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(961)
Barycentrics    a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)

X(2269) lies on these lines:
1,573    3,604    6,31    8,9    11,1213    35,572    37,1953    40,2285    41,219    48,836    60,283    63,193    185,1409    198,2256    497,966    517,2171    563,2252    579,1449    899,992    1100,2245    1193,1682    1201,2277    1496,2199    1829,2292    1936,2303

X(2269) = X(I)-Ceva conjugate of X(J) for these I,J: 163,652    643,663    1018,650
X(2269) = crosspoint of X(I) and X(J) for these I,J: 1,333    9,284
X(2269) = crosssum of X(I) and X(J) for these I,J: 1,1400    2,1999    57,226    961,2298

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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