X707

EVEN (- 4, 2) CIRCUMCIRCLE POINT

X707 = isogonal conjugate of X706
< 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_706 = EVEN (- 4, 2) INFINITY POINT (0.0716, -0.1570) X_707 = EVEN (- 4, 2) CIRCUMCIRCLE POINT (1.0099, 0.1232) A B C X706 X707 (a, b, c) = (5, 6, 7) | AB = 1

X707 (EVEN (- 4, 2) 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 \(f(a,b,c) = 1/[a ^{-5}(b^{2} + c^{2}) - a^{1}(b ^{-4} + c ^{-4})]\)
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): \(-0.463105198649\)

X707 lies on the circumcircle.

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