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

X(2551)
(EXSIMILICENTER(SPIEKER 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) = bc(b + c - a cos B cos C)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

The circle (X(4),2R) is identified at X(2474).

X(2551) lies on these lines:
2,12    3,1603    4,9    8,210    20,1376    55,452    63,1788    65,329    200,950    219,387    220,1834    318,1857    377,1155    390,480    443,1478    515,936    518,938    519,1058    631,993    944,997    1056,1125    1377,1587    1378,1588    1573,2548    1574,2549    1678,2542    1679,2543    1680,2546    1681,2547    2013,2544    2014,2545    2467,2552    2468,2553

X(2551) = reflection of X(1706) in X(10)
X(2551) = crosssum of X(56) and X(1466)

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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