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

X(3009)
((LEMOINE AXIS)∩(NAGEL LINE))


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) = a[a(b2 + c2) - bc(b + c)]
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(3009) lies on these lines:
1,2    31,172    37,1964    101,2210    187,237    192,1740    213,2308    238,660    292,672    536,2234    694,2054    741,1931    872,1100    1914,2109    2111,2116    2113,2114

X(3009) = isogonal conjugate of X(3226)
X(3009) = X(I)-Ceva conjugate of X(J) for these I,J: 238,672    660,649    727,6    1911,42
X(3009) = crosspoint of X(I) and X(J) for these I,J: 1,292    6,727    1463,1575
X(3009) = crosssum of X(I) and X(J) for these I,J: 1,239    2,726

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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