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PLANE AND SPHERICAL
TRIGONOMETRY:

With

THEIR APPLICATIONS
To

HEIGHTS AND DISTANCES, PROJECTIONS OF THE
SPHERE, DIALLING, ASTRONOMY, THE solution
OF EQUATIONS, AND GEODESIC operaTIONs.

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OLINTHUS GREGORY, LL.D.
. . .” -
Of the Royal Military Academy,
vice-PRESIDENT of the London Philosophical society, Ann
HoNorARY MEMBER of the literary and philosophical, Ann
of THE ANTIQUARIAN, socieri Es At Newcastle upon Tyne.

LONDON.

PRINTED For BALDw1N, CRADock, AND Joy,
47, PATERNoster-Row;
W. BLACKwood, EDINBURGH; AND J. cum Ming,
DUBLIN. :

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PREFACE.

HE who wishes to acquire any other reputation than that of being useful, will not devote his time to the preparation of an elementary work. Such, however, is the humble honour after which I here aspire: and if the small volume I now lay before the public shall contribute, in any degree, to increase the knowledge and improve the taste of the mathematical student in the . stages of his progress, I shall have attained my object.

}; late years the authors of elementary treatises on different branches of mathematics, and especially Dr.

Hutton and Mr. Bonnycastle, in their compendious ma

nuals for popular use, have shown that it is possible, by judicious arrangement and selection, to compress much interesting, valuable, and scientific matter, within the compass of a small duodecimo volume. There can, I think, be no doubt that to the extensive circulation of this class of books, together with the stimulus furnished

by the annual problems in the Ladies’ and Gentleman’s

Diaries, and those proposed in the Senate House at

Cambridge, must principally be ascribed the circum

stance that mathematical knowledge, to a certain extent,

is more widely diffused over the middle classes of so

ciety in this country, than in any other part of Eu

rope.

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