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COURSE

OF

MATHEMATIC.S.

IN TWO VOLUMES.

COMPOSED FOR THE

USE OF THE ROYAL MILITARY ACADEMY.

BY CHARLES HUTTON, LL.D. F.R.S.

LATE PROFESSOR OF MATHEMATICS IN THAT INSTITUTION.

VOL. I.

THE ELEVENTH EDITION,

WITH MANY CORRECTIONS AND IMPROVEMENTS.

BY OLINTHUS GREGORY, LL.D. F.R.A.S.

Corresponding Associate of the Academy of Dijon, Honorary Member of the Literary and Philosophical

Society of New York, of the New York Historical Society, of the Literary and Philosophical, and the
Antiquarian Societies of Newcastle upon Tyne, of the Cambridge Philosophical Society, of the Bristol
Philosophical Society, of the Institution of Civil Engineers, one of the Board of Visitors of the Royal
Observatory, &c. &c., and Professor of Mathematics in the Royal Military Academy.

LONDON:
PRINTED FOR LONGMAN, REES, & co. ; T. CADELL; J. RICHARDSON ; J. M. RICHARDSON ;

BALDWIN & CRADOCK ; J. G. & F. RIVINGTON ; J. BOOKER; HARDING & co.; HARVEY
& DARTON ; HAMILTON, ADAMS, & co.; WHITTAKER & co.; J. DUNCAN; SIMPKIN,
MARSHALL, & co. ; J. SOUTER ; W, H. ALLEN & co. ; AND STIRLING & co., EDINBURGH.

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PREFACE.

A Short and Easy Course of the Mathematical Sciences has long been considered as a desideratum, for the use of Students, in the different schools of education: one that should hold a middle rank between the more voluminous and bulky collections of this kind, and the mere abstract and brief common-place forms, of principles and memorandums.

For long experience, in all Seminaries of Learning, has shown, that such a work was very much wanted, and would prove a great and general benefit; as, for want of it, recourse has always been obliged to be had to a number of other books, by different authors; selecting a part from one, and a part from another, as seemed most suitable to the purpose in hand, and rejecting the other parts—a practice which occasioned much expense and trouble, in procuring and using such a number of odd volumes, of various forms and modes of composition ; besides wanting the benefit of uniformity and reference, which are found in a regular series of composition.

To remove these inconveniences, the Author of the present work has been induced, from time to time, to compose various parts of this Course of Mathematics; which the experience of many years' use in the Academy has enabled him to adapt and improve to the most useful form and quantity, for the benefit of instruction there. And, to render that benefit more eminent and lasting, the Master General of the Ordnance has been pleased to give it its present form, by ordering it to be enlarged and printed, for the use of the Royal Military Academy.

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