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

X(2886)
(COMPLEMENTARY CONJUGATE OF X(9))


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) = bc(b3 + c3 - ab2 - ac2 - b2c - bc2)       (M. Iliev, 5/13/07)

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

X(2886) lies on these lines:
1,442    2,11    4,958    5,10    8,12    9,1699    30,993    56,377    63,1836    75,325    115,1573    118,124    141,674    210,908    214,1484    226,518    333,2651    348,2898    405,1479    427,1824    474,499    485,1378    486,1377    495,519    496,1125    529,956    982,1086    1348,1679    1349,1678    1506,1574    1676,1681    1677,1680    1698,1706    2009,2014    2010,2013    2566,2569    2567,2568

X(2886) = midpoint of X(I) and X(J) for these I,J: 8,2099    63,1836    956,1478
X(2886) = complement of X(55)
X(2886) = complementary conjugate of X(9)
X(2886) = crosssum of X(6) and X(2175)

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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