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) = (b2 + c2 - a2)/(b - c)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

For the definition of orthocorrespondent, see the notes just before X(1992).

X(1332) lies on these lines:
6,344    69,219    72,895    100,110    101,1310    190,644    287,336    345,394    645,648    646,1016    677,765    815,932

X(1332) = X(I)-Ceva conjugate of X(J) for these (I,J): (645,190), (668,100), (1016,345)
X(1332) = X(I)-cross conjugate of X(J) for these (I,J): (521,69), (905,63), (906,100)
X(1332) = cevapoint of X(I) and X(J) for these (I,J): (63,905), (71,1459), (219,521)

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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