O número de ouro e construções geométricas
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2013-03-22
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Universidade Federal de Goiás
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.
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AZEVEDO, Natália de Carvalho de. O número de ouro e construções geométricas. 2013. 46 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2013.