AN

ELEMENTARY TREATISE

ON

PLANE AND SPHERICAL TRIGONOMETRY,

WITH THEIR APPLICATIONS TO

NAVIGATION, SURVEYING, HEIGHTS AND DISTANCES,
AND SPHERICAL ASTRONOMY,

AND PARTICULARLY ADAPTED TO EXPLAINING

THE CONSTRUCTION OF BOWDITCH'S NAVIGATOR, AND THE
NAUTICAL ALMANAC.

BY

BENJAMIN PEIRCE, A. M.,

Perkins Professor of Astronomy and Mathematics in Harvard University.

NEW EDITION,

REVISED, WITH ADDITIONS.

BOSTON AND CAMBRIDGE:

JAMES MUNROE AND COMPANY.

MDCCC LII.

Entered according to Act of Congress, in the year 1852, by

JAMES MUNROE & COMPANY,

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

BOSTON:

THURSTON, TORRY, AND EMERSON, PRINTERS.

CONTENTS.

PLANE TRIGONOMETRY.

CHAP.

I. General Principles of Plane Trigonometry

II. Sines, Tangents, and Secants

III. Right Triangles

IV. General Formulas.

V. Values of the Sines, Cosines, Tangents, Cotangents, Secants,

and Cosecants of certain Angles

VI. Oblique Triangles

VII. Logarithmic and Trigonometrical Series

NAVIGATION AND SURVEYING.

PAGE

3

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30

38

52

PLANE TRIGONOMETRY.