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

X(2966)
(BARYCENTRIC PRODUCT X(98)*X(99))


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) = [sec(A + ω)]/(b2 - c2)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(2966) lies on these lines:
30,98    99,249    230,297    248,290    250,523    287,524    325,441    448,2481    668,906    892,2395    2421,2422

X(2966) = midpoint of X(385) and X(401)
X(2966) = reflection of X(I) and X(J) for these I,J: 297,230    325,441
X(2966) = cevapoint of X(I) and X(J) for these I,J: 2,2799    98,2395    112,2409    230,523    248,879    441,525    511,647
X(2966) = X(I)-cross conjugate of X(J) for these I,J: 879,290    2395,98    2715,685    2799,2

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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