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: 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.

EducT168.36.678

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 BALLOUυ.

[blocks in formation]

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

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 hypothenuse and an angle are known (558), (559),
(551),

2

10

10

13

14

16.

17

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

(569),

19

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

20

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

23

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

24

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

24

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