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 |