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

X(2543)
(EXSIMILICENTER(BROCARD CIRCLE, (X(4),2R)))


Click here to access the list of all triangle centers.

Interactive Applet

You can move the points A, B and C (click on the point and drag it).
Press the keys “+” and “−” to zoom in or zoom out the visualization window and use the arrow keys to translate it.

You can also construct all centers related with this one (as described in ETC) using the “Run Macro Tool”. To do this, click on the icon Run Macro Tool, select the center name from the list and, then, click on the vertices A, B and C successively.

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Download all construction files and macros: tc.zip (10.1 Mb).
This applet was built with the free and multiplatform dynamic geometry software C.a.R..


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) = e cos B cos C - cos(A - ω)      e = (1 - 4 sin2 ω)1/2
Barycentrics    (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)

The circle (X(4),2R) is identified at X(2474).

X(2543) lies on these lines:
2,1340    4,83    10,1704    20,1341    388,1674    497,1675    516,1705    1587,1669    1588,1668    1678,2550    1679,2551    2011,2544    2012,2545    2033,2548    2034,2549    2469,2552    2470,2553

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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