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દરે

&

经

SCHOLAR'S GUIDE

TO

ARITHMETIC;

OR,

A COMPLETE EXERCISE BOOK FOR THE USE OF SCHOOLS.

WITH NOTES,

CONTAINING

THE REASON OF EVERY RULE, DEDUCED FROM THE MOST
SIMPLE AND EVIDENT PRINCIPLES;

TOGETHER WITH

SOME OF THE MOST USEFUL PROPERTIES OF NUMBERS, AND SUCH
OTHER PARTICULARS AS ARE CALCULATED TO ELUCIDATE

THE MORE ABSTRUSE AND INTERESTING PARTS OF

THE SCIENCE.

EDITED BY JOHN ROWBOTHAM, F.R.A.S.

Eighteenth Edition, corrected, with Additions,

AMONG WHICH WILL BE FOUND

A NEW METHOD OF VERIFYING DATES, OF FINDING EASTER SUNDAY,
AND OF DETERMINING THE MOON'S AGE, BY OLD OR NEW STYLE,

AD INFINITUM.

BY SAMUEL MAYNARD,

EDITOR OF Keith's and boNNYCASTLE'S MATHEMATICAL WORKS,
ETC. ETC.

LONGMAN

LONDON:

AND CO.; HAMILTON AND CO.; SIMPKIN, MARSHALL,
AND CO.; F. AND J. RIVINGTON; WHITTAKER AND CO.; B. FEL-
LOWES; HOULSTON AND CO.; ORR AND CO.; C. H. LAW; HALL
AND CO.; AND AYLOTT AND JONES.

1851.

181. c. 4.

PREFACE

TO THE FIFTH EDITION.

Books of arithmetic have, of late, become so extremely numerous, that if the progress of the science were to be estimated from that circumstance alone, it might naturally be concluded that every possible improvement had been anticipated, and the subject wholly exhausted. But it has happened in this case, as in many others, that much has been promised and little effected. The greater part of these performances are so nearly alike, both in matter and method, that they appear to be little more than mere copies of each other, ill-digested, and embarrassed with such a variety of miscellaneous observations, as render them totally unfit for the purpose of teaching.

The principal object of a work of this kind, should be to provide the learner with a proper of rules and examples, so methodised and arranged, that they may be readily transcribed, and fixed in the memory, without any other assistance from the master than that of explaining the nature of the process, and examining the truth of the operations. These I have endeavoured to supply; and, since the first publication of this treatise, have had the satisfaction to find that it has been generally approved by intelligent tutors, and introduced into several of the most respectable academies in the kingdom.

To render the work, therefore, still more complete, the present edition has not only been corrected and improved throughout, but in many places entirely re-written. Every example in the book has, also, been separately examined, by two or three different persons, and the greatest care taken to avoid errors of the press; so that it is presumed few or none will be now found of any material consequence. To say more would be unnecessary; the plan of the work is already sufficiently known, and of its merits or defects, the public alone must determine.

Royal Military Academy, Woolwich.

JOHN BONNYCASTLE.