Elementary Treatise on Natural Philosophy, Τόμος 1


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Σελίδα 41 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.
Σελίδα 11 - More generally, the moment of a force about a point is the product of the force by the length of the perpendicular dropped upon it from the point.
Σελίδα 214 - 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...
Σελίδα 86 - 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 piston which is a hundred times as large, Fig. 54.— Principle of the Hydraulic Press. and will overcome that of ninety-nine.
Σελίδα 67 - ... (or the length of the pendulum), the acceleration at any point is g sin *This is sensibly proportional to x so long as a? is a small fraction of r; but in general it is not proportional to x, and hence the vibrations are not in general isochronous. To obtain strictly isochronous vibrations we must substitute for the circular arc a curve which possesses the property of having an inclination whose sine is simply proportional to distance measured along the curve from the lowest point. The curve...
Σελίδα 48 - ... the centimetre as the unit of length, the gramme as the unit of mass, and the second as the unit of time.
Σελίδα 115 - 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.
Σελίδα 84 - In a fluid at rest, the pressure is the same at all points in the same horizontal plane. This appears from considering the equilibrium of a horizontal cylinder AB (Fig.

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