X803

o-(- 2, 1) CIRCUMCIRCLE POINT

X803 = isogonal conjugate of X802
< 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_802 = ODD (- 2, 1) INFINITY POINT (0.2484, 0.7107) X_803 = o-(- 2, 1) CIRCUMCIRCLE POINT (0.0155, -0.0581) A B C X802 X803 (a, b, c) = (5, 6, 7) | AB = 1

X803 (o-(- 2, 1) 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 \(f(a,b,c) = 1/[a ^{-3}(b^{1} - c^{1}) + a^{0}(b ^{-2} - c ^{-2})]\)
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): \(12.780918342013\)

X803 lies on the circumcircle.

▸ Functional Relations1 relation