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

X(3184)
(X(20)-CEVA CONJUGATE OF X(30))


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(20) and u : v : w = X(30)
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(3184) lies on these lines:
3,113    20,107    30,133    112,376

X(3184) = inverse-in-circumcircle of X(2935)
X(3184) = midpoint of X(20) and X(107)
X(3184) = reflection of X(122) in X(3)
X(3184) = X(20)-Ceva conjugate of X(30)


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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