LE COMMENTAIRE D'IBN MUʿĀḎ SUR LE CONCEPT DE RAPPORT

Abstract

AbstractThe Andalusian mathematician and astronomer Ibn Muʿāḏ al-Jayyānī (11th century) is the author of an important commentary on the concept of ratio, in which he attempts to justify the Euclidean definition of proportionality between magnitudes – the celebrated Definition V.5 – and that of greater ratio. In addition to an analysis of the commentary, we provide a French translation and a critical edition of the original Arabic text. We also attempted to settle some problems linked to the biography of Ibn Muʿāḏ.