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BOWSER'S MATHEMATICS.

ACADEMIC ALGEBRA. With numerous Examples.
COLLEGE ALGEBRA. With numerous Examples.

PLANE AND SOLID GEOMETRY.

cises.

With numerous Exer

ELEMENTS OF PLANE AND SPHERICAL TRIGONOMETRY. With numerous Examples.

A TREATISE ON PLANE AND SPHERICAL TRIGONOMETRY, 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 Examples.

AN ELEMENTARY TREATISE ON ANALYTIC MECHANICS. With numerous Examples.

AN ELEMENTARY TREATISE ON HYDROMECHANICS. With numerous Examples.

ELEMENTS

OF

PLANE AND SPHERICAL

TRIGONOMETRY,

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.
1892.

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PREFACE.

THE present work on Plane and Spherical Trigonometry is designed as a text-book for High Schools, Academies, and Colleges. It is a brief practical course, intended for those who wish to learn the elements of Trigonometry, which subject it covers as far as to the end of the solution of Spherical triangles. The aim has been to give simple and elementary demonstrations, to make the subject clear and interesting to the learner, and to furnish only so much of Trigonometry as is actually taught in our best Colleges.

The examples are very numerous and for the most part easy, and are carefully selected, so as to illustrate every part of the subject. Those at the ends of the chapters are progressive, and arranged so as to give the student a thorough drill in trigonometric work and in numerical computation. Especial attention has been given to the numerical solutions of triangles, each case being treated in detail.

It is assumed in this work that the student has received from Algebra a knowledge of the nature

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