X725

EVEN (- 3, 4) CIRCUMCIRCLE POINT

X725 = isogonal conjugate of X724
< 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_724 = EVEN (- 3, 4) INFINITY POINT (0.1164, -0.2089) X_725 = EVEN (- 3, 4) CIRCUMCIRCLE POINT (1.0009, 0.0045) A B C X724 X725 (a, b, c) = (5, 6, 7) | AB = 1

X725 (EVEN (- 3, 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 \(f(a,b,c) = 1/[a ^{-4}(b^{4} + c^{4}) - a^{3}(b ^{-3} + c ^{-3})]\)
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): \(0.179322103462\)

X725 lies on the circumcircle.

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