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

X(3206)
(X(54)-CEVA CONJUGATE OF X(62))


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(54) and u : v : w = X(62)
Trilinears            sin(A - π/6) sin(2A + π/6) : sin(B - π/6) sin(2B + π/6) : sin(C - π/6) sin(2C + π/6)      (M. Iliev, 4/12/07)
Trilinears            cos 3A - cos(A + π/3) : cos 3B - cos(B + π/3) : cos 3C - cos(C + π/3)      (M. Iliev, 4/12/07)

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(3206) lies on these lines:
3,3201    6,3205    13,54    14,156    16,1147    18,110    49,62    61,184    202,2477    3106,3202

X(3206) = X(54)-Ceva conjugate of X(62)

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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