| Charles Hutton - 1831 - 662 pagina’s
...ultimately, the time of com* plete oscillation through DPB, is, t=^^~ ..... (1). O i Consequently, the times of oscillation are as the square roots of the lengths of the pendulums, the force of gravity remain* ing the same. 204. For the same reason that we have the above... | |
| George Macintosh Maclean - 1859 - 140 pagina’s
...the force of torsion of a thread remains the same under the different weights which stretch it. 4. The times of oscillation are as the square roots of the lengths of the threads. The time of oscillation increasing with the length of the thread, the force of torsion evidently... | |
| Benjamin Silliman - 1859 - 746 pagina’s
...in any proposed time ; and 2dly, the time of oscillation of a pendulum of any proposed length. For the times of oscillation are as the square roots of the lengths, or, what is the same thing, the lengths are as the squares of the times. Hence, L : I : : T » : »... | |
| Benjamin Silliman - 1861 - 780 pagina’s
...in any proposed time ; and, 2dly, the time of oscillation of a pendulum of any proposed length. For the times of oscillation are as the square roots of the lengths, or, what is the same thing, the lengths are as the squares of the times. 44 Or mathematically, hy suhstituting... | |
| Edward Albert Bowser - 1884 - 550 pagina’s
...is constant ; Tx — = if I is constant; g cc I if jPis constant, Vff that is (1) For the same place the times of oscillation are as the square roots of the lengths of the pendulums. (2) For the same pendulum the times of oscillation are inversely as the square roots of... | |
| |