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

X(3106)
(CENTER OF 1ST 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) = bc cos2A - a2cos B cos C + sqrt(3)(ab sin B + ac sin C)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(3106) is the center of the equilateral triangle introduced at X(3104).

X(3106) lies on these lines:
3,6    13,262    14,2782    18,76       194,627

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

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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