Detalhes bibliográficos
Ano de defesa: |
2013 |
Autor(a) principal: |
Azevedo, Natália de Carvalho de |
Orientador(a): |
Cruz, José Yunier Bello
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Banca de defesa: |
Cruz, José Yunier Bello,
Seimetz, Rui,
Martins, Ivonildes Ribeiro |
Tipo de documento: |
Dissertação
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Tipo de acesso: |
Acesso aberto |
Idioma: |
por |
Instituição de defesa: |
Universidade Federal de Goiás
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Programa de Pós-Graduação: |
Programa de Pós-graduação em PROFMAT (RG)
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Departamento: |
Instituto de Matemática e Estatística - IME (RG)
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País: |
Brasil
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Palavras-chave em Português: |
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Palavras-chave em Inglês: |
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Área do conhecimento CNPq: |
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Link de acesso: |
http://repositorio.bc.ufg.br/tede/handle/tde/2948
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Resumo: |
The golden number and its geometry remote from Ancient Greece. The golden number is a real number that can be represented geometrically by dividing a segment in extreme and mean ratio. It is related to the act of determining a point C on a segment AB in order to obtain equal ratios between AB : AC and AC : CB. Its value is obtained by numerical solution of the quadratic equation obtained from this equality. From ruler and compass constructions of the golden mean other geometric constructions are made: triangles, rectangles, pentagons and spirals. The golden number has been present in arts, architecture and nature for years, and it presented in this work as a tool for study, focusing on presentation to high school students. |