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

X(934)
(X(513)-CROSS CONJUGATE OF X(57))


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) = 1/(bw - cv), u : v : w = X(57)
Barycentrics    g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = af(a,b,c)

X(934) is the antipode of X(972) on the circumcircle.

X(934) lies on these lines:
1,103    3,972    7,104    56,105    77,102    100,658    101,651    106,269    644,1025    675,1088    727,1106    741,1042    759,1014

X(934) = reflection of X(972) in X(3)
X(934) = X(513)-cross conjugate of X(57)

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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