| 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... | |
| |