X787

o-(- 3, - 1) CIRCUMCIRCLE POINT

X787 = isogonal conjugate of X786
< 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) { 662, 689 }: Central Line L(662, 689) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_786 = ODD (- 3, - 1) INFINITY POINT (0.0039, 0.4444) X_662 = TRILINEAR POLE OF LINE X(1)X(21) (0.1811, 0.4951) X_689 = TRILINEAR POLE OF LINE X(6)X(76) (0.0585, 0.3579) X_787 = o-(- 3, - 1) CIRCUMCIRCLE POINT (0.1963, 0.5122) A B C X786 X662 X689 X787 (a, b, c) = (5, 6, 7) | AB = 1

X787 (o-(- 3, - 1) 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 \(f(a,b,c) = 1/[a ^{-4}(b ^{-1} - c ^{-1}) + a ^{-2}(b ^{-3} - c ^{-3})]\)
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): \(1.546652582173\)

X787 lies on the circumcircle.

▸ Incident Central Lines1 line

{662, 689}

▸ Functional Relations2 relations