RULES ARE EXPLAINED IN THE PLAINEST AND MOST MV WITH MANY IMPORTANT IMPROVEMENTS, CONTAINING FROOFS IN EACH RULE, WITH DEMONSTRATIONS FROM THE MOST SIMPLE THE NATURE AND APPLICATION OF THE SAME. TO WHICH IS PREFIXED AN ALPHABETICAL INDEX TO RULES AND SUBJECTS, AND ADDED A DICTIONARY OF ARITHMETICAL TERMS, NOT FOUND IN ANY OTHER TREATISE. BY P. E. BATES BOTHAM. SEVENTH EDITION REVISED AND IMPROVED. HARTFORD: CONN. PUBLISHED BY HENRY BENTON. QA 101 B75 1837 NOTICE. The Author of this Treatise (Mr. Botham) has a practical know ledge of the subject on which he has written: he has been in the business of teaching, in this, and the adjoining States for a number of years. He has made himself thoroughly conversant with more than SIXTY different treatises on Arithmetic including recent publications in the United Statesbesides, those of England, France and Germany; and is not ignorant of Eular, 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 book, by which means, be found each and all of these books, in some respects fauty, deficient, or redundant. 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 Arithmetic" ever offered to the 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 Born ycastle, which FACT cannot be said of any other like publication, however recent. ENTERED, according to Act of Congress, in the year 1832, by Henry Benton, the Clerk's Office of the District Court of Connecticut. Mrs. E. A. Lyman 6-26-36 32490 DEDICATION. 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 it 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 work 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 solution, in the higher rules, exceeds that of any other book. The methods of solution are simplified and rendered perfectly intelligible. The synthetic, analytic inductive and productive systems of instruction have been adopted in the prosecution of this work. Scholars, who shall be properly conducted through this volume, will have acquired a knowledge of arithmetic adequate to all the purposes of common business. The first edition of this treatise having been so well received, induced the 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 now 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. THE AUTHOR. The author of this treatise has followed implicitly the orthography of Dr. Webster's "duodecimo" Dictionary, and "Elementary Spelling Book." |