f

OF AN

ELEMENTARY TREATISE

ON

SPHERICAL TRIGONOMETRY.

BY BENJAMIN PEIRCE, A. M.,

UNIVERSITY PROFESSOR OF MATHEMATICS AND NATURAL PHILOSOPHY IN

HARVARD UNIVERSITY.

BOSTON.

JAMES MUNROE AND COMPANY.

M DCCC XXXVI.

Educ T 168.36.678

Entered according to Act of Congress, in the year 1836

By JAMES MUNROE & Co.,

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

CAMBRIDGE PRESS:
METCALF, TORRY, AND BALLOU.

Rules for determining whether the sides and angles of spheri-
cal right triangles are obtuse or acute (495), (505), (517),
(519), (540), .

10

10

13

14

The sines, &c. of angles less than 180° (496), (507),
Theorems on spherical triangles which contain two or more
right angles (522), (534), (535), (539),

The sum of the angles of a spherical right triangle (540),

SECTION II.

Solution of Spherical Right Triangles,

when the hypothenusc and an angle are known. (558), (559),
(561),

when the hypothenuse and a leg are known (566), (567),
(569),

when a leg and the opposite angle are known (572), (574),
(575),

when a leg and the adjacent angle are known (585), (586),
(588),

when the two legs are known (589), (592),

when the two angles are known (593), (596),