Fi: o número de ouro
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2014-03-01
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Universidade Federal de Goiás
Resumo
It is shown, in this work, a study about the golden number, represented by the greek
character (pronounced as \Fi"), in tribute to the greek sculptor F dias, who used to
use this number in his works. It is done an algebraic approach, which is shown how
to reach the number , using reasons, proportions and equations of second grade. It is
also used geometric constructions for its achievement. The used metodology is made
of theory and practice, proposing activities where the concret assists the instruction of
abstract geometry, in the construction, for example, of the golden rectangle and the
logarithmic spiral. It is also shown the intrinsic relationship of the golden number and
the Fibonacci sequence and, as well, it is shown that is an irrational and algebric
number. The main goal is to promote the thinking of the importance of this number
through a project to be developed at the same time as the classes, for students of
secondary schools.
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KFOURI, Viviane de Oliveira. Fi: o número de ouro. 2014. 63 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2014.