| John Keill - 1745 - 352 pages
...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... | |
| Pierre Simon marquis de Laplace - 1809 - 408 pages
...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... | |
| John Ewing - 1809 - 672 pages
...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... | |
| Charles Hutton - 1811 - 494 pages
...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... | |
| Charles Hutton - 1822 - 680 pages
...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,... | |
| John Farrar - 1825 - 476 pages
...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... | |
| John Bourne - 1851 - 346 pages
...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... | |
| Oliver Byrne - 1851 - 310 pages
...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... | |
| Henry Moseley - 1856 - 738 pages
...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... | |
| Henry Moseley - 1856 - 742 pages
...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... | |
| |