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

X(1703)
(EXSIMILICENTER(BEVAN CIRCLE, 2ND LEMOINE 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) = 2 sin A - cos A + cos B + cos C - 1
Barycentrics    (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)

X(1703) lies on these lines:
1,372    6,40    9,1377    10,1587    43,1686    57,1335    165,371    485,1698    486,1699    516,1588    580,606    1124,1697    1378,1706    1504,1571    1505,1572    1668,1705    1669,1704    1670,2018    1671,2017    1685,1695    1687,1700    1688,1701

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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