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.

EducT 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.

TABLE OF CONTENTS.

Definitions,

Spherical Trigonometry and Spherical Triangle,

CHAPTER II.

Spherical Right Triangles,

CHAPTER I.

Napier's Rules (474), (475),

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. 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 I.

Solution of Spherical Right Triangles,

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

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

(569),

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

SECTION II.

(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),

Pago.

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