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AN

ELEMENTARY COURSE

OF

MATHEMATICS.

PREPARED FOR THE USE OF THE

ROYAL MILITARY ACADEMY.

BY ORDER OF THE MASTER-GENERAL AND BOARD OF ORDNANCE.

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CONTAINING

ARITHMETIC AND ALGEBRA.

BY W. RUTHERFORD, ESQ. LLD. & F.R.A.S.

APPLICATION OF ALGEBRA TO GEOMETRY, PLANE TRIGONOMETRY,
SPHERICAL TRIGONOMETRY, MENSURATION,

AND COORDINATE GEOMETRY OF TWO DIMENSIONS.
BY STEPHEN FENWICK, F.R.A.S.

DIFFERENTIAL AND INTEGRAL CALCULUS.
BY W. RUTHERFORD, ESQ. LLD. & F.R.A.S.

LONDON:

PRINTED FOR HER MAJESTY'S STATIONERY OFFICE:

PUBLISHED BY

JOHN WEALE, 59 HIGH HOLBORN.

1853.

Math 358,53

Tansferred from

The Lawrence Scientific School,

9 February, 1888.

I-II. )

LONDON:

Printed by WILLIAM CLOWES and SONS, Stamford Street,
For Her Majesty's Stationery Office.

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I HAVE the honour to lay before you the course of Mathematics for the Royal Military Academy, which in compliance with the directions given by the Marquis of Anglesey, while Master-General of the Ordnance, has been compiled under my superintendence. It will, I trust, not only meet the present wants of the Cadets, but also prove useful for such references and further studies as their professional duties may render necessary after they receive their commissions. The cordial co-operation of the gentlemen employed upon it, and the care bestowed by each of them on the subjects intrusted to him, induce a confident hope that this will be the case, and that their labours will deserve your Lordship's approval.

The names of these gentlemen are published in the title-page of each volume to which they have contributed, but the valuable assistance afforded by Mr. Barlow, whose name is not thus recorded, also demands my grateful acknowledgment. The reluctance caused by a sense of my incompetency to undertake the editorship of a course extending far beyond the limits of my own information, disappeared when he consented to aid me. His great experience in the application of Mathematics to practical purposes-his long connexion with the Royal Military Academy as one of the Mathematical instructors-the numerous cases in which his former pupils have sought his assistance when their duties have compelled them to contend with difficult questions-and the interest he has evinced

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