X721

EVEN (- 3, 0) CIRCUMCIRCLE POINT

X721 = isogonal conjugate of X720
< 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_720 = EVEN (- 3, 2) INFINITY POINT (0.0849, -0.1737) X_721 = EVEN (- 3, 0) CIRCUMCIRCLE POINT (1.0101, 0.0860) A B C X720 X721 (a, b, c) = (5, 6, 7) | AB = 1

X721 (EVEN (- 3, 0) 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): \(-0.341020983801\)

X721 lies on the circumcircle.

▸ Functional Relations2 relations