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B. Tickuos

А

COURSE

OF

MATHEMATICS;

FOR THE

USE OF ACADEMIES

AS WELL AS

PRIVATE TUITION,

IN TWO VOLUMES.

BY

CHARLES HUTTON, LL.D. F.R.S.

LATZ PROFESSOR OF MATHEMATICS IN THE ROYAL MILITARY ACADEMY.

THE FIFTH AMERICAN, FROM THE NINTH

LONDON EDITION,
WITH MANY CORRECTIONS AND IMPROVEMENTS.

BY OLINTHUS GREGORY, LL.D.
Corresponding Associate of the Academy of Dijon, Honorary Member of the Literary

and Philosopbical Society of New York, of the New York Historical Society, of the
Literary and Philosophical, and the Antiquarian Societies of Newcastle upon Tyne,
of the Cambridge Philosophical Society, of the Institution of Civil Engineers, &c. &c.
Secretary to the Astronomical Society of Loadon, and Professor of Mathematics in
the Royal Military Academy.

WITH THE ADDITIONS

OF
ROBERT ADRAIN, LL.D. F.A.P.S. F.A.A.S, &c.
And Professor of Mathematics and Natural Philosophy.

THE WHOLE

CORRECTED AND IMPROVED,

VOL. I.

NEWYORK:

W. E. DEAN, PRINTER,
T. AND S. SWORDS; 1. A. RONALDS; COLLINS AND CO.; COLLINS AND PAN-
NAY ; G. AND C. AND H. CARVILL ; WHITE, GALLAHER, AND WHITE;

0. A. ROORBACH; AND M'ELRATH AND BANGS.

1831.

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Southern District of Now York, to wit: BE IT REMEMBERED, That on the 22d day of February, Anno Domini 1881, W. E. DEAN, of the said district, hath deposited in this office the title of a book, the title of which is in the words following, to wit: " A Course of Mathematics; for the use of Academies as well as private tuition. la

Two Volumes. By Charles Hutton, LL.D. F.R.S., lato Professor of Mathematics in the Royal Military Academy. The Fifth American from the Ninth Loodon Edition, with many corrections and improvements. By Olinthus Gregory, LL.D. Corresponding Associate of the Academy of Dijon, Honorary Member of the Literary and Philo. sophical Society of New-York, of the New-York Historical Society, of the Literary and Philosophical, and the Antiquarian Societies of Newcastle upon Tyne, of the Cambridge Philosophical Society, of the Institution of Civil Engineers, &c. &c. Secretary to the Astronomical Society of London, and Professor of Mathematics in the Ro yal Military Academy. With the Additions of Robert Adrain, LL.D. F.A.P.S. F.A. A.S., &c. and Professor of Mathematics and Natural Philosophy. The whole correct

od and improved."
the right whereof be claims us proprietor. Io conformity with an Act of Congress, es-
titled " An Act to spend the several Acts respecting copy-rights."

PRED. J. BETTA,
Clark of the Southern District of X-York.

PREFACE.

The present American edition is in part a reprint of the Ninth English edition by Dr. OLINTHUS GREGORY, with most of the improvements introduced into former American editions by Dr. ADRAIN, together with such modifications of the English editions as appeared calculated to increase the general usefulness of the work." At the same time two or three Chapters, devoted to subjects of no great value at present to the American student, have been omitted, to leave room for matter of more interest and importance.

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