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

X(3220)
(INTERSECTION OF LINES X(3)X(9) AND X(36)X(238))


Click here to access the list of all triangle centers.

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(a4 - b4 - c4 + bc(b2 + c2 - a2)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(3220) is the homothetic center of the following two triangles: tangential triangles of the excentral triangle, and excentral triangle of the tangential triangle. (Note from Peter Moses, 1/24/2007)

X(3220) lies on these lines:
1,159    3,9    19,990    22,63    25,57    35,984    36,238    48,991    56,269    58,1474    100,2751    101,1818    103,2272    104,2728    154,222    165,197    184,2003    219,1350    511,2323    603,2212    759,2722    1040,1763


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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