Mc Graw-Hill Book Co. Ine PUBLISHERS OF BOOKS FOR Coal Age ♡ Electric Railway Journal Electrical World ▾ Engineering News-Record American Machinist Ingeniería Internacional Engineering & Mining Journal ♡ Power Chemical & Metallurgical Engineering Electrical Merchandising SHOP MATHEMATICS PART I SHOP ARITHMETIC PREPARED IN THE EXTENSION DIVISION OF THE UNIVERSITY OF WISCONSIN BY EARLE B. NORRIS, M. E. ASSOCIATE PROFESSOR OF MECHANICAL ENGINEERING, IN CHARGE UNIVERSITY EXTENSION DIVISION AND KENNETH G. SMITH, A. B., B. S. DIRECTOR OF EXTENSION, IOWA STATE COLLEGE, AMES, IOWA. FIRST EDITION SIXTEENTH IMPRESSION MCGRAW-HILL BOOK COMPANY, INC. NEW YORK: 370 SEVENTH AVENUE 1912 HARVARD UNIVERSITY DIVISION CSEDU ATION BUREAU OF VOCATIONAL GUIDANCE N79 COPYRIGHT, 1912, BY THE THE MAPLE PRESS. YORK. PA PREFACE The aim of this book is to teach the fundamental principles of mathematics to shop men, using familiar terms and processes, and giving such applications to shop problems as will maintain the interest of the student and develop in him an ability to apply the mathematical and scientific principles to his every day problems of the shop. The problems and applications relate largely to the metal working trades. It has, however, been the aim in preparing this volume not to apply the work to these particular trades so closely but that it shall be of interest and value to men in other lines of industry. This volume presents the first half of the instruction papers in Shop Mathematics as developed and used by the Extension Division of the University of Wisconsin. As here offered, it embodies the point of view obtained through apprenticeship and shop experience as well as the experience gained through its use during the past four years as a text for both correspondence and class room instruction. It is believed that the book will be found suitable for home study and for use as a text in trade, industrial, and continuation schools. The instruction in arithmetic ends with Chapter XII. The remaining chapters are introduced to give further practice in calculation and to develop an ability to handle simple formulas, as well as to impart a knowledge of the principles of machines. The second volume will take up more fully the use of formulas and will teach the principles of geometry and trigonometry as applied to shop work. The authors are indebted to Mr. F. D. Crawshaw, Professor of Manual Arts in The University of Wisconsin, for a careful reading of the proof and for valuable criticisms and suggestions. THE UNIVERSITY OF WISCONSIN, MADISON, WIS. June 1, 1912. E. B. N. |