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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, LL.D.,

Perkins Professor of Astronomy and Mathematics in Harvard University;
and Consulting Astronomer to the American Ephemeris and Nautical Almanac.

REVISED EDITION.

BOSTON AND CAMBRIDGE:

JAMES MUNROE AND COMPANY.

M DCCC LXI.

Math 801861

1873. May 20. Substituted for c for a copy lost.

Entered according to Act of Congress, in the year 1861, by

JAMES MUNROE AND COMPANY,

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

JUL 5- 2001

CABOT SCIENCE LIBRARY

CAMBRIDGE:

THURSTON & MILES,

PRINTERS.

ADVERTISEMENT.

THE first three parts of this treatise, comprising Plane Trigonometry, Navigation and Surveying, and Spherical Trigonometry, have been revised for the present edition, under the direction of the author. Some sections have been rewritten, and some additions have been made, but in all essential respects the book remains unaltered. The original numbering of the formulas has been preserved; and in the few cases in which the numbering of the sections has been changed, that of the former editions has been speedily restored.

In the Spherical Astronomy, the notation of the chapter on Eclipses has been conformed to that used in the American Ephemeris and Nautical Almanac.

The tables of the Navigator referred to in the first three parts of the work may be found, with a very few exceptions of slight importance, in Bowditch's Useful Tables, a convenient selection from the Navigator, published by Messrs. E. and G. W. Blunt, New York. The only necessary tables, indeed, in this portion of the book, are those of logarithms of numbers, of logarithmic sines &c., of meridional parts, and of the correction for the middle latitude.

1861, March.

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