Solving tangency problems by inversions and engineering applications. / Resolução de problemas de tangências por inversões e aplicações à engenharia.

AUTOR(ES)
DATA DE PUBLICAÇÃO

2007

RESUMO

A new method to solve the tenth case of Appolonius problem is presented in this study. This method is based on the geometric transformation called inversion and the concept of coaxal circumferences. Besides allowing the resolution of all configurations of the problem, it can also be used to solve other problems. We indicate the importance of the subject about geometric constructions in teaching Drawing, which, since a long time ago has given attention only to the development of the spatial visualization ability. We detach along the text how the teaching of geometric construction can be used efficiently to foment the deductive logical reasoning of the students through the practice of demonstrations.

ASSUNTO(S)

geometric constructions problemas de tangência geometric transformations - inversion tangency problems desenho geométrico transformações geométricas - inversões

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