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" VI, its 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.... "
A Course of Mathematics: For the Use of Academies as Well as Private Tuition ... - Seite 195
von Charles Hutton - 1831
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An introduction to natural philosophy or, Philosophical lectures. To which ...

John Keill - 1745 - 352 Seiten
...Time AC, through the Space AR; and in the Time AD, thro* the Space AS; the Spaces A<^ AR, AS, will be as the Squares of the Times, or as the Squares of the right Lines AB, AC, AD. But becaufe the moving Body not being acted upon by Gravity, in the Time AB...
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Book I. Of the apparent motions of the celestial bodies. Book II. Of the ...

Pierre Simon marquis de Laplace - 1809 - 408 Seiten
...velocities increase as the times and the heights from which bodies fall fall from a state of rest, vary as the squares of the times, or as the squares of the velocities. In expressing thus by unity the space a body falls in one second, it will descend four unities in two...
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A Plain Elementary and Practical System of Natural Experimental Philosophy ...

John Ewing - 1809 - 672 Seiten
...always proportional to the time of the fall. Thirdly, the spaces passed over by descending bodies are as the squares of the times, or as the squares of the last acquired velocities. For the spaces depend both on the times and velocities of the body passing...
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A Course of Mathematics: In Three Volumes : Composed for the Use of the ...

Charles Hutton - 1811 - 494 Seiten
...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...therefore descend by a force which acts constantly and . equally; consequently all the motions freely produced by gravity, are as above specified, by that...
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A Course of Mathematics for the Use of Academies, as Well as Private Tuition

Charles Hutton - 1822 - 680 Seiten
...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...therefore descend by a force which acts constantly and equally ; consequently all the motions freely produced by gravity are as above specified, by that proposition,...
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An Elementary Treatise on Mechanics: Comprehending the Doctrine of ...

John Farrar - 1825 - 476 Seiten
...instant ; so that the velocities acquired, increase as the times elapsed ; the spaces passed over are as the squares of the times, or as the squares of the velocities ; the velocities arc as the square roots of the spaces described ; the times are also as the squire...
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A Treatise on the Steam Engine in Its Application to Mines, Mills, Steam ...

John Bourne - 1851 - 346 Seiten
...centripetal forces are equal, the velocities are proportional to the times of revolution, and the distances as the squares of the times or as the squares of the velocities. When the central forces are proportional to the distances or radii of the circles, the times of revolution...
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The Practical Model Calculator: For the Engineer, Mechanic, Machinist ...

Oliver Byrne - 1851 - 310 Seiten
...centripetal forces are equal, the velocities are proportional to the times of revolution, and the distances as the squares of the times or as the squares of the velocities. When the central forces are proportional to the distances or radii of the circles, the times of revolution...
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The Mechanical Principles of Engineering and Architecture

Henry Moseley - 1856 - 738 Seiten
...squares of their like sides ; it therefore follows that in uniformly varied motion, the spaces are as the squares of the times, or as the squares of the velocities. As do represents the velocity acquired during the time Ad, supposing the body to have moved from a...
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The Mechanical Principles of Engineering and Architecture

Henry Moseley - 1856 - 742 Seiten
...squares of their like sides ; it therefore follows that in uniformly varied motion, the spaces are as the squares of the times, or as the squares of the velocities. As do represents the velocity acquired during the time Ad, supposing the bodv to have moved from a...
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