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ELEMENTS OF PLANE AND SPHERICAL TRIGONOME

TRY. With numerous Examples.

A TREATISE ON PLANE AND SPHERICAL TRIGONOME

TRY, and its applications to Astronomy and Geodesy.

With numerous Examples. AN ELEMENTARY TREATISE ON ANALYTIC GEOMETRY,

embracing Plane Geometry, and an Introduction to Geometry of Three Dimensions.

AN ELEMENTARY TREATISE ON THE DIFFERENTIAL

AND INTEGRAL CALCULUS. With numerous Exam. ples.

AN ELEMENTARY TREATISE ON ANALYTIC MECHANICS.

With numerous Examples. AN ELEMENTARY TREATISE ON HYDROMECHANICS.

With numerous Examples.

ON

PLANE AND SPHERICAL

CORRE
TRIGONOMETRY,

AND ITS APPLICATIONS TO

ASTRONOMY AND GEODESY,

WITH

NUMEROUS EXAMPLES.

BY

EDWARD A. BOWSER, LL.D.,

PROFESSOR OF MATHEMATICS AND ENGINEERING IN RUTGERS COLLEGE.

BOSTON, U.S.A. :
PUBLISHED BY D. C. HEATH & CO.

(1531
B14

COPYRIGHT, 1892,

BY E. A. BOWSER.

CAJORI

TYPOGRAPHY BY J. S. CUSHING & Co., Boston, U.S.A.
PRESSWORK BY BERWICK & SMITH, Boston, U.S.A.

PREFACE.

The present treatise on Plane and Spherical Trigonometry is designed as a text-book for Colleges, Scientific Schools, and Institutes of Technology. The aim has been to present the subjeet in as concise a form as is consistent with clearness, to make it attractive and easily intelligible to the student, and at the same time to present the fullest course of Trigonometry which is usually given in the best Technological Schools.

Considerable care has been taken to instruct the student in the theory and use of Logarithms, and their practical application to the solution of triangles. It is hoped that the work may commend itself, not only to those who wish to confine themselves to the numerical calculations which occur in Trigonometry, but also to those who intend to pursue the study of the higher mathematics.

The examples are very numerous and are carefully selected. Many are placed in immediate connection with the subject-matter which they illustrate. The numerical solution of triangles has received much attention, each case being treated in detail. The

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