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Página 65 - If a body moves, it must move either in the place where it is, or in the place where it is not : but either of these is impossible : therefore it cannot move.
Página 241 - For since the time of vibration is to the time of descent through half the length of the pendulum, as the circumference of a circle to its diameter, that is, as 3.14159 to 1?
Página 120 - The mechanical advantage of the wheel and axle, or crane, is as the velocity of the weight to the velocity of the power ; and, being only a modification of the first kind of lever, it of course partakes of the same principles.
Página 301 - Sections, and their % Ufe, for refolving of Equations in determinate and indeterminate Problems, being the pofthumous Work of the . Marquis de I'Hofpital.
Página 302 - Undertakings , Studies and Labours OF THE INGENIOUS. In many Confiderable Parts of the Wo RL D.
Página 203 - The force which accelerates tho motion of a heavy body on an inclined plane is to the force of gravity as the sine of the inclination of the plane to the radius, or as the height of the plane to its length. Iff— force accelerating the body on an inclined plane, of which the inclination is i, and if z = force of gravity, it will be found that f = gx sine t.
Página 65 - Parmenides, pretended to be so invincible, one of them was to prove there can be no such thing as motion, since a thing can neither move in the place where it is, nor in the place where it is not. But this...
Página 253 - Corollaries and Scholium, for Constant Forces, are true in the Motions of Bodies freely descending by their own Gravity; namely, that the velocities are as the Times, and the Spaces as the Squares of the Times, or as the Squares of the Velocities. FOR, since the force of gravity is uniform, and constantly the same, at all places near the earth's surface, or at nearly the same...
Página iii - Although now-a-days the mechanical Philosophy is in great Repute, and in this Age has met with many who cultivate it, yet in most of the Writings of the Philosophers, there is scarce anything mechanical to be found besides the Name. Instead whereof, the Philosophers substitute the Figures, Ways, Pores and Interstices of...