 | Edmond Halley, Royal Society (Great Britain) - 1705 - عدد الصفحات: 390
...of the leaft Vibrations of a Pendulum, to be to the Time of the Fall of a Body, from the hcighth of half the length of the Pendulum^ as the Circumference of a Circle to its Diameter j whence, as a Corollary, it follows, th.3t as the Square of the Diameter to the Square... | |
 | Royal Society (Great Britain) - 1722 - عدد الصفحات: 722
...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 - 1723 - عدد الصفحات: 358
...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 - 1740 - عدد الصفحات: 164
...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 - 1744 - عدد الصفحات: 470
...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 - عدد الصفحات: 352
...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 - 1747 - عدد الصفحات: 398
...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) - 1749 - عدد الصفحات: 674
...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 - 1758 - عدد الصفحات: 410
...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 - 1769 - عدد الصفحات: 370
...a fir' u. cle ; 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 diamettr. . If a pendulum fufpended by a thread, &c. be made to vibrate in any curve ; it is... | |
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For since the time of vibration is to the time of descent through half the length of the pendulum, as the circumference of a circle to its diameter, that is, as 3.14159 to 1? 
