Mechanics for Beginners: With Numerous Examples

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Macmillan, 1867 - Mechanics - 350 pages

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Page 327 - The squares of the periodic times are proportional to the cubes of the major axes of the orbits.
Page 295 - Change of motion is proportional to the impressed force, and takes place in the direction of the straight line in which the force acts.
Page 295 - 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.
Page 10 - ... is represented in magnitude and direction by that diagonal of the parallelogram which passes through the particle.
Page 237 - ... point, then the resultant velocity will be represented in magnitude and direction by the diagonal, drawn from that point, of the parallelogram constructed on the two straight lines as adjacent sides.
Page 134 - This proportion teaches us that, when in equilibrium, the power is to the weight as the height of the plane is to its length.
Page 96 - The straight lines which join the middle points of the opposite sides of any quadrilateral bisect each other...
Page 16 - If three forces acting on a particle keep it in equilibrium, each force is proportional to the sine of the angle between the directions of the other two.
Page 13 - Then it is obvious that the particle will be in equilibrium; for there is no reason why it should move in one direction rather than in another.
Page 290 - A ball is projected in a given direction within a fixed horizontal hoop, so as to go on rebounding from the surface of the hoop ; find the limit to which the velocity will approach, and shew that it attains this limit in a finite time, e being less than 1.

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