 | William Emerson - 1769 - 370 Seiten
...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 the... | |
 | William Emerson - 1769 - 170 Seiten
...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... | |
 | William Emerson - 1793 - 386 Seiten
...circle ; 12. the time of one vibration, is to the time of a body's falling perpendicularly through 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... | |
 | Colin Macfarquhar, George Gleig - 1797 - 434 Seiten
...arc of a circle, the time of one vibration is to the time of a body's falling perpendicularly through half the length, of the pendulum as the circumference of a circle is to its diameter. Let PE (fig. 5.) be the pendulum which defcribes the arch ANC in the time of one... | |
 | Charles Hutton - 1807 - 464 Seiten
...Pendulum vibrates in a Cycloid; the Time of one Vibration, is to the Time in -which a Body Jails through Half the Length of the Pendulum, as the Circumference of a Circle it to its Diameter. LET ABa be the cycloid ; DB its axis, or the diameter of the generating semicircle... | |
 | William Nicholson - 1809 - 684 Seiten
...the -times of their vibrations. 4. The time of one vibration is to the time of the descent, tbrongli half the length of the pendulum, as the circumference of a circle to its diameter. 5. Whence the length of a pendulum, vibrating seconds, will be found 39.2 inches nearly ;... | |
 | Charles Hutton - 1811 - 494 Seiten
...Pendulum vibrates in a Cycloid ; the Time of one Vibration, is to the Time in "which a Body foils through Half the Length of the Pendulum, as the Circumference of a Circle is to its Diamete-r. LET Ana be the cycloid ; DB its axis, or the diameter of the generating semicircle... | |
 | Isaac Dalby - 1813 - 538 Seiten
...case, the time of one vilratian, is to the time in which a body would descena perpendicularly through half the length of the pendulum, as the circumference of a circle, to its diameter. (Emerson'» Mechan.) Let CH or CP be the pendulum vibrating in the arc LHB, C the point of... | |
 | John Bonnycastle - 1813 - 444 Seiten
...vibration, in any arc of a cycloid, is to the time of a body falling perpendicularly through the axis cv, or half the length of the pendulum, as the circumference of a circle is to its diameter, or as 3,14159 to 1. So that if n- be put =3.14159, '= the length of the pendulum,... | |
 | James Smith - 1815 - 684 Seiten
...the times of their vibrations. 4. The time of one vibration is to the time of the descent, through half the length of the pendulum, as the circumference of a circle to its diameter. 5. Whence the length of a penduCicloidal vibration». — Lon; anci »bort %ibratioa*. lam... | |
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CIRCULAR arcs, is to the time down half the length of the pendulum, as the circumference of a circle to its diameter ; and therefore, within moderate limits, the time will be the tame, whether the arc of vibration be larger or smaller. 
