Excerpt from Rudimentary Treatise on Logarithms The numbers composing a series in continued proportion, similar to the above, will, on examination, be found to be de rived from each other by the continual multiplication of the previous term by some constant number; thus, in the first series, 6 is derived from 2 by being multiplied by 3, and in like manner 18 is obtained from 6, and 54 from 18; so in the second series, the constant multiplier is 2, each term being derived from the preceding by multiplication by that num ber. A series of numbers thus obtained by the continual multiplication of its terms by a constant number is called a geometrical series; such is the series (a) above; while a series in which the terms are derived by the continual addition of a constant number is termed an arithmetical series, an example of which is afforded by the series (b) above. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.