A hipérbole e suas aplicações
Autor(a) principal: | |
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Data de Publicação: | 2013 |
Tipo de documento: | Dissertação |
Idioma: | por |
Título da fonte: | Repositório Institucional da UFG |
Texto Completo: | http://repositorio.bc.ufg.br/tede/handle/tede/3442 |
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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Tonon, Durval Joséhttp://lattes.cnpq.br/3688981956532711Tonon, Durval JoséRodrigues, Luciana Maria Dias de ÁvilaSouza, Anyelle Nogueira dehttp://lattes.cnpq.br/7893427293308742Silva, Diego Maradona Félix da2014-10-23T12:38:00Z2013-03-15SILVA, 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.http://repositorio.bc.ufg.br/tede/handle/tede/3442The 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.A Hipérbole e suas Aplicações inicia-se com um breve contexto histórico sobre o qual se originou o estudo das cônicas e propõe uma abordagem diferenciada para o estudo de cônicas no Ensino Médio devido a grande quantidade de aplicações importantes das propriedades das cônicas no cotidiano. O primeiro capítulo do trabalho trata-se dos conceitos preliminares para um bom estudo da hipérbole. Logo em seguida apresentamos o conceito de hipérbole, seus principais elementos, rotação de eixos e propriedades da hipérbole. Dentre essas propriedades, o principal objeto de estudo será a propriedade re etora da hipérbole, pois é esta que tem aplicações nos mais variados ramos da ciência tal como Astronomia, nos telescópios e na navegação. Algumas aplicações serão citadas brevemente e outras abordadas com mais detalhes. Finalizando, apresentaremos um novo sistema de coordenadas também muito utilizado: o sistema de Coordenadas Polares e adotando esse novo sistema, deduzir as equações da elipse, parábola e hipérbole.Submitted by Luciana Ferreira (lucgeral@gmail.com) on 2014-10-23T12:13:58Z No. of bitstreams: 2 Dissertação - Diego Maradona Félix da Silva - 2013.pdf: 10239500 bytes, checksum: 681c4dea258fdbd3bf04715b9c50c6c0 (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2014-10-23T12:38:00Z (GMT) No. of bitstreams: 2 Dissertação - Diego Maradona Félix da Silva - 2013.pdf: 10239500 bytes, checksum: 681c4dea258fdbd3bf04715b9c50c6c0 (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)Made available in DSpace on 2014-10-23T12:38:00Z (GMT). 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dc.title.por.fl_str_mv |
A hipérbole e suas aplicações |
dc.title.alternative.eng.fl_str_mv |
The hyperbole and its applications |
title |
A hipérbole e suas aplicações |
spellingShingle |
A hipérbole e suas aplicações Silva, Diego Maradona Félix da Geometria analítica Cônicas Parábola Hipérbole Coordenadas polares Analytical geometry Conics Parable Hyperbole Polar coordinates CIENCIAS EXATAS E DA TERRA::MATEMATICA |
title_short |
A hipérbole e suas aplicações |
title_full |
A hipérbole e suas aplicações |
title_fullStr |
A hipérbole e suas aplicações |
title_full_unstemmed |
A hipérbole e suas aplicações |
title_sort |
A hipérbole e suas aplicações |
author |
Silva, Diego Maradona Félix da |
author_facet |
Silva, Diego Maradona Félix da |
author_role |
author |
dc.contributor.advisor1.fl_str_mv |
Tonon, Durval José |
dc.contributor.advisor1Lattes.fl_str_mv |
http://lattes.cnpq.br/3688981956532711 |
dc.contributor.referee1.fl_str_mv |
Tonon, Durval José |
dc.contributor.referee2.fl_str_mv |
Rodrigues, Luciana Maria Dias de Ávila |
dc.contributor.referee3.fl_str_mv |
Souza, Anyelle Nogueira de |
dc.contributor.authorLattes.fl_str_mv |
http://lattes.cnpq.br/7893427293308742 |
dc.contributor.author.fl_str_mv |
Silva, Diego Maradona Félix da |
contributor_str_mv |
Tonon, Durval José Tonon, Durval José Rodrigues, Luciana Maria Dias de Ávila Souza, Anyelle Nogueira de |
dc.subject.por.fl_str_mv |
Geometria analítica Cônicas Parábola Hipérbole Coordenadas polares |
topic |
Geometria analítica Cônicas Parábola Hipérbole Coordenadas polares Analytical geometry Conics Parable Hyperbole Polar coordinates CIENCIAS EXATAS E DA TERRA::MATEMATICA |
dc.subject.eng.fl_str_mv |
Analytical geometry Conics Parable Hyperbole Polar coordinates |
dc.subject.cnpq.fl_str_mv |
CIENCIAS EXATAS E DA TERRA::MATEMATICA |
description |
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. |
publishDate |
2013 |
dc.date.issued.fl_str_mv |
2013-03-15 |
dc.date.accessioned.fl_str_mv |
2014-10-23T12:38:00Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
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info:eu-repo/semantics/masterThesis |
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masterThesis |
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publishedVersion |
dc.identifier.citation.fl_str_mv |
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. |
dc.identifier.uri.fl_str_mv |
http://repositorio.bc.ufg.br/tede/handle/tede/3442 |
identifier_str_mv |
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. |
url |
http://repositorio.bc.ufg.br/tede/handle/tede/3442 |
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Universidade Federal de Goiás |
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Universidade Federal de Goiás |
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