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

X(2573)
(EXSIMILICENTER(BEVAN, 2ND BROCARD CIRCLE))


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) = 1 - cos B - cos C + (1 - 2/e)cos A, where e = (1 - 4 sin2ω)1/2
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(2573) lies on these lines:
1,3    9,2568    1342,1704    1343,1705    1698,2566    1699,2567    1700,2558    1701,2559    1702,2560    1703,2561    1706,2569    2017,2562    2018,2563

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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