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In this edition several alterations have been made, and, it is hoped, many improvements have been introduced. The whole of the work has been thoroughly revised; every example has been recomputed; and the matter has also been subjected to a somewhat different arrangement. The plane, solid, and spherical Geometry, and also the Geometry of the Conic Sections, have been placed continuously; and the Differential and Integral Calculus have been made to precede Mechanics. This arrangement has enabled the Editor to introduce into Mechanics the language of the Calculus, without which little or no progress can be made in Dynamics. To enumerate the various changes that have been made in the work would be altogether unnecessary. The more prominent of these are-a new rule for the extraction of the cube root; new and simple demonstrations of the binomial and exponential theorems; the complete analytical investigation of several important problems in trigonometrical surveying; the method of least squares; besides many other investigations and examples, which, it is hoped, will be highly acceptable and useful to the student.
The subject of Mechanics is now divided into Statics and Dynamics; and several additions have been made to this part as well as to the Integral Calculus; though, from the limits of the work, the Editor has not been able to introduce so much on these interesting and highly useful branches of study as he could have desired.
A new, correct, and improved edition of Hutton's Course has been a desideratum for several years; and while the present edition is intended to supply the deficiency, it has likewise been assimilated to the course of instruction now pursued in the Royal Military Academy, over which the Author so ably presided for many years; and, from the attention bestowed on the computations and investigations, and the exercise of a careful supervision of the work as it has emanated from the press, the Editor trusts that the present edition will be found to be the most correct of any extant.
Royal Military Academy, Woolwich,