If you multiply 14 by 2 the product is 28 feet by the first rule. Secondly 14 feet by 9 inches makes 126 inches, and 2 feet by 6 inches makes 12 inches more, in all 138, which being divi∣ded by 1••, the quotient is 11 feet 6 inches. Third∣ly, 6 inches by 9 inches makes 54, which being divided by 12 the quotient is 4 inches and a half. Fourthly, 14 feet by 3 quarters of an inch makes 42, and 2 feet by 3 quarters makes 6 more, in all 48, which being divided by 12 the quotient is 4 quarters or one foot. Fifthly, 6 inches by 3 quarters make 18, and 9 inches by 3 quarters make 27, in all 45, which being divided by 12 the quotient is 3 quarters and 9/1•• or ¾ of a quarter or 〈◊〉〈◊〉. Sixthly, 3 quarters by 3 quarters makes 9/12, which is the numerator of a fraction whose de∣nominator is 48 the number of quarters in a foot, and 〈◊〉〈◊〉 is equal to ••/1•• or 1••••5/10000 and so the content of this board is 40 feet 11 inches 1 quarter and ••••/•••• of a quarter, as here you see; for 9/1•• more ••/1•• being reduced as shall be shewed in the doctrine of vulgar fractions, are equal to 15/1••. * 1.1
The compleat arithmetician, or, The whole art of arithmetick, vulgar and decimal in a plain and easie method, suitable to the meanest capacity : in which the multiplication and division of numbers of several denominations, and the rule of alligation are more fully explained than in any treatise of this nature, yet extant / by J.N., Philomath.
About this Item
- Title
- The compleat arithmetician, or, The whole art of arithmetick, vulgar and decimal in a plain and easie method, suitable to the meanest capacity : in which the multiplication and division of numbers of several denominations, and the rule of alligation are more fully explained than in any treatise of this nature, yet extant / by J.N., Philomath.
- Author
- Newton, John, 1622-1678.
- Publication
- London :: Printed for John Taylor ... and Christopher Browne ...,
- 1691.
- Rights/Permissions
-
To the extent possible under law, the Text Creation Partnership has waived all copyright and related or neighboring rights to this keyboarded and encoded edition of the work described above, according to the terms of the CC0 1.0 Public Domain Dedication (http://creativecommons.org/publicdomain/zero/1.0/). This waiver does not extend to any page images or other supplementary files associated with this work, which may be protected by copyright or other license restrictions. Please go to http://www.textcreationpartnership.org/ for more information.
- Subject terms
- Arithmetic -- Early works to 1800.
- Link to this Item
-
http://name.umdl.umich.edu/A52256.0001.001
- Cite this Item
-
"The compleat arithmetician, or, The whole art of arithmetick, vulgar and decimal in a plain and easie method, suitable to the meanest capacity : in which the multiplication and division of numbers of several denominations, and the rule of alligation are more fully explained than in any treatise of this nature, yet extant / by J.N., Philomath." In the digital collection Early English Books Online. https://name.umdl.umich.edu/A52256.0001.001. University of Michigan Library Digital Collections. Accessed May 8, 2025.
Pages
The Second Way.
Notes
-
* 1.1