PROB. 8. Having the length of the Oblong, to find the breadth of the acre.
As the length in perches to 160, so is one acre to the breadth in perches. As 40 to 160, so is 1 to 4. Again, as
The description and use of the carpenters-rule: together with the use of the line of numbers (inscribed thereon) in arithmetick and geometry. And the application thereof to the measuring of superficies and solids, gaging of vessels, military orders, interest and annuities: with tables of reduction, &c. : To which is added, the use of a (portable) geometrical sun-dial, with a nocturnal on the backside, for the exact and ready finding the hour of the day and night: and other mathematical conclusions. Also of a universal-dial for the use of seamen or others. With the use of a sliding or glasiers-rule and Mr. White's rule for solid measure. / Collected and fitted to the meanest capacity by J. Browne.
About this Item
- Title
- The description and use of the carpenters-rule: together with the use of the line of numbers (inscribed thereon) in arithmetick and geometry. And the application thereof to the measuring of superficies and solids, gaging of vessels, military orders, interest and annuities: with tables of reduction, &c. : To which is added, the use of a (portable) geometrical sun-dial, with a nocturnal on the backside, for the exact and ready finding the hour of the day and night: and other mathematical conclusions. Also of a universal-dial for the use of seamen or others. With the use of a sliding or glasiers-rule and Mr. White's rule for solid measure. / Collected and fitted to the meanest capacity by J. Browne.
- Author
- Brown, John, philomath.
- Publication
- London, :: Printed by W.G. for William Fisher ...,
- 1667.
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- Subject terms
- Mensuration -- Early works to 1800.
- Mathematical instruments -- Early works to 1800.
- Navigation -- Early works to 1800.
- Cite this Item
-
"The description and use of the carpenters-rule: together with the use of the line of numbers (inscribed thereon) in arithmetick and geometry. And the application thereof to the measuring of superficies and solids, gaging of vessels, military orders, interest and annuities: with tables of reduction, &c. : To which is added, the use of a (portable) geometrical sun-dial, with a nocturnal on the backside, for the exact and ready finding the hour of the day and night: and other mathematical conclusions. Also of a universal-dial for the use of seamen or others. With the use of a sliding or glasiers-rule and Mr. White's rule for solid measure. / Collected and fitted to the meanest capacity by J. Browne." In the digital collection Early English Books Online 2. https://name.umdl.umich.edu/A77649.0001.001. University of Michigan Library Digital Collections. Accessed May 8, 2024.
Pages
Page 73
50 to 160, so is 1 to 3.20, so is 2 to 6 40; or again if you measure by chains, As the length in Chains to 10, so is 1 acre to his breadth in Chains; as 12 50 unto 10, so 1 to 0. 80, or if the length be measured by foot measure, then as the length in feet unto 43560 so is 1 acre to his breadth in foot measure.
So the length of the oblong being 792 feet, the breadth of one acre will be found to be 55 foot, the breadth of 2 acres 110 feet.
The use of this Table is to shew you how many Inches, Centesmes of a Chain, feet, yards, paces, perches, chains, acres, there is in a mile, either long or square, or consequently any of them all, in any of the other that is less; as for example, I would know how many Inches there is in a long berch, I look on the uppermost row for perches, and in the next row under, I find 198 for the quantity of inches in a long perch. But if I would know now many inches there is in a square
Page 74
perch, then look for perch on the left hand, and in the inch colume you have 39204, for if you multiply 196 by 196, it will produce 39204.
Page [unnumbered]
| Inch. | Centesme. | Feet. | Yard. | Pace. | Perch. | Chain. | Acre. | Mile. | |
| Inch. | [1] | 7 92 | 12 | 36 | 60 | 198 | 792 | 7920 | 63360 |
| Centes | 62 7264 | [1] | 1. 515 | 4 545 | 7 575 | 25 | 100 | 1000 | 8000 |
| Feet. | 144 | 2 295 | [1] | 3 | 5 | 16 5 | 66 | 660 | 5280 |
| Yards. | 1296 | 20 655 | 9 | [1] | 1 66 | 5 50 | 22 | 220 | 1760 |
| Pace. | 3600 | 57 485 | 25 | 8 335 | [1] | 3 30 | 13 2 | 132 | 1056 |
| Perch. | 39204 | 625 | 272.25 | 90 75 | 10. 89 | [1] | 4 | 40 | 320 |
| Chain | 627264 | 10000 | 4356 | 1452 | 17424 | 16 | [1] | 10 | 80 |
| Acre. | 6272640 | 100000 | 43560 | 14520 | 1742.4 | 160 | 10 | [1] | 8 |
| Mlie. | 4014489600 | 64000000 | 27878400 | 9292800 | 1115136 | 102400 | 6400 | 640 | [1] |
| Squar. | Inches. | Centesmes. | Feet. | Yards. | Pace. | Perch. | Chain | Acre. | Mile. |
Page 76
The like is for any other number in the whole Table, an•• is of very good use to reduce one number into another, or one sort of measure into another: as inches into feet, and feet into Yards, and Yards into Perches, and Perches to Chains, and Chains into Acres, and Acres into Miles, or the contrary either long-wise or square- wise: as is well known to them that have occasion for these measures. Thus much shall suffice for Superficial measure, the practice of which will make it plain to any ordinary capaci∣ty.