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XVIII.—On the Approximation to the Roots of Cubic Equations by help of Recurring Chain-Fractions

Published online by Cambridge University Press:  06 July 2012

Edward Sang
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Extract

In the twenty-ninth volume of the Society's Transactions, at page 59, Lord Brouncker's process for finding the ratio of two quantities (commonly known as the method of continued fractions) is extended to the comparison of three or more magnitudes. It is there shown that recurrence, which was believed to belong exclusively to equations of the second degree, extends to those of higher orders, and examples of this extension are given in determining the proportions of the heptagon and enneagon.

Type
Research Article
Information
Earth and Environmental Science Transactions of The Royal Society of Edinburgh , Volume 32 , Issue 2 , November 1884 , pp. 311 - 326
Copyright
Copyright © Royal Society of Edinburgh 1884

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