X2761

SR(X107, X108)

X2761 = isogonal conjugate of X2845
< 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) { 107, 521 }: Central Line L(107, 521) { 108, 520 }: Central Line L(108, 520) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2845 = ISOGONAL CONJUGATE OF X(2761) (1.1211, 0.1393) X_107 = Ψ(SYMMEDIAN POINT, ORTHOCENTER) (0.5733, 0.6071) X_521 = ISOGONAL CONJUGATE OF X(108) (1.1224, 0.1534) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_520 = ISOGONAL CONJUGATE OF X(107) (-0.0490, 0.2227) X_2761 = SR(X(107), X(108)) (0.5075, 0.6123) A B C X2845 X107 X521 X108 X520 X2761 (a, b, c) = (5, 6, 7) | AB = 1

X2761 (SR(X107, X108)) 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 = X107, U = X108
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(1.833809284034\)

X2761 lies on the circumcircle.

▸ Incident Central Lines2 lines

{107, 521}, {108, 520}

▸ Functional Relations1 relation