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Entered, according to Act of Congress, in the year 1874, by

A. H. ENGLISH & CO.

In the Office of the Librarian of Congress, at Washington, D. C.

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PREFACE.

My name appearing in connection with that of the late Prof. Philotus Dean on the title-page of this work, it is proper for me to account for the same by stating the circumstances connected therewith.

After the death of Prof. Dean, his publishers, together with some of his personal friends, requested that I should prepare for publication his High School Arithmetic, which was then unfinished, and his manuscripts and materials were handed to me for that purpose.

In the performance of this work, it has been my aim to pursue, as nearly as possible, the course indicated in the other Arithmetics of this series. The language of the author, therefore, has been retained, with few changes, as far as the manuscript was complete and ready for publication. Some portions, however, that appeared to be unnecessary in a work of this character, have been omitted, and other changes that seemed essential have been made with due caution, and with a desire to preserve the general plan of the work.

This book has been prepared to complete a thoroughly progressive series of Arithmetics, and is intended to furnish to advanced pupils a very full and comprehensive text-book on the Science of Numbers, embracing all the subjects necessary to a complete and practical arithmetical education.

The exercises presented are numerous and interesting, and have been prepared with special reference to practical utility.

As a well-studied formula of reasoning and recitation is the best means of giving both to thought and its expression the requisite degree of brevity, clearness, and force, the teacher should require from a class a full explanation of every written process, either by following the methods presented in the book, or by using such as he may furnish for his own use.

J. P. CAMERON.

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