X2724

SR(X101, X103)

X2724 = isogonal conjugate of X2808
< 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) { 101, 516 }: Central Line L(101, 516) { 103, 514 }: Central Line L(103, 514) { 40, 813 }: Central Line L(40, 813) { 3, 927 }: Central Line L(3, 927) { 4, 1566 }: Central Line L(4, 1566) { 108, 2223 }: Central Line L(108, 2223) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2808 = ISOGONAL CONJUGATE OF X(2724) (0.8660, -0.2863) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_103 = ANTIPODE OF X(101) (0.7857, -0.3208) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_40 = BEVAN POINT (0.4286, -0.0292) X_813 = o-(- 1, 1) CIRCUMCIRCLE POINT (0.9721, -0.0916) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_927 = ISOGONAL CONJUGATE OF X(926) (1.0037, 0.1836) X_4 = ORTHOCENTER (0.6122, 0.3958) X_1566 = ORTHOJOIN OF X(676) (0.3042, 0.2081) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_2223 = -ISOCONJUGATE OF X(673) (1.1455, 1.2880) X_2724 = SR(X(101), X(103)) (-0.0037, 0.0205) A B C X2808 X101 X516 X103 X514 X40 X813 X3 X927 X4 X1566 X108 X2223 X2724 (a, b, c) = (5, 6, 7) | AB = 1

X2724 (SR(X101, X103)) 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 = X103
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(13.995537699721\)

X2724 lies on the circumcircle.

▸ Incident Central Lines6 lines

{3, 927}, {4, 1566}, {40, 813}, {101, 516}, {103, 514}, {108, 2223}

▸ Functional Relations3 relations