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" Ratios, than the numbers themselves. As the sines and cosines of all angles, and the tangents of angles less than 45°, are less than unity, their logarithms are negative ; and in order to avoid the introduction and use of negative quantities, the logarithms... "
Plane trigonometry. [With] Solutions of examples. Appendix &c., to adapt the ... - Page 119
by John William Colenso (bp. of Natal.) - 1851
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A Treatise on Trigonometry, and on Trigonometrical Tables and Logarithms ...

John Hymers - Logarithms - 1841 - 244 pages
...the logarithms of the numbers which express the Trigonometrical Ratios, than the numbers themselves. As the sines and cosines of all angles, and the tangents of angles less than 45°, are less than unity, their logarithms are negative ; and in order to avoid the introduction and use of...
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A Treatise on Plane and Spherical Trigonometry, and on Trigonometrical ...

John Hymers - Logarithms - 1858 - 324 pages
...the logarithms of the numbers which express the Trigonometrical Ratios, than the numbers themselves. As the sines and cosines of all angles, and the tangents of angles less than 45°, are less than unity, their logarithms are negative ; and in order to avoid the introduction and use of...
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A Treatise on Plane and Spherical Trigonometry, and on Trigonometrical ...

John Hymers - Logarithms - 1858 - 292 pages
...the logarithms of the numbers which express the Trigonometrical Batios, than the numbers themselves. As the sines and cosines of all angles, and the tangents of angles less than 45е, are less than unity, their logarithms are negative ; and in order to avoid the introduction and...
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Elementary Trigonometry

James Hamblin Smith - Trigonometry - 1870 - 286 pages
...them, and these logarithms are in practice much more useful than the numbers themselves. Now since the sines and cosines of all angles and the tangents of angles less than 45° are less than unity, the logarithms of these sines, cosines and tangents are negative. In order to avoid...
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Guide Book to the Local Marine Board Examination: The Ordinary Examination

Thomas Liddell Ainsley - Merchant marine - 1875 - 416 pages
...&c., though the latter are often necessary, or in some simple kinds of calculation, preferable. 100. As the sines and cosines of all angles, and the tangents of angles less than 45°, are less than radius or unity, the logarithms of the values of these quantities, properly, have negative...
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A guide book to the Local marine board examination. The ordinary ..., Volume 24

Thomas Liddell Ainsley - 1880 - 482 pages
...&o., though the latter are often necessary, or in some simple kinds of calculation, preferable. 117. As the sines and cosines of all angles, and the tangents of angles less than 45°, are less than radius or unity, being proper fractions, the logarithms of the value of these quantities,...
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A Treatise on Plane and Spherical Trigonometry: And Its Applications to ...

Edward Albert Bowser - Trigonometry - 1892 - 392 pages
...cosines, etc. ; these tables are called tables of logarithmic sines, logarithmic cosine, etc. Since the sines and cosines of all angles and the tangents of angles less than 45° are less than unity, the logarithms of these functions are negative. To avoid the inconvenience of using...
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