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(55)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1721) lies on these lines:
1,7    4,1716    19,1633    40,984    43,1750    46,1736    165,846    294,1743    1039,1885    1040,1836    1045,1047    1707,1709    1720,1771

X(1721) = reflection of X(1) in X(990)
X(1721) = X(33)-Ceva conjugate of X(1)
X(1721) = X(I)-aleph conjugate of X(J) for these (I,J): (1,223), (4,1708), (9,1490), (19,1722), (29,1746), (33,1721), (188,1763), (259,1745), (281,1158), (1172,580), (1783,109)

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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