## Table of Logarithms of the Natural Numbers, from 1 to 108000 |

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Great historical resource. Appears to be missing pages 84 and 85.

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Page xvii - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.

Page xi - ... will be readily understood, viz. The index of the logarithm of any number greater than unity is equal to one less than the number of integral figures in the given number. Thus...

Page xviii - To extract any root of a number, merely divide the logarithm of this number by the index of the root; the quotient is the logarithm of the root.

Page xi - From this will be understood the rule given in books, of tables, for finding the characteristic or index of the logarithm of a decimal fraction, viz. The index of any decimal fraction is a negative number, equal to unity, added to the number of zeros immediately following the decimal point. Thus, in searching for a logarithm of the number such as .00462. we find in the tables opposite to 462 the number 6646420 ; but since .00462 is a number between .001 and .0001.

Page xvii - Multiply the logarithm of the given number by the exponent of the power to which the number is to be raised ; and the product will be the logarithm of the required power (Art.

Page vii - The clearness or facility of reading, does not depend on the size of the type alone, but on the proportion of the type to the interval between the lines. 2nd. Figures of the same or nearly the same height, are preferable to those in which some of the digits rise above and others fall below the line, because they interfere less with the space between the lines.

Page viii - ... 5th. Those figures which are first sought on entering a table, ought to be so distinguished, either by position or by magnitude, as to strike the eye readily.

Page vii - I enjoyed every facility for making the comparisons which were requisite for this purpose, as well as for making extracts necessary to me for other calculations.

Page xix - Given any number of seconds, to find the corresponding arc in degrees, minutes, and seconds.

Page xix - If this remainder is less than '¿° 46" 40", it will be found in the first column of the table ; and the number of seconds in it is the natural number opposite it in the column of numbers.