 | William Emerson - 1769 - 370 σελίδες
...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... | |
 | William Emerson - 1793 - 386 σελίδες
...arch of a 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 σελίδες
...fmall 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 vibration ; let PN be... | |
 | Charles Hutton - 1807 - 464 σελίδες
...tangent CF is parallel to the chord AD. PROPOSITION xxx. 148. When a 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.... | |
 | William Nicholson - 1809 - 684 σελίδες
...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 - 1812 - 624 σελίδες
...chord AD. PROPOSITION xxx. 148. When a Pendulum vibrates in a Cycloid ; the Time of one Vibration, ia to the Time in -which a Body falls through Half the...axis, or the diameter of the generating semicircle DKB ; CB=*2DB the length of the pendulum, or radius of curvature at B. Let the ball descend from F,... | |
 | John Bonnycastle - 1813 - 444 σελίδες
...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, and g= space fallen... | |
 | Isaac Dalby - 1813 - 538 σελίδες
...that 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... | |
 | Charles Hutton - 1815 - 686 σελίδες
...time in which a heavy body will fall freely, by the force of gravity, through a space equal to |-лс, half the length of the pendulum, as the circumference of a circle is to its diameter. So that, if g = 1бт'г feet denote the space a heavy body falls in the first second of time, p =... | |
 | James Smith - 1815 - 684 σελίδες
...roots of 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*.... | |
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Half the Length of the Pendulum, as the Circumference of a Circle is to its Diameter... 
