Le Commentaire d'IBN Muʿāḏ Sur Le Concept De Rapport

The Andalusian mathematician and astronomer Ibn Muʿāḏ al-Jayyānī (11 th 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

Arabic · Art · Art history · Astronomer · Biography · Epistemology · Euclidean geometry · Geometry · Humanities · Linguistics · Literature · History · History and Theory of Mathematics · Mathematics · Mathematics and Applications · Philosophy · Probability and Statistical Research

• Biblioteca de Al-Andalus

  Open Access•Vicente Salvatierra Cuenca•Arqueología y Territorio Medieval•2006

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• Two Commentaries on Euclid's Definition of Proportional Magnitudes

  Open Access•Bijan Vahabzadeh•Arabic Sciences and Philosophy•1994

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• The Latin Version of lbn Mu c ādh's Treatise “On Twilight and the Rising of Clouds”

  Open Access•A Mark Smith•Arabic Sciences and Philosophy•1992

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• Al-khayyām's Conception of Ratio and Proportionality

  Open Access•Bijan Vahabzadeh•Arabic Sciences and Philosophy•1997

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• Al-Māhānī's Commentary on the Concept of Ratio

  Open Access•Bijan Vahabzadeh•Arabic Sciences and Philosophy•2002

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• Geschichte des arabischen Schrifttums

  Fuat Sezgin•Journal of Arabic Literature•1982

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