X793

o-(- 3, 2) CIRCUMCIRCLE POINT

X793 = isogonal conjugate of X792
< 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_792 = ODD (- 3, 2) INFINITY POINT (0.6071, 0.7827) X_793 = o-(- 3, 2) CIRCUMCIRCLE POINT (0.5083, -0.4082) A B C X792 X793 (a, b, c) = (5, 6, 7) | AB = 1

X793 (o-(- 3, 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 \(f(a,b,c) = 1/[a ^{-4}(b^{2} - c^{2}) + a^{1}(b ^{-3} - c ^{-3})]\)
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): \(2.548480255223\)

X793 lies on the circumcircle.

▸ Functional Relations2 relations