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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Elipse de Steiner / Steiner's Ellipse

Santana, Gleisson Rodrigues 26 September 2014 (has links)
Submitted by Luanna Matias (lua_matias@yahoo.com.br) on 2015-02-09T14:23:51Z No. of bitstreams: 2 Dissertação - Gleisson Rodrigues Santana - 2014.pdf: 8324640 bytes, checksum: 7800065ef09bc6ed1b331e277537350b (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) / Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2015-02-20T11:23:23Z (GMT) No. of bitstreams: 2 Dissertação - Gleisson Rodrigues Santana - 2014.pdf: 8324640 bytes, checksum: 7800065ef09bc6ed1b331e277537350b (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) / Made available in DSpace on 2015-02-20T11:23:23Z (GMT). No. of bitstreams: 2 Dissertação - Gleisson Rodrigues Santana - 2014.pdf: 8324640 bytes, checksum: 7800065ef09bc6ed1b331e277537350b (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) Previous issue date: 2014-09-26 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / This work is focused on demonstrating, using geometric tools, the Steiner's Ellipse theorem which says that all ellipses entered in a given triangle, the larger area is touching the triangle sides in their respective middle points. For this we did, in chapter one, an approach to the study of triangles, the ellipses, the orthogonal projection, and we present some results of arithmetic and geometry, this work titled as preliminary lemmas, to be the tools (prerequisites) for proof the theorem that the main is made in chapter two. We conclude by presenting, in chapter three, some applications and some scripts for lessons in how to use the ellipse, and in particular Steiner's Ellipse, day-to-day and in the classroom. / Este trabalho tem como tema central demonstrar, usando ferramentas geométricas, o teorema da Elipse de Steiner que diz que de todas as elipses inscritas em um triângulo dado, a de maior área é a que toca os lados do triângulo nos seus respectivos pontos médios. Para isto zemos, no Capítulo um, uma abordagem sobre o estudo dos triângulos, da elispse, e da projeção ortogonal, e apresentamos alguns resultados de aritmética e geometria, neste trabalho intitulados como lemas preliminares, para serem as ferramentas (os pré-requisitos) para a demonstração do teorema principal, que é feita no Capítulo dois. Concluímos o trabalho apresentando, no Capítulo três, algumas aplicações e alguns roteiros de aulas, de como utilizar a elipse, e em particular a Elipse de Steiner, no dia-a-dia e na sala de aula.

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