Elementary Treatise on Natural Philosophy, Part 1

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D. Appleton, 1873 - 1068 pages

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Page 218 - The resistance which is opposed to a pump rod in raising water, is ~equal to the weight of a column of water whose base is the area of the piston, and...
Page 92 - If a vessel full of water, closed on all sides, has two openings, the one a hundred times as large as the other, and if each be supplied with a piston which fits exactly, a man pushing the small piston will exert a force which will equilibrate that of a hundred men pushing the Pig. 49.— Pascal's Principle. piston which is a hundred times as large, and will overcome that of ninety-nine.
Page 170 - A defence of the doctrine touching the spring and weight of the air, against the objections of Franciscus Linus.
Page 105 - Archimedean theorem, that, when a solid body is immersed in a liquid it loses a portion of its weight, equal to the weight of the fluid which it displaces, or to the weight of its own bulk of the liquid.
Page 9 - material point cannot change its state, whether of rest or motion. That is to say, if it be at rest it will remain at rest; if it be in motion it will continue to move in the same direction and with the same velocity. If, then, we see a material point which was at rest begin to move, or if we observe any change in the motion of a point, we say that it has been acted on by a force. Without entering upon the very obscure subject of the intimate nature of forces — without seeking to know whether they...
Page 63 - FORCE 63 particle revolving with velocity v (feet per second) in a circle of radius r (feet) is equal to a force which, acting continuously upon the same particle initially at rest, would in one second give it a velocity of ~. The centripetal force upon a mass of m pounds is — Gaussian pound units (42), and is equal to the weight of mr pounds.
Page 120 - When two or more substances are mixed without either shrinkage or expansion (that is, when the volume of the mixture is equal to the sum of the volumes of the components), the density of the mixture can easily be expressed in terms of the quantities and densities of the components.
Page 56 - If the body be turned into any other position, and left to itself, it will oscillate from one side to the other of the position of equilibrium, until the resistance of the air and the friction of the axis gradually bring it to rest. A body thus suspended, whatever be its form, is called a...
Page 192 - The apparatus for this experiment consists of a bell-shaped vessel of glass (Fig. 143), the base of which is pierced by a tube fitted with a stop -cock which enables us to exhaust the vessel of air. If, after a vacuum has been produced, we place the lower end of the tube in a vessel of water, and open the stop-cock, the liquid, being pressed externally by the atmosphere, mounts up the tube and ascends in a jet into the interior of the vessel. This experiment is often made in the opposite manner....
Page 226 - THEOREM. 265. If an opening is made in the side of a vessel containing water, the liquid escapes with a velocity which is greater as the surface of the liquid in the vessel is higher above the orifice, or to employ the usual phrase, as the head of liquid is greater. This point in the dynamics of liquids was made the subject of experiments by Torricelli, and the result arrived at by him was that the velocity of efflux is equal to that which would be acquired by a body falling freely from the upper...

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