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A característica de EulerJustino, Gildeci José 24 September 2013 (has links)
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Previous issue date: 2013-09-24 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / This dissertation is focused on the Euler's theorem for polyhedra homeomorphic
to the sphere. Present statements made by Cauchy, Poincaré and Legendre. As
a consequence we show that there are only ve regular convex polyhedra, called
polyhedra Plato. / Esta dissertação tem como tema central o Teorema de Euler para poliedros homeomorfos
à esfera. Apresentamos demonstrações feitas por Cauchy, Poincaré e
Legendre. Como consequência mostramos a existência de apenas cinco poliedros
convexos regulares, os chamados poliedros de Platão.
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