X3493

INTERSECTION OF LINES X4X_194 AND X32X_694

< 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_3493 = INTERSECTION OF LINES X(4)X(194) AND X(32)X(694) (1.2219, -0.1216) A B C X3493 (a, b, c) = (5, 6, 7) | AB = 1

X3493 (INTERSECTION OF LINES X4X_194 AND X32X_694) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = a(a^{6} - b^{6} - c^{6} + a^{2}b^{2}c^{2})/(a^{4} - b^{2}c^{2}) (E\). Danneels)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\), X3493 lies on the cubic Z(X384) and these lines: 4,147 32,694
Search Value (6, 9, 13): \(-0.181488853201\)