X807

o-(- 2, 3) CIRCUMCIRCLE POINT

X807 = isogonal conjugate of X806
< 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_806 = ODD (- 2, 3) INFINITY POINT (1.0764, 0.4320) X_807 = o-(- 2, 3) CIRCUMCIRCLE POINT (0.9388, 0.3626) A B C X806 X807 (a, b, c) = (5, 6, 7) | AB = 1

X807 (o-(- 2, 3) 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 \(f(a,b,c) = 1/[a ^{-3}(b^{3} - c^{3}) + a^{2}(b ^{-2} - c ^{-2})]\)
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): \(-0.512487665362\)

X807 lies on the circumcircle.

▸ Functional Relations1 relation