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) = - (cos A)/x + (cos B)/y + (cos C)/z,    x : y : z = X(284)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1754) lies on these lines:
1,3    4,580    5,582    20,58    25,1730    31,516    33,1708    47,1770    63,990    81,991    109,278    184,851    209,916    212,226    219,1376    238,1699    255,1074    283,377    386,411    394,1004    498,1794    579,1172    595,962    602,946    846,1744    950,1451    1707,1709    1726,1824    1743,1750

X(1754) = X(I)-Ceva conjugate of X(J) for these (I,J): (579,1724), (1172,1)
X(1754) = X(I)-aleph conjugate of X(J) for these (I,J): (4,1744), (29,1765), (365,1047), (1172,1754)

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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