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Article ID: CBB000933050

Les constructions géométriques entre géométrie et algèbre: L'Épître d'Abū al-Jūd à al-Bīrūnī (2010)

Rashed, Roshdi (Author)

Arabic Sciences and Philosophy
Volume: 20
Pages: 1--51

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Mathematics Algebra Mathematicians Solid geometry Correspondence and corresponding Translations Arab/Islamic world, civilization and culture Medieval 10th century Ibn al-Layth, Abu al-Jud Muhammad al-Bīrūnī, Muḥammad ibn Aḥmad

Abu al-Jud Mu?ammad ibn al-Layth is one of the mathematicians of the 10th century who contributed most to the novel chapter on the geometric construction of the problems of solids and super-solids, and also to another chapter on solving cubic and bi-quadratic equations with the aid of conics. His works, which were significant in terms of the results they contained, are moreover important with regard to the new relations they established between algebra and geometry. Good fortune transmitted to us his correspondences with the mathematician and astronomer al-Biruni. The questions they debated, and the answers they yielded, all offer us multiple in vivo perspectives on the research that was undertaken in that period. The reader would find in this article a critical edition and French translation of this correspondence, with historical and mathematical commentaries.

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