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RULES ARE EXPLAINED IN THE PLAINEST AND MOST

CONCISE METHODS EXTANT,

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MANY IMPORTANT IMPROVEMENTS,

CONTAINING

MOOFS IN EACH RULE, WITH DEMONSTRATIONS FROM THE MOST SIMPLE
AND EVIDENT PRINCIPLES; TOGETHER WITH REASONS FOR EVERY
RULE, ACCOMPANIED WITH A SERIES OF QUESTIONS ON

THE NATURE AND APPLICATION OF THE SAME.

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NOTICE. The Author of this Treatise (Mr. Botham) has a pracrical know ledge of the subject on which he has written: he has been in the business al teaching, in this, and the adjoining States for a number of years. He has nade himself thoroughly conversant with more than SIXTY different treatises on Arithmetic including recent publications in the United Siates.com besides, those of England, France and Germany; and is not ignorant of Fular, Lacroix, Day and Colburn's Algebras. Moreover, he has used Daboll, Colburn, Adams, Smith and Ruger's books in teaching Arithmetic, and has attentively observed the progress of his pupils in each bor', by which means, be found each and all of these books, in some respects faulty, deficient, or ra. dundant. He now presents to the public the result of his observations and practical experience under the title of The Common School Arithmetic, which book you are requested to carefully and impartially examine, then de cide whether it is the "best and cheapest Anthmetic" ever offered to ihe public for the use of our Common Schools.

N. B.- In this book there are no Rules or Questions for solution copied from Daboll, Pike, Dilworth or Bor.n ycastle, which ract cannot be said af any other like publicatio., however recent.

ENTERED, according to Act of Congress, in the year 1832, by Henry Benson, A the Clerk's Office of the District Court of Connecticut.

mis.E. A. Lyman .

DEDICATION.

6-26-36 32490

THIS WORK IS RESPECTFULLY SUBMITTED

TO THE

TEACHERS IN THE UNITED STATES,

GentleMEN. In deciding upon the adoption of this work, your BROTHER trusts, that there is but one point for investigation: Is this Arithmetic a true and faithful report of the principles of the science, and of the Federal Currency? And is it adapted to the business of life? Is it what is needed? Is il the desideratum ? Is it calculated to remove those obstacles which have hitherto retarded the progress of youth? Let a candid, liberal, and impartial public decide.

PREFACE.

Although this wo:k is intended for Common Schools, yet it will be found to contain a clear and full explanation of the fundamental principles of arithmetic. The number of examples for enlution, in the higher sules, exceeds that of any other book. The methods of solution are simplified and rendered perfectly intelligible. The synthetic, analytic inductive and produrtive systems of instruction have been adopied in the prosecution of this work., Scholars, who shall be properly conducted through this volume, will have acquired a knowledge of arithmctic adequate to all the purposes of commun business.

The first edition of this treatise having been so well received, induced che publisher to issue a new STEREOTYPED EDITION, with greater claims to public patronage.

The errors of the first edition were unimportant, yet they have been minutely considered and thoroughly corrected. The work is noxo entirely free from errors.

This treatise differs from all others—and ought not to be classed with
those that have preceded it. A valuable discovery may occasionally
fall to the lot of the humblest votary of science, even where those of
prouder name have failed.
Hartford, Nov. 1833.

TT AUTHOR
The author of this treatise has followed implicitly the orthography at
Dr. Webster's “ duodecimo" Dictionary, and “ Elementary Spalling Book."

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