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THE

ELEMENTS

OF

PLANE TRIGONOMETRY,

AND

THEIR APPLICATION TO THE MEASUREMENT OF
HEIGHTS AND DISTANCES, SURVEYING
OF LAND, AND LEVELLINGS.

PARTICULARLY ADAPTED TO

THE USE OF HIGH SCHOOLS AND ACADEMIES.

• BY

WILLIAM F. BRADBURY, A. M.

BOSTON:
TAGGARD AND THOMPSON,

29 CORNHILL.

EducT 168.64.245

MARVARD COLLEGE LIBRARY

C:

GEORGE A PLIMPTON
JANUARY 25, 1924

Entered according to Act of Congress, in the year 1864, by

WILLIAM F. BRADBURY,

in the Clerk's Office of the District Court for the District of Massachusetts.

UNIVERSITY PRESS:
WELCH, BIGELOW, AND COMPANY,

PREFACE.

ALTHOUGH many valuable books have been written upon the subjects treated of in this work, they are, for the most part, specially designed for College students. This book has been prepared with special reference to the wants of scholars and teachers in High Schools and Academies, by one who for more than ten years has been a practical teacher and for many years previous a practical surveyor. The object has been to bring together, and put in a form adapted to the use of such schools, the essential principles of Trigonometry and their most common applications. To make the book at the same time complete as a guide to the practical surveyor, several chapters have been added which would otherwise have been omitted.

This book presents, in the space of only sixty-five pages, all the essential principles of Plane Trigonometry by both the Geometrical and Analytical Methods, and their application to the measurement of heights and distances, with the explanation of all the tables required; and in as many more pages all that is essential to make the work complete for the common surveyor. This brevity has been attained by stating everything in the most concise form consistent with perspicuity, and by describing only

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