AN

ELEMENTARY TREATISE

ON

PLANE & 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, А. М.,

=

Perkins Professor of Astronomy and Mathematics in Harvard University.

THIRD EDITION, WITH ADDITIONS.

BOSTON:

JAMES MUNROE AND COMPANY.

M DCCC XLV.

Harvar Coary
Nov. 12, 1915

Transferred from
Mathematical Library

MAY 15 1903
Harvard University
Math. Dept. Library.

From the estate

of Dr. Gustavus Hay

Entered according to act of Congress, in the year 1845, by CONTENTS.

PLANE TRIGONOMETRY.

CHAP.

PAGE

I. General Principles of Plane Trigonometry

II. Sines, Tangents, and Secants

3

6

III. Right Triangles

20

IV. General Formulas

27

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

Secants, and Cosecants of certain Angles

VI. Oblique Triangles

VII. Logarithmic and Trigonometrical Series

37

47

65