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- W2023366989 abstract "Les Spheriques ont ete ecrites par Menelaos sous la forme d’un traite d’apparence purement mathematique. Cependant, la matiere qui y est developpee dans les deuxieme et troisieme livres est etroitement liee a des problemes rencontres en astronomie: calcul des coordonnees equatoriales du Soleil, etablissement de tables d’ascensions, etude du mouvement du Soleil dans la sphere oblique, levers simultanes. Ce lien, qui demeure implicite dans le texte, a ete mis en evidence par deux mathematiciens et astronomes arabo-musulmans, Open image in new window qui ont expose la signification astronomique de certains theoremes des Spheriques. Nous presenterons, commenterons et completerons cette explicitation en classant les theoremes concernes en trois groupes: sens de variation de certaines grandeurs sur la sphere, propositions de trigonometrie spherique et applications, sens de variation de rapports entre certaines grandeurs sur la sphere. The Spherics were written by Menelaos in the form of a purely mathematical treatise. However, the material developed in the second and third book is closely linked to problems met in astronomy: computation of equatorial coordinates of the Sun, setting up of rising-time tables, study of the motion of the Sun in the sphaera obliqua, simultaneous risings. This link, which remains implicit in the text, was clearly displayed by two arabo-islamic mathematicians and astronomers, Open image in new window who expounded the astronomical meaning of some theorems of the Spherics. We describe, comment and complement their explanations, by classifying the implications of the theorems in three groups: direction of variation of some quantities on the sphere, spherical trigonometry and applications, direction of variation of ratios of some quantities on the sphere." @default.
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- W2023366989 date "2004-07-01" @default.
- W2023366989 modified "2023-10-03" @default.
- W2023366989 title "Le contenu astronomique des Sphériques de Ménélaos" @default.
- W2023366989 doi "https://doi.org/10.1007/s00407-004-0084-7" @default.
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