 | 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
...PROPOSITION XVlII. €9. All the Properties of Motion delivered in Proposition VI, its Corollaries and Scholium, for Constant Forces, are true in the...places near the earth's surface, or at nearly the same distance from the centre of the earth ; and since • this is the force by which bodies descend to... | |
 | Charles Hutton - 1811 - 442 pages
...All the Properties of Motion delivered in Proposition VI, its Carollaries and Scholium, jir Canstant Forces, are true in the Motions of Bodies freely descending...places near the earth's surface, or at nearly the same distance from the centre of the earth ; and since this is the force by which bodies descend to the... | |
 | Charles Hutton - 1822 - 680 pages
...SPACE. PROPOSITION XVHI. 69. 'All the properties of Motion delivered in Proposition FI, its Corollaries and Scholium, for Constant Forces, are true in the...places near the earth's surface, or at nearly the same distance from the centre of the earth ; and since this is the force by which bodies descend to the... | |
 | 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... | |
 | Perry Fairfax Nursey - 1828 - 474 pages
...through 10- feet in the first second, and that it« velocity at the end of 1st sec. is =£yjX2 ; also, that the velocities are as the times, and the spaces as the square of the times : hence, the following proportions, where ¿- denotes 10 -( and 29 the velocity... | |
 | 1833 - 496 pages
...increase as the numbers 1. 3. 5. 7. &c. — not forgetting the acknowledged rule, that the vcloci* ties are as the times, and the spaces as the squares of the times.— I am, &c., yonr very obedient, RICHARD BAVNALL, Farm Hill, near Douglas Aug. 20, 1S33. INTERIM NOTICES.... | |
 | John Bonnycastle - 1835 - 308 pages
...FALLING BODIES. The motion described by bodies freely descending by their own gravity is, viz. — The velocities are as the times, and the spaces as the squares of the times. Therefore, if the times be as the numbers .... 1 2 3 4 &c. The velocities will be also as ... 1 2 3... | |
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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. FOR, since the force of gravity is uniform,... 
