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Examples of a Method of Developing Logarithms and the Trigonometrical Functions without the Calculus by means of their Addition Formulae and Indeterminate Coefficients

Published online by Cambridge University Press:  20 January 2009

John Jack
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Abstract

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The convergence of the series is assumed.

The method consists in assuming that the function is equal to a certain power series with undetermined coefficients, substituting these series in the addition formula. This gives an identity.

Picking out coefficient of y we get

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 13 , February 1894 , pp. 132 - 135
Copyright
Copyright © Edinburgh Mathematical Society 1894