Ibn al-Šāṭir, L'achèvement de l'enquête et la correction des fondements / Kitāb nihāya al-sūl fī taṣḥīḥ al-ʾusūl. Édition, traduction et commentaire mathématique par Erwan Penchèvre - Archive ouverte HAL Accéder directement au contenu
Ouvrages Année : 2021

Ibn al-Šāṭir, L'achèvement de l'enquête et la correction des fondements / Kitāb nihāya al-sūl fī taṣḥīḥ al-ʾusūl. Édition, traduction et commentaire mathématique par Erwan Penchèvre

Résumé

This book is a critical edition of a treatise of astronomy by the Syrian scholar Ibn al-Šāṭir (1304-1375). The Arabic text has been established on the basis of several manuscript copies, and it has been translated into French; a bilingual index is also provided. This treatise is one of the latest and one of the most elaborate medieval work on theoretical astronomy; it is famous today for having provided the first viable lunar model in terms of the distance Moon-Earth. Although demonstrations have been consigned to another manuscript which is now lost, we reconstruct the physical models in our mathematical commentary, and we attempt at a better historical understanding of the nascent concepts of space transformations, solid reference frames, trajectory, etc. Predictions of the models are to be compared to observations and to other contemporary models, as well as theoretical premises; in turn, when records of observations are missing, those have to be recalculated by modern means. Part of our commentary is devoted to the latitudinal movement of the five planets: Ibn al-Šāṭir's work on this problem belongs to a tradition initiated by Ibn al-Hayṯam three centuries before. Ibn al-Šāṭir addresses a clever criticism to the work of his predecessor Naṣīr al-Dīn al-Ṭūsī on this problem, thus revealing a better understanding of affine rotations in space. Many other criticisms by Ibn al-Šāṭir, especially to the astronomers working at Marāġa during the 13th century, also contribute to a better knowledge of their own work.
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hal-04403194 , version 1 (18-01-2024)

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Erwan Penchèvre. Ibn al-Šāṭir, L'achèvement de l'enquête et la correction des fondements / Kitāb nihāya al-sūl fī taṣḥīḥ al-ʾusūl. Édition, traduction et commentaire mathématique par Erwan Penchèvre. 2021, 978-2-9577956-0-4. ⟨hal-04403194⟩
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