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SHOP MATHEMATICS

PART I
SHOP ARITHMETIC

Published by the

McGraw-Hill Book Company

New York,

Successors to the Book Departments of the
McGraw Publishing Company Hill Publishing Company

1

Publishers of Books for Electrical World

The Engineering and Mining Journal Engineering Record

American Machinist Electric Railway Journal

Coal Age Metallurgical and Chemical Engineering

Power

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
OF MECHANICAL ENGINEERING COURSES IN THE

UNIVERSITY EXTENSION DIVISION

AND

KENNETH G. SMITH, A. B., B. S.

ASSOCIATE PROFESSOR OF MECHANICAL ENGINEERING, DISTRICT
REPRESENTATIVE IN CHARGE OF FIRST DISTRICT, THE

UNIVERSITY EXTENSION DIVISION, MILWAUKEE

FIRST EDITION

SECOND IMPRESSION

MCGRAW-HILL BOOK COMPANY
239 WEST 39TH STREET, NEW YORK
6 BOUVERIE STREET, LONDON, E. C.

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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.

E. B. N.
THE UNIVERSITY OF WISCONSIN,

MADISON, Wis.
June 1, 1912.

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