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

X(3179)
(X(13)-CEVA CONJUGATE OF X(1))


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(13) and u : v : w = X(1)
Trilinears            tan(A/2 + π/6) : tan(B/2 + π/6) : tan(C/2 + π/6)      (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(3179) lies on these lines:
1,15    9,46    13,484    18,1653    57,1081

X(3179) = X(13)-Ceva conjugate of X(1)
X(3179) = X(202)-cross conjugate of X(1)

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