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

X(2550)
(INSIMILICENTER(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(2550) lies on these lines:
1,142    2,11    3,1602    4,9    7,8    12,480    20,958    144,1654    200,226    210,329    318,1118    355,971    376,993    442,954    519,1056    527,1478    740,2294    936,946    948,2263    960,962    1058,1125    1377,1588    1378,1587    1445,1788    1479,1698    1573,2549    1574,2548    1678,2543    1679,2542    1680,2547    1681,2546    2013,2545    2014,2544    2467,2553    2468,2552

X(2550) = midpoint of X(7) and X(8)
X(2550) = isotomic conjugate of X(1121)
X(2550) = complement of X(390)
X(2550) = anticomplement of X(1001)
X(2550) = reflection of X(I) in X(J) for these I,J: 1,142    9,10    390,1001

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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