HJB --- GMA --- UFF

(SR(X(98), X(102)))

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) = a/[(b - c)(a3 + b3 + c3 - 2a2b - 2a2c + abc)]       (M. Iliev, 5/13/07)

Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(2701) lies on the circumcircle and these lines:
3,2708    98,515    99,522    102,511    104,2648    109,512    110,663    111,1055    187,2291    759,1326    953,1064    991,2700    1951,2249    1983,2702

X(2701) = reflection of X(2708) in X(3)
X(2701) = isogonal conjugate of X(2785)
X(2701) = cevapoint of X(663) and X(1951)

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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