Authors: Tobías de Jesús Rosas Soto
Se presenta el estudio de propiedades geométricas de un cuadrilátero inscrito en una circunferencia, en un plano de Minkowski. Se estudian las relaciones entre los cuatro triángulos formados por los vértices del cuadrilátero, sus antitriángulos y puntos de simetría, sus baricentros y otros puntos asociados con dichos triángulos, respectivamente. Se introduce la noción de anticuadrilátero y se extiende la noción de circunferencia de Feuerbach de un cuadriláteros, inscritos en una circunferencia, a planos de Minkowski en general. --- The study of geometric properties of a inscribed quadrangle in a circle, in a Minkowski plane is presented. We study the relations between the four triangles formed by the vertices of the quadrangle, its anti-triangles and points of symmetry, its barycenters and other points associated with such triangles, respectively. The notion of anti-quadrangle is introduced and extends the notion of Feuerbach circle for quadrangles, inscribed in a circle, to Minkowski planes in general.
Comments: 16 Pages. Artículo en español, con resumen en inglés. Contiene ecuaciones, y 8 figuras, a color para mejor comprensión.
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[v1] 2014-08-28 16:04:49
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