O Problema das Duas Médias Proporcionais
Descartes entre Mydorge e Roberval (1625-1637)
DOI:
https://doi.org/10.35920/1414-3004.2021v26n1p122-146Keywords:
Duas Médias Proporcionais, Geometria, Descartes, Mydorge, Roberval, Mersenne, Two Mean ProportionalsAbstract
Resumo
O presente texto tem dois objetivos. Primeiro, o de reconstruir as lacunas do desenvolvimento histórico do problema das duas médias proporcionais tal como foi investigado por Descartes e outros matemáticos de seu círculo (Mersenne, Beeckman, Mydorge e Roberval, nomeadamente) antes da publicação d’A Geometria (isto é: o período entre 1625-1637), acompanhado da tradução das demonstrações que foram o resultado dessa interação. Em segundo, o de extrair alguns elementos que justifiquem as preferências demonstrativas de Descartes a partir de uma comparação de sua demonstração com as de Mydorge e Roberval.
Palavras-chave: duas médias proporcionais; geometria; Descartes; Mydorge; Roberval; Mersenne.
Abstract
This paper has two aims. First, I fill the lacunae in the historical development of the problem of the two mean proportional as investigated by Descartes and other mathematicians of his circle (namely Mersenne, Beeckman, Mydorge, and Roberval) before the publication of The Geometry (i. e.: the period between 1625-1637), accompanied by the translation of the demonstrations that were the result of the interaction between them. Secondly, I draw some elements that justify Descartes’s demonstrative preferences from a comparison of his demonstration with those of Mydorge and Roberval.
Keywords: two mean proportionals; geometry; Descartes; Mydorge; Roberval; Mersenne.
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References
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