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OF

MATHEMATICS;

FOR THE

USE OF ACADEMIES

AS WELL AS

PRIVATE TUITION.

IN TWO VOLUMES,

BY

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

LATE PROFESSOR OF MATHEMATICS IN THE ROYAL MILITARY ACADEMY,

THE FIFTH AMERICAN, FROM THE NΝΙΝΤΗ

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 Philosophical 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 Royal Military Academy.

WITH THE ADDITIONS

OF

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

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T. AND J. SWORDS; T. A. RONALDS; COLLINS AND CO.; COLLINS AND HAN-
NAT; G. AND C. AND H. CARVILL; WHITE, GALLAHER, AND WHITE;
0. A. ROORBACH; AND M'ELRATH AND BANGS.

1831.
CEL

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BE IT REMEMBERED, That on the 22d day of February, Anno Domini 1831, 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, In Two Volumes. By Charles Hutton, LL.D. F.R.S., late 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 Philosophical 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 Prefessor of Mathematics in the Royal Military Academy. With the Additions of Robert Adrait, LL.D. F.A.P.S. F.A. A.S., &c. and Professor of Mathematics ang Natural Philosophy. The whole corrected and improved."

the right whereof he claims as proprietor. In conformity with an Act of Congress, entitled" An Act to amend the several Acts respecting copy-rights."

FRED. J. BETTS,

Clerk of the Southern District of New-York.

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Geodesic Operations -

Problems in Trigonometrical Sur-

veys

On Algebraical Equations

Nature and Properties of Curves

Construction of Equations

Mechanics, Definitions, &c.

Statics

Parallel Forces, &c.

Mechanical Powers

Centre of Gravity

172 The Method of Tangents

Equilibrium of Arches

Dynamics

Collision of Bodies

Laws of Gravity, Falling Bodies,

Projectiles, &c.

Practical Gunnery

Inclined Planes, Pendulums, &c. 221

Central Forces

Steam Engine Governor

Centres of Percussion, Oscilla-

tion, and Gyration

Ballistic Pendulum

Of Hydrostatics

Buoyancy of Pontoons

Of Hydraulics, or Hydrodynamics 258

Of Pneumatics

Of the Siphon

Of the Common Pump

Of the Barometer

Of the Air-Pump

Diving Bell and Condenser

Of the Thermometer

Measurement of Altitudes by the

Barometer and Thermometer

Resistance of Fluids'

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276 Pressure of Earth and Fluids,

Theory of Magazines, &c.

464

279 Promiscuous Exercises

477

280. On the Exhaustion of Vessels by

562

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