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An Exciting New Arabic Version of Euclid’s Elements: MS Mumbai, MULLĀ FĪ RŪ Z R.I.6

Sonja Brentjes (2006)

Revue d'histoire des mathématiques

This paper introduces an anonymous and undated Arabic version of Euclid’s Elements. It tries to determine its relationship to the textual history of the Arabic Elements as known today. The value of the version, the paper argues, is its close relationship to the works of the first known translator of Euclid’s Elements into Arabic, al-Ḥajjāj b.Yūsuf b.Maṭar, the light it sheds on philosophical debates surrounding the Elements, and the new textual basis (BooksI toIX with some lacunae) it yields for...

Rationalité, exprimabilité : une relecture médiévale du livre X des Éléments d’Euclide

Sabine Rommevaux (2001)

Revue d'histoire des mathématiques

Dans cet article, nous étudions la réception des Éléments d’Euclide par un mathématicien du xiiie siècle : Campanus. Nous nous intéressons à la nature de son travail sur le LivreX, à propos de la théorie de l’irrationalité. Dans la version de Robert de Chester, que Campanus utilise pour son édition, apparaissent deux notions qui ne sont pas euclidiennes, celles de « droites rationnelles en longueur » et de « droites rationnelles en puissance ». Nous nous demandons si l’introduction de ces notions...

What is new and what is old in Viète’s analysis restituta and algebra nova, and where do they come from ? Some reflections on the relations between algebra and analysis before Viète

Marco Panza (2007)

Revue d'histoire des mathématiques

François Viète considered most of his mathematical treatises to be part of a body of texts he entitled Opus restitutæ mathematicæ analyseos seu algebra nova. Despite this title and the fact that the term “algebra” has often been used to designate what is customarily regarded as Viète’s main contribution to mathematics, such a term is not part of his vocabulary. How should we understand this term, in the context of the title of his Opus, where “new algebra” is identified with “restored analysis”?...

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