HJB --- GMA --- UFF


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) = a2 - bc - ca - ab       (M. Iliev, 5/13/07)

X(1621) lies on these lines:
1,21    2,11    3,962    7,1617    8,405    9,1174    22,1486    35,404    36,551    37,82    42,238    43,748    99,873    145,958    171,902    213,1206    226,1005    278,1013    329,954    411,946    517,1006    739,932    985,1255

X(1621) = X(I)-Ceva conjugate of X(J) for these (I,J): (1252,100), (1509,6)
X(1621) = crosspoint of X(99) and X(765)
X(1621) = crosssum of (244,512)

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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