X737

EVEN (- 2, 4) CIRCUMCIRCLE POINT

X737 = isogonal conjugate of X736
< 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_736 = EVEN (- 2, 4) INFINITY POINT (0.9400, 0.6270) X_737 = EVEN (- 2, 4) CIRCUMCIRCLE POINT (0.9903, -0.0393) A B C X736 X737 (a, b, c) = (5, 6, 7) | AB = 1

X737 (EVEN (- 2, 4) 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 \(f(a,b,c) = 1/[a ^{-3}(b^{4} + c^{4}) - a^{3}(b ^{-2} + c ^{-2})]\)
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): \(0.688710723791\)

X737 lies on the circumcircle.

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