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ELEMENTARY TRIGONOMETRY.

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TRIGONOMETRY

BY

Henry enclair

H. S. HALL, M.A.,

FORMERLY SCHOLAR OF CHRIST'S COLLEGE, CAMBRIDGE;

MASTER OF THE MILITARY SIDE, CLIFTON COLLEGE.

AND

S. R. KNIGHT, B.A., M.B., Ch.B.,

FORMERLY SCHOLAR OF TRINITY COLLEGE, CAMBRIDGE;
LATE ASSISTANT MASTER AT MARLBOROUGH COLLEGE.

London:
MACMILLAN AND CO.

AND NEW YORK.

1893

[All Rights reserved.]

HARVARD
UNIVERSITY

LIBRARY

گرگ / 3

Cambridge: PRINTED BY C. J. CLAY, M.A. AND SONS,

AT THE UNIVERSITY PRESS.

PREFACE.

THE

\HE following pages will be found to comprise all the

parts of Elementary Trigonometry which can conveniently be treated without the use of infinite series and imaginary quantities.

The chapters have been subdivided into short sections, and the examples to illustrate each section have been very carefully selected and arranged, the earlier ones being easy enough for any reader to whom the subject is new, while the later ones, and the Miscellaneous Examples scattered throughout the book, will furnish sufficient practice for those who intend to pursue the subject further as part of a mathematical education.

No substantial progress in Trigonometry can be made until the fundamental properties of the Trigonometrical Ratios have been thoroughly mastered. To attain this object very considerable practice in easy Identities and Equations is necessary.

We have therefore given special prominence to examples of this kind in the early pages; with the same end in view we have postponed the subject of Radian or Circular Measure to a later stage than is usual, believing that it is in every way more satis

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