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" 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. "
An Account of Sir Isaac Newton's Philosophical Discoveries: In Four Books - Page 167
by Colin MacLaurin - 1750 - 412 pages
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An introduction to natural philosophy or, Philosophical lectures. To which ...

John Keill - 1745 - 352 pages
...of the Weight from the Fulcrum to CA, the Diftance of the Direction of the Power from the Fulcrum, the Power will be to the Weight, as the Velocity of the Weight to the Velocity of the Power; the Momentum therefore of the Power [by Cor. 3. Theor. 3.] will be equal to the Momentum of the Weight:...
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Philosophia Britannica: Or, A New & Comprehensive System of the Newtonian ...

Benjamin Martin - 1747 - 398 pages
...whofe Ufe is both for Prtf. fure and rtifing of Weights, but chiefly the former.. mer. 'The Power is to the Weight, as the Velocity of the Weight to the Velocity of the Power, that is, as the Diftance between two Threads of the Screw to the Circumference of a Circle described...
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Cyclomathesis: Or, An Easy Introduction to the Several Branches of ..., Volume 7

William Emerson - 1769 - 370 pages
...wheels that drive one another. And the fame is true of wheels carried about by ropes. For the power is to the weight ; as the velocity of the weight to the velocity of the power. And the number- of teeth in the wheels and pinions, that drive one another, are as the diameters. And...
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Mechanics, Or, The Doctrine of Motion ..., Volume 6

William Emerson - 1769 - 170 pages
...wheels that drive one another. And the fame is true of wheels carried about by ropes. For the power is to the weight ; as the velocity of the weight to the velocity of the power. And the number of teeth in the wheels and pinions, that drive one another, are as the diameters. And...
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Tracts: Containing: I. Mechanics, Or the Doctrine of Motion: II.

William Emerson - 1793 - 386 pages
...wheels that drire one another. And the fame is true of wheels carried about by ropes. For the power is to the weight; as the velocity of the weight to the velocity of the power. And the number of teeth in the wheels and pinions, that drive one another, are as the diameters. And...
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Lectures on Natural and Experimental Philosophy: Considered in It ..., Volume 3

George Adams - 1794 - 540 pages
...power and the refiftance ; for the power always balances the weight, when it is in the fame proportion as the velocity of the weight to the velocity of the power. Or, 2. By fetting . down the ratios of the power to the weight on each mechanical power, the fum of...
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A New and Complete System of Arithmetick: Composed for the Use of the ...

Nicolas Pike - 1808 - 470 pages
...stone's descent. OF THE LEVER OR STEELYARD. 86. It is a principle in mechanicks, that the power is to the weight, as the velocity of the weight, to the velocity of the power. Therefore, to find what weight may be raised or balanced by any given power, say ; , As the distance between the...
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A Plain Elementary and Practical System of Natural Experimental Philosophy ...

John Ewing - 1809 - 672 pages
...power of consequence passed over two feet. Therefore to constitute an equilibrium, the power being to the weight as the velocity of the weight to the velocity of the power, one will be double to the other. If the rope therefore instead of being held in the hand above, pass...
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The Panorama of Science and Art: Embracing the Sciences of ..., Volume 1

James Smith - 1815 - 684 pages
...or weight; for the power always Wheel-work. balances the weight, when it is in the same proportion as the •velocity of the weight to the velocity of the power. Or, divide the machine into all the simple ones of which it is formed ; then begin at the power nnd...
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Logarithmick Arithmetick: Containing a New and Correct Table of Logarithms ...

1818 - 264 pages
...sfeade. Ans. 270 feet. OF THE LEVER OR STEELYARD. It is a principle in Mechanicks, that the power is to the weight, as the velocity of the weight, to the velocity of the power ; therefore to find what weight may be raised or balanced by any given power, say ; As the distance between the...
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