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" The foregoing method is based on the assumption that the differences of logarithms are proportional to the differences of their corresponding numbers, which, though not strictly accurate, is sufficiently exact for practical purposes. "
Elementary Algebra Revised - Page 369
by Frederick Howland Somerville - 1913 - 447 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 Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 518 pages
...Dif. from col. D, 47 9.4 . _2 « « 93192 « 4.969378. 9.4 This process is based upon the supposition that the differences of logarithms are proportional...to the differences of their corresponding numbers, which is not strictly correct, yet sufficiently exact for practical purposes. When the figure or figures...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 532 pages
...quotient before annexing. 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. 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
...quotient before annexing. 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. 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
....000366 X -1 = .000256 a +;>rf, = log 11. 887 = 1.075072 This process is based upon the supposition that the differences of logarithms are proportional...to the differences of their corresponding numbers, which is not strictly correct, yet sufficiently exact for practical purposes. The difference di might...
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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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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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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Trigonometry - 1876 - 204 pages
...Dif. from col. D, 47 ŁU _2 « « 93192 « 4.969378. 9.4 This process is based upon the supposition that the differences of logarithms are proportional...to the differences of their corresponding numbers, which is not strictly correct, yet sufficiently exact for practical purposes. When the figure or figures...
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University Algebra

Webster Wells - Algebra - 1879 - 468 pages
...Therefore, log 3296.78 = log 3296 + .000103 = 3.517987 + .000103 = 3.518090, Ans. Note. The foregoing method is based upon the assumption that the differences...to the differences of their corresponding numbers, which is not strictly correct, but is sufficiently exact for practical purposes. We derive the following...
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