X815

o-(- 1, 2) CIRCUMCIRCLE POINT

X815 = isogonal conjugate of X814
< 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_814 = ODD (- 1, 2) INFINITY POINT (1.1242, 0.2110) X_815 = o-(- 1, 2) CIRCUMCIRCLE POINT (0.6308, 0.5953) A B C X814 X815 (a, b, c) = (5, 6, 7) | AB = 1

X815 (o-(- 1, 2) 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 \(f(a,b,c) = 1/[a ^{-2}(b^{2} - c^{2}) + a^{1}(b ^{-1} - c ^{-1})]\)
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): \(-0.577148686207\)

X815 lies on the circumcircle.

▸ Functional Relations1 relation