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

X(3098)
(INTERSECTION OF LINES X(3)X(6) AND X(69)X(74))


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 - 2b4 - 2c4 - 2b2c2 + c2a2 + a2b2)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(3098) lies on these lines:
3,6    20,1352    22,1495    22,1495    30,141    35,1469    36,3056    69,74    184,323    186,1974    206,1511    378,1843    399,2916    550,1503    805,842

X(3098) = midpoint of X(I) and X(J) for these I,J: 3,1350    20,1352
X(3098) = reflection of X(I) in X(J) for these I,J: 182,3    576,182    1351,575

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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