| Royal Society (Great Britain) - Science - 1722 - 722 pages
...of the leaft Vibrations of a Pundulum, to be to the Time of the Fall of a Body, from the Height of Half the Length of the Pendulum, as the Circumference of a Circle to its Diameter : YVhence, ts a Corollary, it follows, That as the Square of the Diameter to the Square... | |
| Jacques Rohault - Physics - 1723 - 358 pages
...nearly equal to each other ; and have very nearly the fame Ratio to the Time of the perpendicular Fall through half the Length of the Pendulum ; as the Circumference of a Circle has to its Diameter. Coroll. i. Hence alfo appears a Method of determining the Space through which... | |
| Thomas Simpson - Electronic books - 1740 - 164 pages
...barelypb*\ which is to the Time, wherein a Body freely descending from Reft,, would fall thro' CB, Half the Length of the Pendulum, as the Circumference of a Circle, to its Diameter. CORO LV MOREOVER, when only -1 is = o, or the Refiftance uniform, the Vibrations will,... | |
| John Rowning - Astronomy - 1744 - 470 pages
...Cycloid, will be to the Time a Body takes up in falling perpendicularly through a Space equal to IK, (half the Length of the Pendulum ;) as the Circumference of a Circle to IB Diameter, and: confwjuently it will always be the fame They : • . • <. . which a Body falling... | |
| John Keill - 1745 - 352 pages
...performed in a Cycloid, is to the Time of the perpendicular Fall through the Axis of that Cycloid, that is, through half the Length of the Pendulum, as the Circumference of a Circle to its Diameter. And it hence follows, that the Time of any the fmalleft Ofcillation is to the Time... | |
| Benjamin Martin - Science - 1747 - 398 pages
...Squares of the Times of their Vibrations. (5.) The Time of one Vibration -is to the Time of Defcent through half the Length of the Pendulum, as the Circumference of a Circle to its Diameter. (6.) Whence the Length of a Pendulum vibrating Seconds will be found 39 Inches nearly... | |
| Royal Society (Great Britain) - Science - 1749 - 674 pages
...of the leaft Vibrations of a Pendulum, to be to riae Time of the Fall of a Body, from the Height of Half the Length of the Pendulum, as the Circumference of a Circle to its Diameter : whence, as a Corollary^ it follows, That as the Square of the Diameter to the Square... | |
| William Emerson - Electronic books - 1758 - 410 pages
...vibrates in a cycloid ; the time of one vibration, is 55. to the time of a bodfs falling perpendicularly through half the length of the pendulum ; as the circumference of a circle to the diameter. Let ADa be the cycloid, FD its axis, FGD the generating circle. Let the body defcend... | |
| William Emerson - Centrifugal force - 1769 - 170 pages
...cir- I2> fie i the time of one vibration, is to the time of a tody's falling perpendicularly thro' half the length of the pendulum ; as the circumference of a circle^ to the diameter. If a pendulum fufpended by a thread, &c. be made to vibrate in any curve ; it is the... | |
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