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

X(1788)
(MIMOSA TRANSFORM OF X(1476))


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(1476)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1788) lies on these lines:
1,631    2,65    4,46    7,12    8,56    10,57    11,962    20,1155    34,1722    36,944    40,497    43,73    55,938    109,1724    145,1319    165,950    171,1451    200,1467    201,986    208,1861    225,1738    226,1698    227,241    278,1714    281,579    329,1329    344,1284    345,1403    377,1454    387,1214    412,1857    484,1479    519,1420    580,1771    651,1406    653,1118    899,1042    958,1466    961,1150    978,1457    1068,1772    1707,1877

X(1788) = cevapoint of X(46) and X(1722)

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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