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

X(1702)
(INSIMILICENTER(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(1702) lies on these lines:
1,371    6,40    9,1378    10,1588    43,1685    57,1124    165,372    485,1699    486,1698    516,1587    580,605    1335,1697    1377,1706    1504,1572    1505,1571    1668,1704    1669,1705    1670,2017    1671,2018    1686,1695    1687,1701    1688,1700

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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