A Table of Logarithms: Of Logarithmic Sines, and a Traverse Table

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Harper & brothers, 1836 - Logarithms - 177 pages
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Page 8 - It is, indeed, evident, that the negative characteristic will always be one greater than the number of ciphers between the decimal point and the first significant figure.
Page 1 - NB In the following table, in the last nine columns of each page, where the first or leading figures change from 9's to O's, points or dots are introduced instead of the O's through the rest of the line, to catch the eye, and to indicate that fronc '>ence the annexed first two figures of the Logarithm in the colvvran stand in the next lower line. N.
Page 11 - If the angle be greater than 90, we have only to subtract it from 180, and take the sine, cosine, tangent, or cotangent of the remainder. The secants and cosecants are omitted in the table, being easily found from the cosines and sines.
Page 17 - The minutes in the left-hand column of each page, increasing downwards, belong to the degrees at the top ; and those increasing upwards, in the right.hand column, belong to the degrees below.
Page 8 - FRACTION is a negative number, and is one more than the number of ciphers between the decimal point and the first significant Jigure.
Page 6 - ... 5.827886, after prefixing the characteristic 5. The corresponding number in the column D is 65, which being multiplied by 87, the figures regarded as ciphers, gives 5655 ; then, pointing off two places for decimals,. the number to be added is 56.55. This number being added to 5.827886, gives 5.827942 for the logarithm of 672887; the decimal part .55, being omitted. This method of finding the logarithms of numbers, from the table, supposes that the logarithms are proportional to their respective...
Page 4 - The logarithm of the ROOT of any number is equal to the logarithm of the number divided by the index of the root. For, let n be any number, and take the equation (Art.
Page 11 - The column of the table, next to the column of sines, and on the right of it, is designated by the letter D. This column is calculated in the following manner. Opening the table at any page, as 42, the sine of 24...
Page 4 - Art. 340, that the logarithm of any power of a number is equal to the logarithm of that number multiplied by the exponent of the power. Hence, to involve a number by logarithms, we have the following RULE.
Page 5 - ... the logarithms of all numbers between 1 and 10,000. 11. The first column, on the left of each page of the table of logarithms, is the column of numbers, and is designated by the letter N; the logarithms of these numbers are placed directly opposite them, and on the same horizontal line. 12. To find, from the table, the logarithm of any whole number. If the number be less than 100, look on the first page of the table of logarithms, along the columns of numbers under N, until the number is found...

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