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Excerpt from A Treatise on the Calculus of Variations Although the view taken of a variation is that of Profs. Airy and Todhunter, and the methods of varying functions are those of Jellett and Strauch, still all the other leading conceptions and methods have, it is hoped, been explained with sufficient fulness to enable the reader to follow them when they occur in other works. The history of the subject is also briefly given in the last chapter, it being believed that the proper time for the presen tation of the history of any science is after the reader has become familiar with its principles, as it can then, by the use of some technical terms, be accomplished more fully within a given space. To aid the non-classical reader, the use of Greek letters has, With the exception of two, whose use is now universal, and which are explained, been avoided, except in references, or in such passages as may be omitted without serious loss. Attention is also called to the words mckz'sz'oc/zrone 'and parallelepipedon, which are in this work spelled according to their derivation. The correct orthography of the former had been previously adopted by Moigno and Todhunter, and it is hoped that it may be sufficient to call the attention of Greek scholars to the latter. 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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