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Excerpt from Tracts on Mathematical and Philosophical Subjects, Vol. 1 of 3: Comprising Among Numerous Important Articles, the Theory of Bridges, With Several Plans of Recent Improvement Tract vur is a new method for the valuation of numeral infinite series, that have their terms alternately plus and minus; which is performed by taking continual arithmetical means between the successive sums, and between the means a method by which the value or sum of any such series is very easily and quickly obtained. Tract u is a method of summing the series a]br+ez' in the case when it converges very slowly, namely, when x is nearly equal to l, and the coefficients a, 6; C, 4, Sit, decrease very slowly; the signs of all the terms being plus or positive -a method which has been considered a great desideratum in infinite series. Tract x contains the investigation of certain easy and general rules, for extracting any root out of a given number; exhibiting a general and very easy formula, to serve for all roots whatever. 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.

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