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

X(474)
(EULER LINE INTERCEPT OF LINE X(10)X(56))


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           cos A - (a + b + c)/a : cos B - (a + b + c)/b : cos C - (a + b + c)/c
Barycentrics    a cos A - (a + b + c) : b cos B - (a + b + c) : c cos C - (a + b + c)

X(474) lies on these lines: 2,3    8,999    10,56    35,1001    36,958    40,392    46,960    57,72    65,997    78,942    142,954    171,978    183,274    244,976    283,582    386,940    579,965    986,1054

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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