THE AMERICAN ARITHMETIC, IN WHICH THE PRINCIPLES OF NUMBERS ARE EXPLAINED AND ILLUSTRATED BY A GREAT VARIETY BY JAMES ROBINSON, PRINCIPAL OF THE MATHEMATICAL DEPARTMENT OF THE BOSTON: PUBLISHED BY JOHN P. JEWETT & CO. Entered according to Act of Congress, in the year 1847, by JAMES ROBINSON, In the Clerk's Office of the District Court of the District of Massachusetts. STEREOTYPED BY NEW ENGLAND TYPE AND STEREOTYPE FOUNDRY. PREFACE. THIS edition of the American Arithmetic has been carefully revised, and enlarged by the addition of about forty pages of new and useful matter, comprising more than three hundred practical problems, with rules and explanatory notes for solving a number of them; methods of analyzing problems and cancelling the equal factors of dividends and divisors; rules for computing interest upon notes on which partial payments have been made; rules for ascertaining the tonnage of ships, measuring round timber and spars; descriptions of board rules, used by surveyors of lumber; also, permutation and combination of numbers, exchange, horse power, and a number of useful tables. It is deemed important that every arithmetical term should be accurately defined; that every operation to be performed should be distinctly stated, and every principle fully illustrated by the solution of one or more problems; that each rule should be deduced from the illustration of the principle, and that the rule should designate the successive steps to be taken in the solution of all similar arithmetical problems. The peculiar characteristics of this treatise are, its accurate and complete definitions of arithmetical terms, and statement of operations to be performed; its lucid illustrations of the principles and properties of integral and fractional numbers, modes of operation in the solution of problems, and the accuracy and completeness of its rules deduced from those illustrations. |