SERENUS D'ANTINOË DANS LA TRADITION GRÉCO-ARABE DESCONIQUES

Abstract

Mainly based on the study of a hitherto neglected epigraphic document from Antinoë, the present article aims at showing that the geometer Serenus – the author of two treatises On the Section of a Cylinder and On the Section of a Cone – lived at the beginning of the 3rdcentury AD. On the ground of a renewed study of various elements taken both from the treatises and the indirect tradition, it also suggests that Serenus must be placed among a scientific tradition closely linking geometry of conics and catoptrics that can be traced back to the works of Conon of Samos and Pythion of Thasos. This hypothesis raises the problem of the nature of his alleged Platonism, which is examined in relation to Menaechmus' heterodox constructivism. Finally, the study of an element in the Arabic transmission of the treatise on Conics by Apollonius enables us to clarify some point regarding the textual tradition of the treatises On the Section of a Cylinder and On the Section of a Cone.