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

X(3159)
(X(1)-CEVA CONJUGATE OF X(10))


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(1) and u : v : w = X(10)
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(3159) lies on these lines:
10,321    37,39    58,190    72,519    192,386

X(3159) = midpoint of X(72) and X(2901)
X(3159) = reflection of X(596) in X(1125)
X(3159) = X(1)-Ceva conjugate of X(10)
X(3159) = crosspoint of X(1) and X(3216)

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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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