X2756

SR(X106, X108)

X2756 = isogonal conjugate of X2840
< 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) { 106, 521 }: Central Line L(106, 521) { 108, 519 }: Central Line L(108, 519) { 78, 901 }: Central Line L(78, 901) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2840 = ISOGONAL CONJUGATE OF X(2756) (0.1807, 0.6660) X_106 = Λ(INCENTER, CENTROID) (1.0000, 0.0000) X_521 = ISOGONAL CONJUGATE OF X(108) (1.1224, 0.1534) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_519 = ISOGONAL CONJUGATE OF X(106) (0.9566, 0.6107) X_78 = ISOGONAL CONJUGATE OF X(34) (0.3835, 0.0491) X_901 = ISOGONAL CONJUGATE OF X(900) (1.0000, -0.0000) X_2756 = SR(X(106), X(108)) (0.0752, 0.0737) A B C X2840 X106 X521 X108 X519 X78 X901 X2756 (a, b, c) = (5, 6, 7) | AB = 1

X2756 (SR(X106, 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 = X106, U = X108
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(8.962662364233\)

X2756 lies on the circumcircle.

▸ Incident Central Lines3 lines

{78, 901}, {106, 521}, {108, 519}

▸ Functional Relations1 relation