A COURSE FOR GRAMMAR SCHOOLS AND BEGINNERS BY WILLIAM J. MILNE, PH.D., LL.D. DEPARTMENT OF EDUCATION LELAND STANFORD JUNIOR UNIVERSITY NEW YORK .:. CINCINNATI .:. CHICAGO 629217 MILNE MATHEMATICS MILNE'S ELEMENTS OF ARITHMETIC MILNE'S STANDARD ARITHMETIC MILNE'S ELEMENTS OF ALGEBRA A Course for Beginners MILNE'S HIGH SCHOOL ALGEBRA Copyright, 1894, by AMERICAN BOOK COMPANY. Elmts. Alg. EP 21 PREFACE. ALGEBRA has not always proved to be an interesting subject to the younger classes in our secondary or lower schcols; indeed, in very many instances it has been greatly disliked by the students in such institutions. Two causes, chiefly, have conspired to produce this unfortunate condition of affairs, one the unattractive and uninteresting method of presenting the subject; the other, the difficulty of the examples and the complexity of the problems presented to the pupils for solution. It is believed that this text-book presents the elementary facts of the science in such a manner that a deep interest will be awakened in algebraic processes, and that the examples which the student is required to solve are quite within the scope of his ability to master. The author has in several instances departed from the order of classification commonly followed in text-books on algebra, because he has preferred to arouse an interest in the subject rather than to follow an order which is scientific, but which does not introduce the student to the attractive features of the study until he has mastered all the processes employed with most forms of algebraic quantities. And yet in no instance have erroneous mathematical ideas |