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           a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b), where f(a,b,c) = X(1113)
Barycentrics    a2/f(a,b,c) : b2/f(b,c,a) : c2/f(c,a,b)

X(2578) lies on these lines:
19,2588    44,513    48,2584    63,2582    71,2574    163,1822    1114,2249    1821,2581    2159,2577   

X(2578) = isogonal conjugate of X(2580)
X(2578) = X(I)-Ceva conjugate of X(J) for these: I,J: 163,2579    662,2585    1822,31    2576,48    2580,1    2582,2584
X(2578) = crosspoint of X(I) and X(J) for these I,J: 1,2580    19,2576    2582,2588   
X(2578) = crosssum of X(I) and X(J) for these I,J: 1,2578    19,2588    63,2582    1822,2576
X(2578) = X(2580)-aleph conjugate of X(2578)

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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