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

X(3218)
(INTERSECTION OF LINES X(2)X(7) AND X(8)X(46))


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) = a2 - b2 - c2 + bc
Trilinears            (1 - 2 cos A) csc A : (1 - 2 cos B) csc B : (1 - 2 cos C) csc C      (M. Iliev, 4/12/07)

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

This point occurs in a Sadi Abu-Saymeh, Mowaffaq Hajja, and Hellmuth Stachel, "Another cubic associated with the triangle," forthcoming in Journal for Geometry and Graphics.

X(3218) lies on these lines:
1,89    2,7    6,1908    8,46    11,1776    21,942    22,1473    31,982    36,214    37,2666    38,171    40,145    44,88    65,2975    72,404    75,1150    80,535    81,593    97,1214    100,518    104,517    110,2651    149,516    153,1512    189,2994    191,1125    222,1993    229,1098    238,244    239,514    240,1430    241,1252    278,1748    291,2239    320,2245    323,1443    324,1947    333,2160    335,675    354,1621    388,1454    394,1407    411,1071    484,519    614,1707    651,1465    750,984    799,1921    899,1054    903,2161    919,1814    962,1158    986,1468    990,2000    1012,2095    1046,1193

X(3218) = isogonal conjugate of X(2161)

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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