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

X(1708)
(MIMOSA TRANSFORM OF X(7))


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(7)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1708) lies on these lines:
1,201    2,7    4,46    6,1214    19,1713    33,1736    34,1724    38,1471    40,950    43,1758    44,1427    56,72    58,1038    65,405    109,1395    169,1762    208,860    218,222    223,1743    225,1714    278,1723    354,954    442,1454    518,1260    582,1062    653,1748    1020,1435    115,1864    1396,1778    1412,1812    1711,1738    1712,1715    1750,1768

X(1708) = X(273)-Ceva conjugate of X(1)
X(1708) = cevapoint of X(46) in X(1723)
X(1708) = crosssum of X(652) and X(2170)
X(1708) = X(I)-aleph conjugate of X(J) for these (I,J): (2,1490), (4,1721), (7,223), (27,580), (92,1158), (174,1745), (273,1708), (278,1722), (286,1746), (508,610), (653,109)

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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