A hipérbole e suas aplicações
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Data
2013-03-15
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Universidade Federal de Goiás
Resumo
The Hyperbole and its Applications begins with a brief historical background on the
origins of the conic sections analysis, followed by a proposition of a new approach
to the conic sections studies in High School, due to the large amount of important
applications these studies have in everyday life.
The rst chapter of the research presents the primary concepts necessary to a good
hyperbole study understanding. After presenting this concepts the research focuses in
the evidence of the hyperbole concept, its most important elements, the rotary axis
and the hyperbole properties. Among these properties, the main object of this study is
the re ective hyperbole property, since it can be applied to many elds of study such as
Astronomy, in the Telescopes and even Navigations. Some other properties are brie y
mentioned during this work and others have a more detailed approach.
Finally, a largely used new coordinates system is presented - the Polar Coordinate
System. The research purpose is to infer, by the use of this new system, the equations
of the ellipse, parable and hyperbole.
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SILVA, Diego Maradona Félix da. A hipérbole e suas aplicações. 2013. 105 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2013.