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" The force that accelerates the motion of a body down an inclined plane is to the force of gravity as the height of the plane is to its length, or as the sine of the angle of the plane's inclination to radius. "
Elementary Illustrations of the Celestial Mechanics of Laplace: Part the ... - Page 125
by Pierre Simon marquis de Laplace, Thomas Young - 1821 - 344 pages
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Book I. Of the apparent motions of the celestial bodies. Book II. Of the ...

Pierre Simon marquis de Laplace - Astronomy - 1809 - 408 pages
...plane which is destroyed by its resistance, the other parallel to the plane which is to the primitive force of gravity as the height of the plane is to its length ; motion is therefore uniformly accelerated on inclined planes ; but the velocities, and the spaces...
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Outlines of Natural Philosophy: Being the Heads of a Course of ..., Volumes 1-2

James Renwick - Physics - 1822 - 476 pages
...INCLINED PLANES. 156. The force that accelerates the motion of a body down an inclined plane is to the force of gravity as the height of the plane is to its length, or as the sine of the angle of the plane's inclination to radius. The motion of a body down an inclined...
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Encyclopaedia Britannica; Or A Dictionary of Arts, Sciences, and ..., Volume 13

Encyclopedias and dictionaries - 1823 - 876 pages
...moves 'along an inclined plane, (( tx\!. the force which accelerates or retards its motion, is' I- is to the -whole force of gravity as the height of the plane is to its length, or as the sine of its inclination is to radius. Let ABC be the inclined plane, A the place of the body,...
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Dictionary of the Mathematical and Physical Sciences, According to the ...

James Mitchell - Mathematics - 1823 - 666 pages
...plane is to the length. 4. The torce whereby a body descends down an inclined plane is to the absolute force of gravity, as the height of the plane is to its length; which being a constant ratio for the same plane, it follows that the force whereby the body descends...
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A Treatise on Trigonometry, Plane and Spherical: With Its Application to ...

Charles William Hackley - Trigonometry - 1851 - 524 pages
...incidence to the sine of the angle of refraction. Ant. -8. • The force down an inclined plane is to the force of gravity, as the height of the plane is to its length. • APPENDIX I. 1. We have postponed to this place the investigation of a few formulas requisite for...
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The Elements of Physics: A Textbook for Academies and Common Schools

Sidney Augustus Norton - Physics - 1875 - 304 pages
...surface, and the other tending to produce motion down the plane. This latter portion bears the same ratio to the whole force of gravity as the height of the plane does to its length; and, hence, we may diminish the velocity of the ball at pleasure by lowering the...
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