PRACTICAL ARITHMETIC; IN WHICH THE SCIENCE AND ITS APPLICATIONS ARE SIMPLIFIED BY INDUCTION AND ANALYSIS. PREPARED TO ACCOMPANY THE MATHEMATICAL SERIES OF BENJAMIN GREENLEAF, A. M. BY THE EDITOR OF NEW ELEMENTARY ALGEBRA," NEW HIGHER BOSTON: PUBLISHED BY ROBERT S. DAVIS & CO. NEW YORK: OAKLEY, MASON & CO., AND W. I. POOLEY. PHILADELPHIA: J. A. BANCROFT & COMPANY. ST. LOUIS: HENDRICKS & CHITTENDEN. CHICAGO: S. C. GRIGGS & CO. 1871. HARVARD COLLEGE LACHARY BY EXCHANGE JAN 8 1937 GREENLEAF'S NEW COMPREHENSIVE SERIES. 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. * Each book in the series is complete in itself. KEYS to PRACTICAL ARITHMETIC, ALGEBRAS, GEOME TRY, and TRIGONOMETRY, in separate volumes, for teachers only. Entered, according to Act of Congress, in the year 1866, by HENRY B. MAGLATHLIN, In the Clerk's Office of the District Court of the District of Massachusetts. Entered, according to Act of Congress, in the year 1867, by In the Clerk's Office of the District Court of the District of Massachusetts. INTRODUCTION. CULTURE is progressive in its nature. higher, is the true educational spirit. Higher, still Advance in methods of instruction makes new, improved text-books a necessity; and, to subserve wants apparently not heretofore fully provided for, this work has been carefully prepared. Without being in any respect redundant, it is intended to be complete in details and comprehensive in scope; Combining with processes the most scientific the greatest simplicity; Developing principles by inductive methods, deducing rules from rational solutions, and encouraging self-reliance and originality by numerous exercises in analysis; Making written arithmetic in all its steps intellectual; and Keeping prominently in view the practical uses of numbers, by various applications of a business character. While it avoids obsolete or useless material, it properly treats new topics requiring attention, such as the Metric System of Weights and Measures, Annual Interest, Internal Revenue, etc.; and Enforces thorough educational results, by orderly arrangement of subjects, and by systematic review ques tions and exercises. (111) |