Chamberlain's Arithmetick being a plain and easie explanation of the most useful and necessary art of arithmetick in whole numbers and fractions, that the meanest capacity may obtain the knowledge thereof in a very short time : whereunto are added many rules and tables of interest, rebate, purchases, gaging of cask, and extraction of the square and cube roots / composed by Robert Chamberlain, accomptant and practitioner in the mathematicks.

About this Item

Title
Chamberlain's Arithmetick being a plain and easie explanation of the most useful and necessary art of arithmetick in whole numbers and fractions, that the meanest capacity may obtain the knowledge thereof in a very short time : whereunto are added many rules and tables of interest, rebate, purchases, gaging of cask, and extraction of the square and cube roots / composed by Robert Chamberlain, accomptant and practitioner in the mathematicks.
Author
Chamberlain, Robert, fl. 1678-1679.
Publication
London :: Printed for John Clark ...,
1679.
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Subject terms
Mathematics -- Early works to 1800.
Link to this Item
http://name.umdl.umich.edu/A31565.0001.001
Cite this Item
"Chamberlain's Arithmetick being a plain and easie explanation of the most useful and necessary art of arithmetick in whole numbers and fractions, that the meanest capacity may obtain the knowledge thereof in a very short time : whereunto are added many rules and tables of interest, rebate, purchases, gaging of cask, and extraction of the square and cube roots / composed by Robert Chamberlain, accomptant and practitioner in the mathematicks." In the digital collection Early English Books Online. https://name.umdl.umich.edu/A31565.0001.001. University of Michigan Library Digital Collections. Accessed April 28, 2025.

Pages

Example.

Reduce 243/578 and 7/16 into a common De∣nomination; do thus,

Multiply the Denominators 5, 7, 8 and 16 into one Sum, which will be 4480 for a common Denominator. Then multiply the Numerator 2 into all the Denominators but his own, viz. into 7, 8, and 16, and the Product thereof 1792 will be a Nume∣rator to the Denominator before found 4480, which new Fraction 1792/4480 is equal

Page 175

to ⅖ the first given Fraction, next pro∣ceed for a new Numerator to a second Fraction by taking the next Numerator, which is 4, and multiply him by all the Denominators, except his, that is by 5, 8 and 16, and the Product is 2560, which is a new Numerator unto the Denominator before found 4480, and the new Fraction 2560/4480 is equal to the second given Fracti∣on, viz. 4/7. Likewise multiply the Numera∣tor 3 by the Denominators 5, 7, and 16, the Product gives 1680/4480 equal to the third gi∣ven Fraction which is 9/8, then multiply the last Numerator 7, by 5, 7, and 8, and the Product gives 1960/4480 equal to 7/16. So instead of 243/578 and 7/16, I have found 1792/4480 2560/4480 1680/4480 and 1960/4480 which have all equal Deno∣minators, and each Fraction equal to his respective given Fraction as was requi∣red.

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