masterThesis
A relação de Euler para poliedros
Fecha
2014-03-31Registro en:
SANTOS, Odilon Júlio dos. A relação de Euler para poliedros. 2014. 51 f. Dissertação (Mestrado em Álgebra; Análise matemática; Ensino de matemática; Geometria e topologia; Matemática aplicada) - Universidade Federal do Rio Grande do Norte, Natal, 2014.
Autor
Santos, Odilon Júlio dos
Resumen
In this paper we analyze the Euler Relation generally using as a means to visualize
the fundamental idea presented manipulation of concrete materials, so that there is
greater ease of understanding of the content, expanding learning for secondary students
and even fundamental. The study is an introduction to the topic and leads the reader
to understand that the notorious Euler Relation if inadequately presented, is not
sufficient to establish the existence of a polyhedron. For analyzing some examples,
the text inserts the idea of doubt, showing cases where it is not fit enough numbers to
validate the Euler Relation. The research also highlights a theorem certainly unfamiliar
to many students and teachers to research the polyhedra, presenting some very simple
inequalities relating the amounts of edges, vertices and faces of any convex polyhedron,
which clearly specifies the conditions and sufficient necessary for us to see, without the
need of viewing the existence of the solid screen. And so we can see various polyhedra
and facilitate understanding of what we are exposed, we will use Geogebra, dynamic
application that combines mathematical concepts of algebra and geometry and can be
found through the link http://www.geogebra.org
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