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Ratio and Proportion

Published online by Cambridge University Press:  03 November 2016

D. K. Picken
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Extract

The section on “Ratio, Proportion and Variation” in the text-books is by far the least satisfactory part of the standard course of Algebra. And it is probably regarded by many readers of these books as of no particular importance. But, when seen in the right perspective and given proper treatment, this part of the subject may fairly be regarded as the most far-reaching in importance—a contention for which the reasons will appear in the following pages.

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Type
Research Article
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The Mathematical Gazette , Volume 10 , Issue 144 , January 1920, pp. 9 - 13
Copyright
Copyright © Mathematical Association 1920

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page note 10 * A very curious instance is to be found in an old number of the Gazette, from the pen of a very well-known writer (reviewing a book on Trigonometry in which the importance of ratio was emphasised):—“What is the length of a line? Is it not a ratio of one line to another, the length of the second line being called the unit of length.”

page note 12 * The proof consists of an obvious slight modification of a paragraph in the stock treatment.