PROGRESSIVE ARITHMETIC THIRD BOOK BY WILLIAM J. MILNE, PH.D., LL.D. PRESIDENT OF NEW YORK STATE NORMAL COLLEGE, ALBANY, N.Y. NEW YORK.:. CINCINNATI .:. CHICAGO THIS book, which is intended for use in the highest grades in our grammar schools, has been constructed upon a broader and more comprehensive plan than the preceding books in the series. The desirability of gathering together in a somewhat complete whole the knowledge that students have previously acquired, and of including the essentials of arithmetic in a single volume, has led to the adoption of the purely topical method of presentation. Great care has been expended on the method of presenting the various principles and on the solutions, with the aim of making them in the highest degree clear, concise, accurate, and practical. By treating together in some instances subjects which though logically related are usually separated, it has been possible to simplify considerably the methods of solution generally employed. (Analysis of problems has received adequate attention, and algebraic methods of solution have been introduced for the purpose of simplifying the processes in certain classes of problems. The problems have been framed with the greatest care. They are not numerical puzzles, nor are they based on unreal conditions. They have been made both rational and practical, nie 3 as the ove |