Roshdi Rashed & Hélène Bellosta 
Apollonius de Perge, La section des droites selon des rapports 
Commentaire historique et mathématique, édition et traduction du texte arabe

The treatise De Rationis Sectione by Apollonius of Perge, which deals with a unique and difficult problem, is a remarkable, complex example of the study of the necessary pre-conditions for the existence of a solution. This volume presents the editio princeps of the text, which has only survived in an Arabic version. It is made accessible in the form of a French translation and a commentary that reveals the mechanisms of Apollonius’ difficult proof, and draws particular attention to its conceptual innovations.

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