A course of lectures on natural philosophy and the mechanical arts, Volume 2

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Taylor and Walton, Upper Gower Street, 1845 - Hydrodynamics
 

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Page iii - A body acted on by gravity descends in a straight line : find the space described in a given time, and prove that it is equal to half the space which would be described in the same time with the last acquired velocity continued uniform.
Page viii - He then gives the illustration (Fig. 7), shown on the preceding page, of "a wheel supposed to be capable of producing a perpetual motion; the descending balls acting at a greater distance from the center, but being fewer in number than the ascending. In the model, the balls may be kept in their places by a plate of glass covering the wheel.
Page xxxi - L adjusts the slider in such a manner, that the image is always distinctly painted on the screen G. When the box advances towards the screen, in order that the images may be diminished and appear to vanish, the support of the lens F suffers the screen M to fall, and intercept a part of the light. The rod KN must be equal to IK, and the point...
Page xxxi - Z>, on the painted slider at E, and the magnifier F forms the image on the screen at G. This lens is fixed to a slider, which may be drawn out of the general support or box H, and when the box is drawn back on its wheels, the rod IK lowers the point K, and by means of the rod KL adjusts the slider in such a manner, that the image is always distinctly painted on the screen G.
Page xviii - Because the greater pressure of the tooth on the edge of the cylinder The second diagram represents Mr. Arnold's watch escapement. The pin, A, projecting from the verge or axis of the balance, moving towards B, carries before it the spring, B, and with it the stiffer spring, C, so as to set at liberty the tooth, D, which rests on a pallet projecting from the spring. The angle, E, of the principal pallet has then just passed the tooth, F, and is impelled by it until the tooth, G, arrives at the detent....
Page xxii - Fig. 267. Two equal series of waves, diverging from the centres A and B, and crossing each other in such a manner that, in the lines tending towards C, D, E, and F, they counteract each other's effects, and the water remains nearly smooth, while in the intermediate spaces it is agitated. the first to be described to the student of optics.
Page vii - ... will diminish, but the power will increase in an equal ratio. This will, however, be better understood by reference to another figure. In this diagram two weights are placed in equilibrio, by means of the arrangement already described. The distance of the threads of the interior screw is four-fifths of that of the exterior or perforated screw, and this distance is one-thirtieth •Bof the circumference.
Page xl - We shall begin by investigating the form of the surface of a liquid in contact with a broad vertical plane, or wall.
Page xvii - ... surfaces into portions of the involutes of circíes, or the curves described by the point of a thread which has been wound round the wheel while it is uncoiled ; and this method appears to answer the purpose, in an easier and simpler manner than the former. The following figure represents the teeth, &c. of two wheels, formed into involutes of circles, described by uncoiling a thread from the dotted circles ; the point of contact of the teeth being always in the straight line, which touches both...
Page xxvii - Waves diverging from a point near the centre of a circle, and converging after reflection to a point at an equal distance on the other side of the centre.

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