X2763

SR(X107, X111)

X2763 = isogonal conjugate of X2847
< 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, 524 }: Central Line L(107, 524) { 111, 520 }: Central Line L(111, 520) { 394, 691 }: Central Line L(394, 691) { 1294, 1499 }: Central Line L(1294, 1499) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2847 = ISOGONAL CONJUGATE OF X(2763) (0.2225, 0.6952) X_107 = Ψ(SYMMEDIAN POINT, ORTHOCENTER) (0.5733, 0.6071) X_524 = ISOGONAL CONJUGATE OF X(111) (0.1376, -0.2297) X_111 = PARRY POINT (0.9885, -0.0457) X_520 = ISOGONAL CONJUGATE OF X(107) (-0.0490, 0.2227) X_394 = -CEVA CONJUGATE OF X(3) (0.3778, 0.0284) X_691 = TRILINEAR POLE OF LINE X(6)X(110) (1.0101, 0.0886) X_1294 = COLLINGS TRANSFORM OF X(122) (0.4267, -0.4030) X_1499 = POINT BIHAM (0.1078, 0.5997) X_2763 = SR(X(107), X(111)) (0.0016, -0.0074) A B C X2847 X107 X524 X111 X520 X394 X691 X1294 X1499 X2763 (a, b, c) = (5, 6, 7) | AB = 1

X2763 (SR(X107, 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 = X107, U = X111
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(9.518765991904\)

X2763 lies on the circumcircle.

▸ Incident Central Lines4 lines

{107, 524}, {111, 520}, {394, 691}, {1294, 1499}

▸ Functional Relations1 relation