DAVIES AND PECK'S UNITED COURSE. ELEMENTARY ARITHMETIC. ORAL AND WRITTEN. BY WILLIAM G. PECK, PH.D., L.L.D., PROFESSOR OF MATHEMATICS AND ASTRONOMY IN COLUMBIA COLLEGE, AND OF A. S. BARNES & COMPANY, PUBLISHERS. BARVARD COLLEGE LIBRA GIFT OF THE BRADUATE SCHOD OF EDUCATION DAVIES AND PECK'S SHORT COURSE IN MATHEMATICS IN FOUR BOOKS. ELEMENTARY ARITHMETIC. COMPLETE ARITHMETIC. MANUAL OF ALGEBRA. MANUAL OF GEOMETRY. Copyrighted, 1878, by WILLIAM G. PECK. PREFACE. HIS work is designed as the Introductory Volume is especially adapted to beginners. It is believed that the subjects are treated in such a manner as to interest and awaken the attention of the young. In preparing the work, three objects have been constantly kept in view. 1. To make it educational. 2. To make it practical. 3. To adapt it to the capacity of any child whose mind is sufficiently mature to commence the study of arithmetic. To attain these objects, every new subject has been introduced by an inductive process, and the idea thus developed has been expressed in the form of a definition. The methods and rules have been deduced from practical operations and enforced by familiar illustrations. To direct the attention to important principles, leading test questions have been freely introduced. In determining the subjects to be included, and the space to be assigned to each, the author has been guided by a consideration of the natural development of the |