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MAROUANE BEN MILED

Biographic Data

ID9294515
NAMEMAROUANE BEN MILED
GIVEN NAMESMAROUANE BEN
FAMILY NAMEMILED
SIGNATUREBEN MILED M
AFFILIATIONSNational Engineering School of Tunis
VERIFIEDNo
TOTAL WORKS2
TOTAL CITATIONS0
WORKS AS AUTHOR2
WORKS AS EDITOR0
FIRST PUBLICATION YEAR1999
LATEST PUBLICATION YEAR2008
H-INDEX0
  • Mesurer Le Continu, Dans La Tradition Arabe Des Livres v Et X Des Éléments

    Open Access•MAROUANE BEN MILED•ARTICLE•Arabic Sciences and Philosophy•2008

    In order to find positive solutions for third-degree equations, which he did not know how to solve for roots, ‘Umar al-Khayyām proceeds by the intersections of conic sections. The representation of an algebraic equation by a geometrical curve is made possible by the choices of units of measure for lengths, surfaces, and volumes. These units allow a numerical quantity to be associated with a geometrical magnitude. Is there a trace of this unit in …

  • Les commentaires d'al-Māhānī et d'un anonyme du Livre X des Éléments d'Euclide

    Open Access•MAROUANE BEN MILED•ARTICLE•Arabic Sciences and Philosophy•1999

    This paper presents the first edition, translation and analyse of al-Māhānī’s commentary of the Book X of Euclid’s Elements (9th century, the most ancient to have reached us) and of an anonymous’ one (prior to 968, among the first algebraic commentaries). For the first time, irrational numbers are defined and classified. The algebraisation of Elements’ X-91 to 102, on the basis of al-Khwārizmī’s Algebra , shows irrational numbers as solution to a…

No prominent works on this page.

  • Les commentaires d'al-Māhānī et d'un anonyme du Livre X des Éléments d'Euclide

    Open Access•MAROUANE BEN MILED•ARTICLE•Arabic Sciences and Philosophy•1999

    This paper presents the first edition, translation and analyse of al-Māhānī’s commentary of the Book X of Euclid’s Elements (9th century, the most ancient to have reached us) and of an anonymous’ one (prior to 968, among the first algebraic commentaries). For the first time, irrational numbers are defined and classified. The algebraisation of Elements’ X-91 to 102, on the basis of al-Khwārizmī’s Algebra , shows irrational numbers as solution to a…

  • Mesurer Le Continu, Dans La Tradition Arabe Des Livres v Et X Des Éléments

    Open Access•MAROUANE BEN MILED•ARTICLE•Arabic Sciences and Philosophy•2008

    In order to find positive solutions for third-degree equations, which he did not know how to solve for roots, ‘Umar al-Khayyām proceeds by the intersections of conic sections. The representation of an algebraic equation by a geometrical curve is made possible by the choices of units of measure for lengths, surfaces, and volumes. These units allow a numerical quantity to be associated with a geometrical magnitude. Is there a trace of this unit in …

Algebra over a field (2 works) · Algebraic number (2 works) · Geometry (2 works) · Historical Astronomy and Related Studies (2 works) · History and Theory of Mathematics (2 works) · Irrational number (2 works) · Law (2 works) · Mathematical analysis (2 works) · Mathematics (2 works) · Philosophy (2 works)

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