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

X(3162)
(X(2)-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(2) 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(3162) lies on these lines:
2,2138    6,66    19,614    22,112    24,1627    25,32    204,612    216,1033    232,1609    305,648    378,1180    468,1611    1194,1968    1498,1529

X(3162) = X(I)-Ceva conjugate of X(J) for these I,J: 2,25    1370,455
X(3162) = crosspoint of X(2) and X(1370)


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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