Dynamics Or An Elementary Treatise On Motion To Which Is Added A Short Treatise On Attractions PDF Download

Excerpt from Dynamics or a Treatise on Motion; To Which Is Added a Short Treatise on Attractions When several variables occur in an expression, it may happen to be necessary to perform the operation of differentiation upon it on several distinct hypotheses; and hence arises the necessity as well as the difficulty of inventing a system of differential notation, which shall simply but sufficiently mark the various hypotheses on which the operation is to be effected. If for example u denote an expression containing two quantities x and y, a necessity may occur of differentiating u on four distinct suppositions; viz. 1st, that, v only is variable; 2nd, that y only is variable; 3rd, that both x and y are variable, but one of them (y) takes its variability from the other (x); and 4th, that both x and y are variable, but neither of them takes its variability from the other. These cases are of very common occurrence, and it is therefore very necessary to have a system of notation that shall distinctly express them, and at the same time be well adapted for practice. The following will answer the purpose. This system provides for the cases which most commonly present themselves; but others are sometimes met with, especially in Hydrodynamics and in the Planetary Theory, which it seems almost impossible to include in any general system, and they are therefore best provided for by special notation to be proposed as they occur. 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.