HJB --- GMA --- UFF


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: (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) = 2 cos B cos C + sin(A + ω) csc ω
                                    = g(a,b,c) : g(b,c,a): g(c,a,b), where g(a,b,c) = bc[a4 - b4 - c4 + 2(a2b2 + b2c2 + c2a2)]    (Eric Danneels, Nov. 11, 2004)

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(2548) lies on these lines:
2,32    4,39    5,6    10,1572    20,574    115,147    148,1569    172,499    187,631    211,263    217,1899    230,1656    316,2021    388,1015    427,2207    497,1500    498,1914    516,1571    625,1692    1478,2275    1479,2276    1504,1588    1505,1587    1573,2551    1574,2550    2033,2543    2034,2542    2035,2547    2036,2546

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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