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PLANE AND SPHERICAL TRIGONOMETRY

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PLANE AND SPHERICAL

TRIGONOMETRY

BY

CLAUDE IRWIN PALMER
Associate Professor of Mathematics, Armour Institute of Technology,

Author of a Series of Practical Mathematics

AND

CHARLES WILBER LEIGH

Associate Professor of Mathematics, Armour Institute of Technology

SECOND EDITION

REVISED AND ENLARGED

Ninth IMPRESSION

MCGRAW-HILL BOOK COMPANY, INC.
NEW YORK: 370 SEVENTH AVENUE
LONDON: 6 & 8 BOUVERIE ST., E. C. 4

COPYRIGHT, 1914, 1916, BY THE
MCGRAW-HILL BOOK COMPANY, Ino.
PREFACE TO SECOND EDITION

To meet the demands of many schools and colleges, a short chapter on Spherical Trigonometry is added in this edition. A number of new exercises have been inserted in the Plane Trigonometry, and corrections made.

THE AUTHORS. May, 1916.

PREFACE TO FIRST EDITION

This text has been written, because the authors felt the need of a treatment of trigonometry that duly emphasized those parts necessary to a proper understanding of the courses taken in schools of technology. Yet it is hoped that teachers of mathematics in classical colleges and universities as well will find it suited to their needs. It is useless to claim any great originality in treatment or in the selection of subject matter. No attempt has been made to be novel only; but the best ideas and treatment have been used, no matter how often they have appeared in other works on trigonometry.

The following points are to be especially noted: (1) The measurement of angles is considered at the beginning.

(2) The trigonometric functions are defined at once for any angle, then specialized for the acute angle; not first defined for acute angles, then for obtuse angles, and then for general angles. To do this, use is made of Cartesian coördinates, which are now almost universally taught in elementary algebra

(3) The treatment of triangles comes in its natural and logical order and is not forced to the first pages of the book.

(4) Considerable use is made of the line representation of the trigonometric functions. This makes the proof of certain theorems easier of comprehension and lends itself to many useful applications.

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