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" ... to obtain the logarithm of the fourth. term. Or, adding the arithmetical complement of the logarithm of the first term to the logarithms of the other two, to obtain that of the fourth. "
An Elementary Treatise on the Application of Trigonomentry to Orthographic ... - Page 31
by John Farrar - 1833 - 155 pages
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Elements of Plane and Spherical Trigonometry

Olinthus Gregory - Plane trigonometry - 1816 - 278 pages
...work the proportions in trigonometry by means of the logarithms, taking the logarithm of the Jtrst term from the sum of the logarithms of the second and third, to obtain the logarithm of the fourth term. Or, adding the arithmetical complement of' the logarithm...
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An Elementary Treatise on the Application of Trigonometry to Orthographic ...

John Farrar - Logarithms - 1822 - 244 pages
...feet 2,30103 so is sin A bc 47° 30' 9,86763 • 12,16866 9,82968 to the height Ac = 21 8, 26 2,33808 We have here subtracted the logarithm of the first...to the two others ; thus, 0,17032 2,30103 9,86763 2,33898 the same as before. t Of the manner of measuring the necessary angles and sides and of the...
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An Elementary Treatise on the Application of Trigonometry: To Orthographic ...

John Farrar - Logarithms - 1822 - 270 pages
.... . ., 2,30103 so is sin Ab c 47° 30' 9,86763 12,16866 9,82968 to the height Ac = 21 8, 26 2,33808 We have here subtracted the logarithm of the first...first logarithm and add it to the two others ; thus, 0,17082 2,30103 9,86763 2,33898 the same as before. t Of the manner of measuring the necessary angles...
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An Elementary Treatise on the Application of Trigonomentry to Orthographic ...

John Farrar - Trigonometry - 1833 - 276 pages
.... 9,82968 is to bc = 200 feet 2,30103 so is sin A bc . . 47° 30' . . ' . 9,86763 12,16866 9,82968 to the height Ac — 218,26 . . . . 2,33898 We have...shorter way would be to take the arithmetical complement (Alg. 248) of the first logarithm and add it to the two others; thus, 0,17032 2,30103 9,86763 2,33898...
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Mathematics for Practical Men: Being a Common-place Book of Principles ...

Olinthus Gregory - Mathematics - 1834 - 472 pages
...though not always, best to work the proportions in trigonometry by means of the logarithms, taking the logarithm of the first term from the sum of the logarithms of the second and third, to obtain the logarithm of the fourth term. Or, adding the arithmetical complement of the logarithm...
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A New System of Practical Astronomy: Made Plain and Easy to Those who Have ...

Thomas Spofford - Almanacs, American - 1835 - 84 pages
...the given side, the second term ; and tho sine of the angle opposite the required side, is the third term : from the sum of the logarithms of the second and third terms, subtract the logarithm of the first term ; the remainder is tho logarithm of the length of the...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 pages
...terms, diminished by the logarithm of the first term. . . . ; •*•i Instead, however, of subtracting the logarithm of the first term from the sum of the logarithms of the second and third terms, it is more convenient to use the arithmetical complement of the first term. ST The arithmetical...
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A Theoretical and Practical System of Arithmetic, etc

W. H. CRANK - Arithmetic - 1843 - 340 pages
...numbers. RULE. — Add together the logarithms of the second and third terms, subtract the logarithms of the first term from the sum of the logarithms of the second and third terms ; then find the natural number answering to the resulting logarithm ; and it will be the fourth...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 372 pages
...0.725313: hem.e. 0.725313 is the arithmetical complement <it U.vJ' KPS". Instead, however, of subtracting the logarithm of the first term from the sum of the logarithms of the second and third terms, it is more convenient to use the arithmetical complement of th| first term. It is now to be...
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A Complete System of Mensuration ...

Alexander Ingram - 1851 - 202 pages
...12-383543 Radius 10-000000 CB 241-85 log. 2-383543 AB 215-6 log. 2-333659 NOTE. Instead of subtracting the logarithm of the first term from the sum of the logarithms of the second and third, it is preferable to take the arithmetical complement of the first and add the three together. 2. Given...
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