COMPILED

FROM THE BEST AUTHORS,

AND INTENDED TO BE THE

Text-Book

OF THE

COURSE OF PRIVATE LECTURES ON THESE SCIENCES

IN THE

UNIVERSITY AT CAMBRIDGE.

SECOND EDITION.

BY SAMUEL WEBBER, D. D. A. A. et S. P. A. Soc.

PRESIDENT OF THE UNIVERSITY AT CAMBRIDGE

IN TWO VOLUMES-VOL. I.

COPY RIGHT SECURED.

CAMBRIDGE.

PRINTED AT THE UNIVERSITY PRESS,

BY WILLIAM HILLIARD.

1808.

ADVERTISEMENT.

THE design, in making this Compilation, is to collect suitable exercises to be performed by the Classes at the private Lectures on Mathematics, given in the University. The view, which the CORPORA TION had of the great advantages, that the Students might derive from a judicious work of the kind, produced this attempt to promote their improvement. The parts of the most approved writings, selected for the purpose, are copied; with only such alterations, as appeared to be useful. The Authors of the principal part of most of the branches are Dr. HUTTON and Mr. BONNYCASTLE; the Navigation is principally from that of Mr. NICHOLSON: and much use has been made of a Manuscript, containing certain mathematical exercises to be performed by the Students, MOLE's Algebra, the Works of EMERSON, CRAKELT'S translation of MAUDUIT's Treatise on Spheric Trigonomety, and KELLY's Spherics.