Mestrado Profissional em Matemática em Rede Nacional (IME)
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Navegando Mestrado Profissional em Matemática em Rede Nacional (IME) por Autor "Azevedo, Natália de Carvalho de"
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Item O número de ouro e construções geométricas(Universidade Federal de Goiás, 2013-03-22) Azevedo, Natália de Carvalho de; Cruz, José Yunier Bello; http://lattes.cnpq.br/8377200040018415; Cruz, José Yunier Bello; Seimetz, Rui; Martins, Ivonildes RibeiroThe 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.