Magic Squares in the Tenth Century

Two Arabic Treatises by Anṭākī and Būzjānī

  • Jacques Sesiano

Table of contents

  1. Front Matter
    Pages i-viii
  2. Tenth-century construction methods

    1. Front Matter
      Pages 1-18
    2. Jacques Sesiano
      Pages 19-42
    3. Jacques Sesiano
      Pages 43-66
    4. Jacques Sesiano
      Pages 67-103
    5. Jacques Sesiano
      Pages 104-115
  3. Translation

    1. Front Matter
      Pages 117-117
    2. Jacques Sesiano
      Pages 119-205
    3. Jacques Sesiano
      Pages 207-255
  4. Arabic texts

    1. Front Matter
      Pages 257-258
    2. Jacques Sesiano
      Pages 259-334
    3. Jacques Sesiano
      Pages 335-384
  5. Back Matter
    Pages 385-394

About this book


This volume contains the texts and translations of two Arabic treatises on magic squares, which are undoubtedly the most important testimonies on the early history of that science. It is divided into the three parts: the first and most extensive is on tenth-century construction methods, the second is the translations of the texts, and the third contains the original Arabic texts, which date back to the tenth century. 


odd-order squares Al-Kharaqī Nicomachos even-order bordered squares subsquares

Authors and affiliations

  • Jacques Sesiano
    • 1
  1. 1.Département de MathématiquesStation 8, Ecole polytechnique fédéraleLausanneSwitzerland

Bibliographic information

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