THE AMERICAN PHILOSOPHICAL ARITHMETIC DESIGNED FOR THE USE OF ADVANCED CLASSES IN SCHOOLS AND ACADEMIES; CONTAINING THE ELEMENTARY AND THE MORE ADVANCED PRINCIPLES OF TOGETHER WITH CONCISE AND ANALYTIC METHODS OF SOLUTION, AND BY JOHN F. STODDARD, A.M., PRINCIPAL OF THE LANCASTER COUNTY, NORMAL SCHOOL, PA. AUTHOR OF THE JUVENILE MENTAL, ""THE AMERICAN INTELLECTUAL," AND 66 READY RECKONER," ETC. NEW YORK: SHELDON, BLAKEMAN & CO. PHILADELPHIA, LIPPINCOTT, GRAMBO & CO. BOSTON, JOHN P. JEWETT & CO. Entered according to Act of Congress, in the year 1858. OF JOHN F. STODDARD, In the Clerk's Office of the District Court of the United States, for the Southern District of New York. PREFACE. 5145 I HAVE attempted in this work to present CLEARLY and CONCISELY, all those important principles and properties of numbers, which are necessary to a full comprehension of the higher branches of Mathematics, and their application to practical business and scientific calculations. The arrangement and illustration of these principles will enable the pupil to think for himself, independent of arbitrary rules, and summon to his aid on the instant all his arithmetical knowledge. This work treats extensively of mercantile transactions, interest, trade and barter, abbreviated arithmetical calculations, &c., and contains several principles not heretofore published, of extensive and practical application. A Key containing additional methods of analysis, and answers, (if deemed indispensable,) will be prepared for the use of Teachers. UNIVERSITY OF NORTHERN PENNSYLVANIA, } 4th, 1853. J. F. S. M306023 |