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) is as in X(60)
Barycentrics    a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)

X(2171) lies on these lines:
1,572    6,1411    7,192    9,1405    12,594    19,41    37,65    42,1824    57,1255    101,1781    172,1950    181,756    226,306    312,1240    517,2269    894,1959    1100,1404    1108,1475    1254,1500    1402,1962    1841,1887    2173,2174    2262,2347

X(2171) = isogonal conjugate of X(2185)
X(2171) = X(I)-Ceva conjugate of X(J) for these I,J: 12,756    37,2197    65,181    226,12
X(2171) = cevapoint of X(181) and X(1500)
X(2171) = X(I)-cross conjugate of X(J) for these I,J: 115,661    181,1254    1500,756
X(2171) = crosspoint of X(I) and X(J) for these I,J: 1,2051    37,1826    65,226   
X(2171) = crosssum of X(I) and X(J) for these I,J: 1,572    2,284    81,1790   

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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