X819

o-(- 1, 4) CIRCUMCIRCLE POINT

X819 = isogonal conjugate of X818
< 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) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_818 = ODD (- 1, 4) INFINITY POINT (1.1237, 0.1737) X_819 = o-(- 1, 4) CIRCUMCIRCLE POINT (0.5674, 0.6079) A B C X818 X819 (a, b, c) = (5, 6, 7) | AB = 1

X819 (o-(- 1, 4) CIRCUMCIRCLE POINT) 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 \(f(a,b,c) = 1/[a ^{-2}(b^{4} - c^{4}) + a^{3}(b ^{-1} - c ^{-1})]\)
Barycentrics: \(g(a,b,c) : g(b,c,a) : g(c,a,b)\), where \(g(a,b,c) = af(a,b,c)\)
Search Value (6, 9, 13): \(-0.471511562146\)

X819 lies on the circumcircle.

▸ Functional Relations1 relation