PARRY POINT (0.9885, -0.0457) X_522 = ISOGONAL CONJUGATE OF X(109) (-0.0318, 0.3430) X_333 = CEVAPOINT OF X(8) AND X(9) (0.4886, 0.1475) X_691 = TRILINEAR POLE OF LINE X(6)X(110) (1.0101, 0.0886) X_102 = Λ(INCENTER, ORTHOCENTER) (0.6364, -0.3897) X_1499 = POINT BIHAM (0.1078, 0.5997) X_2768 = SR(X(109), X(111)) (-0.0003, 0.2027) A B C X2735 X3 X109 X524 X111 X522 X333 X691 X102 X1499 X2768 (a, b, c) = (5, 6, 7) | AB = 1

X2768 (SR(X109, 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 = X109, U = X111
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(9.688008234381\)

X2768 lies on the circumcircle.

▸ Incident Central Lines6 lines

{3, 2735}, {102, 1499}, {109, 524}, {111, 522}, {333, 691}, {515, 1296}

▸ Functional Relations2 relations