Table of the Reciprocals of Numbers from 1 to 100,000: With Their Differences, by which the Reciprocals of Numbers May be Obtained Up to 10,000,000

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C. & E. Layton, 1865 - Reciprocals - 205 pages
 

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Page vii - C2500 and 62501, each to 7 places, and without indices. The sum of these is an initial value, to which adding the differences of the logs. of 62499 and 62501 , or, in general, the difference of the logs. of (n — 1) and (n+1), we readily obtain the logarithms of the difference required, and of the successive differences. The numerical differences being then taken out, the reciprocals of the numbers are obtained by summation.
Page vii - The difference of two reciprocals, divided by the difference of the corresponding numbers, is I he reciprocal of the product of those numbers.
Page x - If the number be 10,000 and under 100,000, find the first four figures in the margin, then on a line with these, and in the column headed by the last figure, the reciprocal will be found.

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