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

X(3105)
(OUTER VERTEX OF 2ND BROCARD EQUILATERAL TRIANGLE)


Click here to access the list of all triangle centers.

Information from Kimberling's Encyclopedia of Triangle Centers

Trilinears            f(a,b,c)) : f(b,c,a) : f(c,a,b), where f(a,b,c) = sqrt(3)(bc cos2A - a2cos B cos C) - ab sin B - ac sin C
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

There are two 60-rotations of the 1st Brocard point about the 2nd; X(3105) is the one farther from X(3).

X(3105) lies on these lines:
3,6    13,76    18,262    194,617       634,2896

X(3105) = reflection of X(I) in X(J) for these I,J: 3104,39    3106,3107

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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