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" This process, like its converse (Art. 23), is based upon the supposition that the differences of logarithms are proportional to the differences of their corresponding numbers. "
Elements of Plane and Spherical Trigonometry: With Practical Applications - Page 7
by Benjamin Greenleaf - 1876 - 170 pages
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Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ...

Charles William Hackley - Trigonometry - 1838 - 328 pages
...right of each number in the column D. This calculation depends upon the principle mentioned at art. 51, that the differences of logarithms are proportional...to the differences of their corresponding numbers. The logarithmic sines and cosines have each their column of differences annexed, but the tangents and...
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A Treatise on Trigonometry, Plane and Spherical: With Its Application to ...

Charles William Hackley - Trigonometry - 1851 - 524 pages
...logarithm for that number of seconds. This calculation depends upon the principle mentioned at Art. 61, that the differences of logarithms are proportional...to the differences of their corresponding numbers. See also Art. 23 App. I. 60. The logarithmic sines and cosecants, cosines and secants, tangents and...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 532 pages
...required to find the logarithm of 93192: the logarithm of 93190 is 4.969369 Dif. from col. D, 47 9.4 _2 93192 " 4.969378. 9.4 This process is based...exceed in value .5, the right-hand figure of what is lefi to be added must be increased by 1, to insure greater accuracy in the result. 24. When the given...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 518 pages
...prefixing a cipher or ciphers to the quotient before annexing. This process, like its converse (Art. 23), is based upon the supposition that the differences...to the differences of their corresponding numbers. NOTE. The number corresponding to a given logarithm, when obtained by the use of a table calculated...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1861 - 638 pages
...prefixing a cipher or ciphers to the quotient before annexing. This process, like its converse (Art. 23), is based upon the supposition that the differences...to the differences of their corresponding numbers. NOTE. The number corresponding to a given logarithm, when obtained by the use of a table calculated...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 pages
...prefixing a cipher or ciphers to the quotient before annexing. This process, like its converse (Art. 23), is based upon the supposition that the differences...to the differences of their corresponding numbers. NOTE. The number corresponding to n given logarithm, when obtained by the use of a table calculated...
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New Higher Algebra: An Analytical Course Designed for High Schools ...

Benjamin Greenleaf - Algebra - 1864 - 420 pages
...and we have a = log 11.88 = 1.074816 pd, = .000366 X -1 = .000256 a +;>rf, = log 11. 887 = 1.075072 This process is based upon the supposition that the...correct, yet sufficiently exact for practical purposes. The difference di might have been taken directly from the table, being found in a line with the logarithm...
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A Treatise on Algebra

Elias Loomis - Algebra - 1868 - 386 pages
...containing more than three figures.—By inspecting the table, we shall find that within certain limits the differences of logarithms are proportional to the differences of their corresponding numbers. Thus the logarithm of 216 is 2.3345; 217 is 2.3365; " 218 is 2.3385. Here the difference between the...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1869 - 516 pages
...a cipher or ciphers to the quotient before annexing. 89 This process, like its converse (Art. 23), is based upon the supposition that the differences...to the differences of their corresponding numbers. . NOTE. The number corresponding to a given logarithm, when obtained by the use of a table calculated...
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A Treatise on Algebra

Elias Loomis - Algebra - 1873 - 396 pages
...containing more than three figures. — By inspecting the table, we shall find that within certain limits the differences of logarithms are proportional to the differences of their corresponding numbers. Thus the logarithm of 216 is 2.3345 ; 217 is 2.3365 ; " 218 is 2.3385. Here the difference between...
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