HJB --- GMA --- UFF

(SUM OF PU(81))

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: (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) = 1/(cos A + cos B) + 1/(cos A + cos C)
Barycentrics    (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)

X(2650) lies on these lines:
1,21    6,2294    40,2177    42,65    72,756    78,750    145,740    221,2099    244,942    326,969    354,1201    500,517    512,764    526,1769    651,2647    661,2653    1002,1432    1104,2308    1409,2171    1419,2263    1480,1482    1858,2310

X(2650) = reflection of X(2292) in X(1)
X(2650) = X(1)-Ceva conjugate of X(2646)
X(2650) = crosspoint of X(1) and X(65)
X(2650) = crosssum of X(1) and X(21)

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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