Example.—If ⅜ of a yard of cloth cost £⅖, what will 5 16 of a yard cost?
| yd. | yd. | £. | s. d. | ||
| ⅜ = ·375 | As ·375 : | ·3125 | :: 4 : | ·333 &c. | or 6 8 |
| 4 | |||||
| ⅖ = ·4 | ·375) | ·12500 | (·3333 | &c. | |
| 1125 | 20 | ||||
| 5/16 = ·3215 | 1250s. | 6·666 | &c. | ||
| 1125 | 12 | ||||
| Answer, 6s. 8d. | 125d. | 7·999 | &c. nearly 8d. | ||
DUODECIMALS.
By Duodecimals, artificers, &c., compute the content of their works.
Rule.—Set down the two dimensions to be multiplied together one under the other, so that feet may stand under feet, inches under inches, &c.
Multiply each term in the multiplicand, beginning at the lowest, by the feet in the multiplier, and set the result of each straight under its corresponding term, observing to carry 1 for every 12, from the inches to the feet. In like manner multiply all the multiplicand by the inches, and parts of the multiplier, and set the result of each term one place removed to the right hand of those in the multiplicand: omitting, however, what is below parts of inches, only carrying to these the proper number of units from the lowest denominations. Or, instead of multiplying by the inches, take such part of the multiplicand as those are of a foot.
Then add the two lines together for the content required.
Example.—Multiply 14 feet 9 inches, by 4 feet 6 inches.
| ft. | in. | |
| 14 | 9 | |
| 4 | 6 | |
| 59 | 0 | |
| 7 | 4½ | |
| 66 | 4½ | Answer. |