INSTITUTO DE MATEMÁTICA
HJB --- GMA --- UFF

X(3200)
(X(54)-CEVA CONJUGATE OF X(15))


Click here to access the list of all triangle centers.

Information from Kimberling's Encyclopedia of Triangle Centers

Trilinears            u(-u/x + v/y + w/z) : v(u/x - v/y + w/z) : w(u/x + v/y - w/z), where x : y : z = X(54) and u : v : w = X(15)
Trilinears            sin(A + π/3) sin(2A + 2π/3) : sin(B + π/3) sin(2B + 2π/3) : sin(C + π/3) sin(2C + 2π/3)      (M. Iliev, 4/12/07)
Trilinears            cos 3A + cos(A + π/3) : cos 3B + cos(B + π/3) : cos 3C + cos(C + π/3)      (M. Iliev, 4/12/07)

Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b), where f(a,b,c) = u(-u/x + v/y + w/z)

X(3200) lies on these lines:
3,3205    6,3201    13,110    16,184    18,54    49,62    61,1147    202,215    3105,3202

X(3200) = X(54)-Ceva conjugate of X(15)
X(3200) = crosspoint of X(15) and X(62)
X(3200) = crosssum of X(13) and X(18)

This is a joint work of
Humberto José Bortolossi, Lis Ingrid Roque Lopes Custódio and Suely Machado Meireles Dias.

If you have questions or suggestions, please, contact us using the e-mail presented here.

Departamento de Matemática Aplicada -- Instituto de Matemática -- Universidade Federal Fluminense



free counter