INSTITUTO DE MATEMÁTICA
HJB --- GMA --- UFF

X(2726)
(SR(X(101), X(106)))


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: tc.zip (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) is as given just before X(2677) using P = X(101), U = X(106)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(2726) lies on the circumcircle and these lines:
2,901    3,2737    9,813    25,1309    99,859    101,519    104,667    106,514    108,242    109,238    392,2703    516,1293    898,956    934,1447    1016,1145    1083,2742    1397,2720

X(2726) = reflection of X(2737) in X(3)
X(2726) = isogonal conjugate of X(2810)

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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