CHAPTER I. EGYPTIAN ARITHMETIC
SECTION I
Table of the Division of 2 by Odd Numbers
2 divided by 3
Get 2 by operating on 3. 2⁄3 of 3 is 2.
2 divided by 5
1⁄3 of 5 is 1 2⁄3, 1⁄15 of 5 is 1⁄3.
Working out:
1 | 5 | |
2⁄3 | 3 1⁄3 | |
[1]\ | 1⁄3 | 1 2⁄3 |
\ | 1⁄15 | 1⁄3. |
2 divided by 7
1⁄4 of 7 is 1 1⁄2 1⁄4, 1⁄28 of 7 is 1⁄4.
1 | 7 | ||||
1⁄2 | 3 1⁄2 | 1 | 7 | ||
\ | 1⁄4 | 1 1⁄2 1⁄4 | 2 | 14 | |
[2]\ | 4 | 28 | 1⁄4 | 4 | 28. |
2 divided by 9
1⁄6 of 9 is 1 1⁄2, 1⁄18 of 9 is 1⁄2.
1 | 9 | ||
2⁄3 | 6 | ||
1⁄3 | 3 | ||
\ | 1⁄6 | 1 1⁄2 | |
\ | 2 | 18 | 1⁄2. |
- ↑ See Introduction, page 4. The use of these checks is somewhat arbitrary. They are sometimes put with the wrong numbers. Often they are used only in some of the multiplications of a problem. In Problems 7-20 there are no checks at all and in certain other problems also (45, 46, 49, 51, 56, 66, and 79) they are absent. In this Free Translation I have tried to be a little more uniform, but to follow the original approximately.
- ↑ See Introduction, page 17.