X773

o-(- 4, - 1) CIRCUMCIRCLE POINT

X773 = isogonal conjugate of X772
< 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_772 = ODD (- 4, - 1) INFINITY POINT (0.0114, 0.4601) X_773 = o-(- 4, - 1) CIRCUMCIRCLE POINT (0.1725, 0.4934) A B C X772 X773 (a, b, c) = (5, 6, 7) | AB = 1

X773 (o-(- 4, - 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 \(f(a,b,c) = 1/[a ^{-5}(b ^{-1} - c ^{-1}) + a ^{-2}(b ^{-4} - c ^{-4})]\)
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): \(1.847936506046\)

X773 lies on the circumcircle.

▸ Functional Relations2 relations