49]
SECTION III—AREAS
91
SECTION II
Problem 47. Division of 100 Hekat
Problem 47
Suppose the scribe says to thee, Let me know what is the result when 100 quadruple hekat are divided by 10 and its multiples, in a rectangular or circular granary.
| 1⁄10 | becomes | of | grain | 10 quadruple hekat | |||
| 1⁄20 | " | " | " | 5 | hekat | ||
| 1⁄30 | " | " | " | 31⁄41⁄161⁄64 | " | 12⁄3 | ro |
| 1⁄40 | " | " | " | 21⁄2 | " | ||
| 1⁄50 | " | " | " | 2 | " | ||
| 1⁄60 | " | " | " | 11⁄21⁄81⁄32 | " | 31⁄3 | " |
| 1⁄70 | " | " | " | 11⁄41⁄81⁄321⁄64 | " | 21⁄141⁄211⁄42 | " |
| 1⁄80 | " | " | " | 11⁄4 | " | ||
| 1⁄90 | " | " | " | 11⁄161⁄321⁄64 | " | 1⁄21⁄18 | " |
| 1⁄100 | " | " | " | 1 | " |
In the original the scribe is made to ask only for Mo, but the author gives 2⁄10 3⁄10, etc.
SECTION III
Problems 48-55. Problems of Area
Problem 48
Compare the area of a circle and of its circumscrbing square.
| The circle of diameter 9. | The square of side 9. | ||||||||
| 1 | 8 | setat | \ | 1 | 9 | setat | |||
| 2 | 16 | " | 2 | 18 | " | ||||
| 4 | 32 | " | 4 | 36 | " | ||||
| \ | 8 | 64 | style="text-align:center;" | " | \ | 8 | 72 | style="text-align:center;" | " |
| Total | 81 | " | |||||||
Problem 49
Example of reckoning area. Suppose it is said to thee, What is the area of a rectangle of land of 10 khet by 1 khet?
Do it thus:
| 1 | 1,000 | |
| 10 | 10,000 | |
| 100 | 100,000 | |
| 1⁄10 | 10,000 | |
| 1⁄10 of 1⁄10 | 1,000. |
This is its area.
