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 WITH THE ADDITIONS OF ROBERT ADRAIN, LL.D. F.A.P.S. F.A.A.S, &c. T. AND J. SWORDS; T. A. RONALDS; COLLINS AND CO.; COLLINS AND HAN- 1831. 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. Of the Piling of Balls and Shells 289 Of Distances by the Velocity of 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' 276 Pressure of Earth and Fluids, Theory of Magazines, &c. 464 279 Promiscuous Exercises 477 280. On the Exhaustion of Vessels by 562 |