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" And, if the logarithm of any number be divided by the index of its root, the quotient will be equal to the logarithm of that root. Thus the index or logarithm of 64 is 6 ; and, if this number be divided by 2, the quotient will be = 3, which is the logarithm... "
The Complete Mathematical and General Navigation Tables: Including Every ... - Page 59
by Thomas Kerigan - 1838
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - Conic sections - 1845 - 244 pages
...or the equal root of 64. The logarithms most convenient for practice, are such as are adapted to a series increasing in a tenfold ratio, as in the last of the above forms, and are those which are usually found in most of the common tables on the subject. 2....
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Lunar and Nautical Tables, Arranged and Adapted for Determining (by the ...

George Coleman (F.R.A.S.) - 1846 - 488 pages
...omitted, should it be 5 or above, then the preceding or fifth figure is to be increased by a unit. The logarithms most convenient for practice, are such...a geometrical series increasing in a tenfold ratio ; being those which are generally found in most books on Navigation, and Mathematical works, • Or...
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A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - Algebra - 1852 - 348 pages
...number be divided by 2, the quotient will be = 3, which is the logarithm of 8, or the square root of 64. The logarithms most convenient for practice are such, as are adapted to a geometric series increasing in a tenfold proportion, as in the last of the above forms; and are those,...
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A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - Algebra - 1853 - 370 pages
...number be divided by 2, the quotient will be 3, which is the logarithm of 8, or the square root of-64. The logarithms most convenient for practice are such...increasing in a ten-fold ratio, as in the last of the above forms; and are those which are to be found, at present, in most of the common tables on this...
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A Practical Treatise on the Science of Land and Engineering Surveying ...

Henry S. Merrett - 1863 - 428 pages
...numbers, by only changing the second term, 2, 3, or 10, &c., of the geometric series of whole numbers. The logarithms most convenient for practice are such as are adapted to a geometric series, increasing in a tenfold proportion as in the above form ; and are those which are...
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A practical treatise on ... land and engineering surveying, Volume 34

Henry S. Merrett - 1863 - 476 pages
...numbers, by only changing the second term, 2, 3, or 10, &c., of the geometric series of whole numbers. The logarithms most convenient for practice are such as are adapted to a geometric series, increasing in a tenfold proportion as in the above form ; and are those which are...
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A Complete Epitome of Practical Navigation, and Nautical Astronomy ..., Volume 1

John William Norie, J. W. Saul - Nautical astronomy - 1917 - 642 pages
...together, produce 256, which is the number corresponding to the index 8. It is also obvious that if any one index be subtracted from another the difference will...this system of logarithms, the index or logarithm of i is o ; that of 10 is I ; that of loo is 2 ; that of iooo is 3 ; that of 10000 is 4 ; etc., etc. ;...
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