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

X(2546)
(INSIMILICENTER(1ST LEMOINE 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) = cos B cos C + cos(A - ω)
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(2546) lies on these lines:
2,1343    4,83    10,1701    20,1342    194,1671    371,2545    372,2544    388,1673    497,1672    516,1700    1587,1688    1588,1687    1680,2551    1681,2550    2035,2549    2036,2548    2471,2553    2472,2552

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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