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           1/f(a,b,c) : 1/f(b,c,a) : 1/f(c,a,b), where f(a,b,c) = X(1114)
Barycentrics    a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)

X(2575) lies on these lines:
4,2593    6,1345    30,511    71,2579    72,2583    73,2585    74,1113    110,1114    113,1313    125,1312    895,2105

X(2575) = isogonal conjugate of X(1114)
X(2575) = complementary conjugate of X(1312)
X(2575) = X(I)-Ceva conjugate of X(J) for these I,J: 4,1312    110,2574    1114,3
X(2575) = X(125)-cross conjugate of X(2574)
X(2575) = crosspoint of X(4) and X(1114)
X(2575) = crosssum of X(I) and X(J) for these I,J: 3,2575    523,1313

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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