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) = a2 - a(b + c) - 2bc
Barycentrics    g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)

X(1001) lies on these lines:
1,6    2,11    3,142    7,21    8,344    31,940    35,474    42,748    63,354    182,692    388,452    527,551    529,1056    614,968    750,902    846,982    943,1058

X(1001) is the {X(1),X(238)}-harmonic conjugate of X(6).

X(1001) = midpoint of X(1) and X(9)
X(1001) = reflection of X(142) in X(1125)
X(1001) = isogonal conjugate of X(1002)
X(1001) = complement of X(2550)
X(1001) = crosssum of X(I) and X(J) for these (I,J): (116,824), (788,1015)
X(1001) = crossdifference of any two points on line X(513)X(665)

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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