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

X(1714)
(MIMOSA TRANSFORM OF X(28))


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) = - (cos A)/x + (cos B)/y + (cos C)/z,    x : y : z = X(28)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1714) lies on these lines:
1,2    4,580    6,442    19,46    58,377    100,1612    219,1329    225,1708    238,1479    278,1739    393,1713    405,1834    920,1711    1498,1532    1707,1770    1712,1728    1715,1779

X(1714) = X(I)-aleph conjugate of X(J) for these (I,J): (4,191), (19,1045), (27,2), (29,20)

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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