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

X(3227)
(SS(a->bc) OF X(106))


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/(2bc - ab - ac)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

Trilinears for X(3227) are obtained by applying the symbolic substitution (a,b,c)-->(bc,ca,ab) to trilinear coordinates of X(106). As a symbolic substitution, this mapping takes circumconics to circumconics. In particular, it maps circumcircle onto the Steiner circumellipse, which passes through X(3227).

X(3227) lies on these lines:
1,190    2,668    28,648    57,664    81,99    88,239    105,666    274,670    291,519    335,2087    671,2787    903,1022    957,1992

X(3227) = isogonal conjugate of X(3230)
X(3227) = isotomic conjugate of X(536)

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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