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

X(3209)
(X(56)-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(56) 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(3209) lies on these lines:
19,56    25,1096    108,281    196,347    198,208    604,608    607,1400    1593,2285    2187,3195

X(3209) = X(I)-Ceva conjugate of X(J) for these I,J: 19,608    56,25    196,221    208,3195
X(3209) = crosspoint of X(19) and X(2331)
X(3209) = X(112)-beth conjugate of X(6)

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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