Mechanics for Beginners: With Numerous Examples

Macmillan, 1867 - 350 σελίδες

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Δημοφιλή αποσπάσματα

Σελίδα 260 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.
Σελίδα 210 - 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 327 - ... that the squares of the periodic times are proportional to the cubes of the mean distances of the planets from the Sun.
Σελίδα 16 - Conversely, if three forces act on a particle, and each force is proportional to the sine of the angle between the other two...
Σελίδα 10 - ... represented in magnitude and direction by that diagonal of the parallelogram which passes through the particle.
Σελίδα 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.
Σελίδα 13 - The nature of force is now, and always will be, unknown.' Force is known only by its effects: A point or particle at rest cannot give itself any motion since there is no reason why it should move in one direction rather than another. But if the particle is not forced to move upon a determinate curve, the curve which it describes possesses a singular property, which has been discovered by metaphysical considerations, ie between any two points is less than on every other curve, if the body be free,...
Σελίδα 74 - The intersection of the straight lines which join the middle points of opposite sides of any quadrilateral, is the middle point of the straight line which joins the middle points of the diagonals (I.
Σελίδα 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.
Σελίδα 264 - If you press a stone with your finger, the finger is also pressed by the stone. If a horse draws a stone tied to a rope, the horse (if I may so say) will be equally drawn back towards the stone...

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