HJB --- GMA --- UFF

(SS(a->bc) OF X(111))

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/(2b2c2 - a2b2 - a2c2)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

Trilinears for X(3228) are obtained by applying the symbolic substitution (a,b,c)-->(bc,ca,ab) to trilinear coordinates of X(111). As a symbolic substitution, this mapping takes circumconics to circumconics. In particular, it maps circumcircle onto the Steiner circumellipse, which passes through X(3228).

X(3228) lies on these lines:
6,670    6,99    25,648    37,668    42,190    111,385    263,1992    290,2395    671,804

X(3228) = isogonal conjugate of X(3231)
X(3228) = isotomic conjugate of X(538)

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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