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Cambridge:

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

AT THE UNIVERSITY PRESS.

PREFACE.

THE following work will,

HE following work will, I hope, be found to be a

fairly complete elementary text-book on Plane Trigonometry, suitable for Schools and the Pass and Junior Honour classes of Universities. In the higher portion of the book I have endeavoured to present to the student, as simply as possible, the modern treatment of complex quantities, and I hope it will be found that he will have little to unlearn when he commences to read treatises of a more difficult character.

As Trigonometry consists largely of formulæ and the applications thereof, I have prefixed (on pages x to xvi) a list of the principal formulæ which the student should commit to memory.

These more important formulæ are distinguished in the text by the use of thick type. Other formulæ are subsidiary and of less importance.

The number of examples is very large. A selection only should be solved by the student on a first reading.

On a first reading also the articles marked with an asterisk should be omitted.

Considerable attention has been paid to the printing of the book and I am under great obligation to the Syndics of the Press for their liberality in this matter, and to the officers and workmen of the Press for the trouble they have taken.

I am indebted to Mr W. J. Dobbs, B.A., late Scholar of St John's College, for his kindness in reading and correcting the proof-sheets and for many valuable suggestions.

For any corrections and suggestions for improvement I shall be thankful.

S. L. LONEY.

ROYAL HOLLOWAY COLLEGE,

EGHAM, SURREY.

September 12, 1893.

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