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

X(3213)
(X(57)-CEVA CONJUGATE OF X(34))


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(57) and u : v : w = X(34)
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(3213) lies on these lines:
6,208    19,56    33,2285    34,604    48,2331    57,1172    154,204    196,380    608,1407    610,1249

X(3213) = X(I)-Ceva conjugate of X(J) for these I,J: 57,34    1172,608
X(3213) = X(3172)-cross conjugate of X(204)
X(3213) = crosspoint of X(57) and X(1394)
X(3213) = X(112)-beth conjugate of X(48)

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



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