5 found
  1.  31
    Al-Khayyām's Conception of Ratio and Proportionality.Bijan Vahabzadeh - 1997 - Arabic Sciences and Philosophy 7 (2):247-263.
    Nous avons cherch dcle sur le Livre V des ments d'Euclide, m; et notamment de traduire en anglais les passages que nous avons jug d'expliquer pourquoi certains maths lfinition des grandeurs proportionnelles que l'on trouve au dléments.
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  2.  16
    Two Commentaries on Euclid's Definition of Proportional Magnitudes.Bijan Vahabzadeh - 1994 - Arabic Sciences and Philosophy 4 (1):181.
    Euclid's definition of proportional magnitudes in the Fifth Book of the Elements gave rise to many commentaries. We examine closely two of these commentaries, one by al-Jayy and the other by Saunderson. Both al-Jayy and Saunderson attempted to defend Euclid's definition by making explicit what Euclid had only implied. We show that the two authors explain Euclid's position in a virtually identical manner.
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  3.  24
    Le commentaire d'ibn muʿāḏ sur le concept de Rapport.Bijan Vahabzadeh - 2013 - Arabic Sciences and Philosophy 23 (2):221-276.
    The Andalusian mathematician and astronomer Ibn Mun the celebrated Definition V.5.
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  4. Commentary of Ibn Mu'ad on the Concept of Ratio.Bijan Vahabzadeh - 2013 - Arabic Sciences and Philosophy 23 (2):221 - 276.
  5.  59
    Al-MāhĀNĪ's Commentary on the Concept of Ratio: Bijan Vahabzadeh.Bijan Vahabzadeh - 2002 - Arabic Sciences and Philosophy 12 (1):9-52.
    The mathematician al-Māhānī is the author of one of the first commentaries on the fifth Book of Euclid's Elements which have been handed down to us. In this commentary, al-Māhānī intends to justify Definitions V. 5 and V. 7 of the Elements, which deal with the identity of ratios and with greater ratio, by starting from an anthyphairetic conception of ratio, and by proving the equivalence of the Euclidean and the anthyphairetic points of view. We will try in this paper (...)
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