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X. Investigation of Formulœ, for finding the Logarithms of Trigonometrical Quantities from one another

Published online by Cambridge University Press:  17 January 2013

William Wallace
William Wallace
Affiliation:
Professor of Mathematics in theUniversity of Edinburgh.
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Extract

The most simple and obvious use of the Trigonomentrical Tables, is to find the logarithmic sine, tangent, &c. corresponding to a given angle; and, reversely, the angle corresponding to a given sine or tangent. However, in their more general application, we have often to find a logarithmic cosine, having given the corresponding sine, or the contrary; also the sine or cosine from a given tangent, and, in these cases, it may be of no consequence to know the exact angle.

Type
Research Article
Information
Earth and Environmental Science Transactions of The Royal Society of Edinburgh , Volume 10 , Issue 1 , 1826 , pp. 148 - 167
Copyright
Copyright © Royal Society of Edinburgh 1826

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References

page 148 note * Cagnoli Trigonometrie, Art. 428, 2de Edition.

page 152 note * The symbol —Δlog cos x here indicates, that the sign of log x—log (x+Δx), (which is a negative quantity), is to be changed to +.