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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
Affiliation:
Professor of Mathematics in theUniversity of Edinburgh.

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
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 +.