Contents of al-Hawārī’s book

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DOI

10.34663/9783945561638-03

Citation

Abdeljaouad, Mahdi and Oaks, Jeffrey (2021). Contents of al-Hawārī’s book. In: Al-Hawārī’s Essential Commentary: Arabic Arithmetic in the Fourteenth Century. Berlin: Max-Planck-Gesellschaft zur Förderung der Wissenschaften.

Pages for the translation and our commentary are given below, followed by the page and line number of the Arabic edition. The Arabic portion of this book receives a separate pagination. It is placed after the English part, or at the beginning if you are an Arabic reader. The chapter and section titles in this index are sometimes paraphrased from the Arabic.

Trans. Comm. Edition
[Introduction] 59.1 59.1 59.1
Part I. Known numbers 61.9 61.9 61.9
  I.1 Whole numbers 63.1 63.1 63.1
    I.1.1 The divisions of numbers and their ranks 65.1 65.1 65.1
      § Knowing the index of the repeated number 71.12 71.12 71.12
    I.1.2 Addition 73.1 73.1 73.1
    I.1.3 Subtraction 83.1 83.1 83.1
      § Checking calculations by casting out 91.1 91.1 91.1
    I.1.4 Multiplication 95.1 95.1 95.1
    I.1.5 Division 117.1 117.1 117.1
      § Finding deaf parts 127.9 127.9 127.9
    I.1.6 Restoration and reduction 129.1 129.1 129.1
  I.2 Fractions 131.1 131.1 131.1
    I.2.1 Names of fractions and numerating them 134.1 134.1 134.1
    I.2.2 Adding and subtracting fractions 147.1 147.1 147.1
    I.2.3 Multiplying fractions 149.1 149.1 149.1
    I.2.4 Division and denomination 151.1 151.1 151.1
    I.2.5 Restoration and reduction 154.1 154.1 154.1
    I.2.6 Converting 157.1 157.1 157.1
  I.3 Roots 161.1 161.1 161.1
    I.3.1 Taking roots of whole numbers
           and fractions 163.1 163.1 163.1
      [Binomials and apotomes] 173.4 173.4 173.4
    I.3.2 Adding and subtracting roots 179.1 179.1 179.1
    I.3.3 Multiplying roots 183.1 183.1 183.1
    I.3.4 Dividing and denominating roots 187.1 187.1 187.1
Part II. Finding unknown numbers 191.1 191.1 191.1
  II.1. Solving problems with proportion 193.1 193.1 193.1
    [The four proportional numbers] 195.7 195.7 195.7
    [The method of scales (double false position)] 198.2 198.2 198.2
  II.2 Algebra 209.1 209.1 209.1
    II.2.1 The meaning of algebra 211.1 211.1 211.1
    II.2.2 Solving the six types [of equation] 213.1 213.1 213.1
    II.2.3 Addition and subtraction 219.1 219.1 219.1
          § Examples with the two sides
            of an equation 223.1 223.1 223.1
    II.2.4 Multiplication and knowing
           the power and the term 225.1 225.1 225.1
    II.2.5 Division 229.1 229.1 229.1
  § Secret numbers 231.1 231.1 231.1