X785

o-(- 3, - 2) CIRCUMCIRCLE POINT

X785 = Ψ(X76, X37)
< 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) { 99, 692 }: Central Line L(99, 692) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_784 = ODD (- 3, - 2) INFINITY POINT (-0.0125, 0.4050) X_99 = STEINER POINT (0.1109, 0.4322) X_692 = -CEVA CONJUGATE OF X(101) (0.2833, 0.5715) X_785 = o-(- 3, - 2) CIRCUMCIRCLE POINT (0.2590, 0.5519) A B C X784 X99 X692 X785 (a, b, c) = (5, 6, 7) | AB = 1

X785 (o-(- 3, - 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 \(f(a,b,c) = 1/[a ^{-4}(b ^{-2} - c ^{-2}) + a ^{-3}(b ^{-3} - c ^{-3})]\)
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): \(0.845254354650\)

X785 lies on the circumcicle.

▸ Incident Central Lines1 line

{99, 692}

▸ Functional Relations3 relations