La proportionnalité numérique dans le livre VII des Éléments de Campanus

Abstract : Campanus' 13th-century version of Euclid's Elements is not a translation but a comment written on the basis of Arabic-Latin 12th-century sources and original works such as Jordanus' Arithmetic. The study of numerical proportionality in Book VII shows the nature and scope of Campanus' work on Euclid's treatise as it was transmitted to him. We shall see that Campanus' reflexions are inscribed in the Euclidean project itself, which, mostly concerned with the logical structure of the treatise, he sought to explain and strengthen. In this perspective, he distinguished fundamental notions in this theory, such as "part" and "parts", and introduced the medieval notion of "denomination of a numerical ratio".
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https://halshs.archives-ouvertes.fr/halshs-00070821
Contributor : Sabine Rommevaux <>
Submitted on : Sunday, May 21, 2006 - 9:04:37 AM
Last modification on : Tuesday, July 3, 2018 - 11:47:15 AM

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Sabine Rommevaux. La proportionnalité numérique dans le livre VII des Éléments de Campanus. Revue d'Histoire des Mathématiques, Society Math De France, 1999, 5, pp.83-126. ⟨http://smf4.emath.fr/Publications/RevueHistoireMath/5/html/smf_rhm_5_83-126.html⟩. ⟨halshs-00070821⟩

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