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

X(3172)
(X(6)-CEVA CONJUGATE OF X(25))


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(6) and u : v : w = X(25)
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(3172) lies on these lines:
3,112    6,64    19,1104    20,1249    24,1384    25,32    31,607    41,3195    204,3198    232,3053    608,1042    1907,3087

X(3172) = X(I)-Ceva conjugate of X(J) for these I,J: 1249,154    2332,1973
X(3172) = crosspoint of X(I) and X(J) for these I,J: 6,154    204,3213
X(3172) = crosssum of X(2) and X(253)

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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