X2729

SR(X101, X111)

X2729 = reflection of X2740 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) { 2740, 3 }: Central Line L(2740, 3) { 101, 524 }: Central Line L(101, 524) { 111, 514 }: Central Line L(111, 514) { 86, 691 }: Central Line L(86, 691) { 103, 1499 }: Central Line L(103, 1499) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2740 = SR(X(103), X(111)) (0.9423, -0.1525) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_524 = ISOGONAL CONJUGATE OF X(111) (0.1376, -0.2297) X_111 = PARRY POINT (0.9885, -0.0457) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_86 = CEVAPOINT OF INCENTER AND CENTROID (0.5534, 0.2171) X_691 = TRILINEAR POLE OF LINE X(6)X(110) (1.0101, 0.0886) X_103 = ANTIPODE OF X(101) (0.7857, -0.3208) X_1499 = POINT BIHAM (0.1078, 0.5997) X_2729 = SR(X(101), X(111)) (0.0577, 0.3566) A B C X2740 X3 X101 X524 X111 X514 X86 X691 X103 X1499 X2729 (a, b, c) = (5, 6, 7) | AB = 1

X2729 (SR(X101, 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 = X101, U = X111
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(7.720467036004\)

X2729 lies on the circumcircle.

▸ Incident Central Lines6 lines

{3, 2740}, {86, 691}, {101, 524}, {103, 1499}, {111, 514}, {516, 1296}

▸ Functional Relations2 relations