An Elementary Treatise on Mechanics: Comprehending the Doctrine of Equilibrium and Motion, as Applied to Solids and Fluids, Chiefly Compiled, and Designed for the Use of the Students of the University at Cambridge, New England

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Hillard and Metcalf, at the University Press; sold by W. Hilliard, 1825 - 440 pages

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Page ii - Co. of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit : " Tadeuskund, the Last King of the Lenape. An Historical Tale." In conformity to the Act of the Congress of the United States...
Page ii - An Elementary Treatise on Mechanics, comprehending the Doctrine of Equilibrium and Motion, as applied to Solids and Fluids, chiefly compiled, and designed for the use of the Students of the University at Cambridge, New England. By John Farrar, Professor of Mathematics and Natural Philosophy.
Page 34 - ... the sum of the moments of the forces which tend to turn the body in one direction must be equal to the sum of the moments of those which tend to turn it in the opposite direction about the same axis.
Page ii - CLERK'S OFFIcE. BE it remembered, that on the eleventh day of November, AD 1830, in the fiftyfifth year of the Independence of the United States of America, Gray & Bowen, of the said district, have deposited in this office the title of a book, the right whereof they...
Page ii - States entitled an act for the encouragement of learning hy securing the copies of maps, charts and books to the author., and proprietors of such copies during the times therein mentioned, and also to an act entitled an act supplementary to an act, entitled an act for the encouragement of learning by securing the copies of maps, charts and books to the authors and proprietors of such copies during the times therein mentioned and extending the benefits thereof to the arts of designing, engraving and...
Page 354 - ... have, in the short branch, a quantity of air separated from the external air, and at the same pressure. Mercury is then poured into the long branch, so as to reduce the volume of this inclosed air by one-half; it will then be found that the difference of level of the mercury in the two branches is equal to the height of the barometer at the time of the experiment; the compressed air therefore exerts a pressure equal to that of two atmospheres. If more mercury be poured in so as to reduce the...
Page 416 - Here, too, we drop the consideration of friction and the weight of the piston. 536. The velocity of the water flowing from the sucking pipe into the barrel should be equal to the velocity with which the piston moves. For if it be greater, less work will be done than the pump is competent to effect; and if it be less, a vacuum will be produced below the piston, which will therefore be moved upwards with great difficulty. If v be the velocity of the water in the sucking pipe, d the diameter of that...
Page 388 - ... water. A body in motion appears to be resisted by a stagnant fluid, because it is a law of mechanical nature that force must be employed in order to put any body in motion. Now, the body cannot move forward without putting the contiguous fluid in motion, and force must be employed for producing this motion.
Page 359 - If this is so it is seen that air is being depleted from that part of the pattern between the ridge line AB and the trough line CD while it is accumulating between CD and EF. There is consequently divergence to the...
Page 415 - Hence the total pressure upon the side of a vessel containing water will be equal to the weight of a column of water whose base is equal to the area of...

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