NEW ELEMENTARY ARITHMETIC: AN EASY COMPREHENSIVE COURSE, EMBRACING MENTAL AND WRITTEN EXERCISES, FOR BEGINNERS. PREPARED TO ACCOMPANY THE MATHEMATICAL SERIES OF BENJAMIN GREENLEAF, A. M. ""NEW BY THE EDITOR OF "NEW PRACTICAL ARITHMETIC,' BOSTON: PUBLISHED BY ROBERT S. DAVIS & CO. NEW YORK: A. 8. BARNES & CO., AND OAKLEY & MASON. ST. LOUIS: HENDRICKS & CHITTENDEN. CHICAGO: 8. C. GRIGGS & CO. 1869. An ENTIRELY NEW MATHEMATICAL COURSE, Analytical and Practical, Progressive and Scientific, fully adapted to the best methods of modern instruction. GREENLEAF'S NEW PRIMARY ARITHMETIC. GREENLEAF'S NEW ELEMENTARY ARITHMETIC. GREENLEAF'S NEW PRACTICAL ARITHMETIC.. GREENLEAF'S NEW ELEMENTARY ALGEBRA. GREENLEAF'S NEW HIGHER ALGEBRA. GREENLEAF'S ELEMENTS OF GEOMETRY. GREENLEAF'S ELEMENTS OF TRIGONOMETRY. * Each book in the series is Complete in itself. *KEYS to PRACTICAL ARITHMETIC, ALGEBRAS, GEOMETRY, and TRIGONOMETRY, in separate volumes, for teachers only. Entered, according to Act of Congress, in the year 1865, by HENRY B. MAGLATHLIN, In the Clerk's Office of the District Court of the District of Massachusetts. CAMBRIDGE: PRINTED BY H. O. HOUGHTON AND COMPANY. HARVAR LIBRARY 0477172 PREFACE. In mental culture, no less than in manual labor, it is desirable to have instruments especially adapted to the work to be performed. Of late, owing to the circumstances of the country, it has become very evident that there are numerous learners of limited opportunities who require an easy comprehensive course of arithmetic. Such, having no time to master the several books of a consecutive series, however excellent, demand in a single book the more important principles of the science, combined with the more useful applications to ordinary business computations. In most Graded Schools, also, there may be found a class of pupils who might advantageously use a brief elementary course, uniting mental and written exercises, before passing to any more elaborate treatise. Experience has demonstrated that beginners are best initiated into any branch by means of repeated simple illustrations and numerous easy examples. (III) These conditions have been carefully kept in view, during the preparation of this work. Schools have been visited in different sections, in order fully to ascertain their wants, teachers freely consulted to obtain practical suggestions, and no labor or expense spared to embody such improved methods of putting things, sanctioned by the best educators, as may not heretofore have found a place in any text-book. The work is analytic and inductive. Mental and written exercises have been combined, with the same forms of analysis applied to both. By this plan, not only a volume of separate mental arithmetic is rendered superfluous, but valuable time is saved, and the pupil's progress promoted by an order at once natural and scientific, The number of topics treated is necessarily limited, yet will be found sufficient in range to prepare for common business. It is proper to state that this volume has been edited by H. B. Maglathlin, A. M., who has been for many years associate editor of Greenleaf's Mathematical Series. It has been prepared as an accompaniment to that course, not to supersede any part of the same, but to supply a new educational want, which, heretofore, does not appear to have been exactly provided for, by any author. The present edition contains, among other improvements, a full presentation of the Metric System of Weights and Measures, whose use in this country has recently been legalized by Congress. KINGSTON, MASS., October, 1867. |