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

X(3226)
(SS(a->bc) OF X(105))


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) = bc/(ab2 + ac2 - bc2 - b2c)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

Trilinears for X(3226) are obtained by applying the symbolic substitution (a,b,c)-->(bc,ca,ab) to trilinear coordinates of X(105). As a symbolic substitution, this mapping takes circumconics to circumconics. In particular, it maps circumcircle onto the Steiner circumellipse, which passes through X(3226).

X(3226) lies on these lines:
1,668    6,190    56,664    58,99    75,87    86,670    239,292    648,1474    666,1438    1027,2481

X(3226) = isogonal conjugate of X(3009)
X(3226) = isotomic conjugate of X(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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