 | 1835 - 826 Seiten
...the greatest accuracy by comparing the motion of a body with that of a pendulum, »fk falling through half the length of the pendulum as the circumference of a circle is to its diameter. The length of a pendulum can be ascertained with great precision, and it can be... | |
 | Walter Rogers Johnson - 1836 - 516 Seiten
...may be ascertained by computation. 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, let the time of vibration be 1 second, then the length of the pendulum... | |
 | William Emerson - 1836 - 498 Seiten
...IN A CYCLOID, 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. Let ADo be the cycloid, FD its axis, FGD the generating circle. Let the body descend... | |
 | 1838 - 1014 Seiten
...of a falling body with that of a pendulum. The time of a vibration is to the time of falling through half the length of the pendulum as the circumference of a circle is to its diameter. The length of a pendulum can be ascertained with great precision, and it can be... | |
 | John M. Moffat, Walter Rogers Johnson - 1842 - 498 Seiten
...may be ascertained by computation. 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? .let the time of vibration be 1 second, then the length of the... | |
 | Encyclopaedia - 1845 - 902 Seiten
...an indefinitely small arc of a circle, is to the time in which a body would fall freely through hilf the length of the pendulum, as the circumference of a circle to its diameter ; and since an indefinitely small arc of a cycloid, at its vertex, coincides with a circular arc, whose radius... | |
 | Andrew Searle Hart - 1847 - 156 Seiten
...greatly diminished ; but the time of each oscillation thus accurately found, is to the time of falling down half the length of the pendulum, as the circumference of a circle to its diameter, that is to say, in a known ratio, and therefore the time of falling down this height is also... | |
 | Artizan club (London, England) - 1847 - 338 Seiten
...performing one vibration is to the time occupied by a heavy body in falling perpendicularly through half the length of the pendulum as the circumference of a circle is to its diameter. All vibrations of the same pendulum made in very small circular arcs are made in... | |
 | John William Draper - 1847 - 414 Seiten
...equal times; and the time of each oscillation is to the time in which a heavy body would fall through half the length of the pendulum as the circumference of a circle is to its diameter. The difference, therefore, between oscillation in cyDescribe the nature of the... | |
 | Denison Olmsted - 1850 - 624 Seiten
...down DB ; hence, (Art. 177,) the time of one vibration will be to the time of a body's falling freely down half the length of the pendulum, as the circumference of a circle to its diameter. 180. Since (Art. 179) the time of a vibration is to the time down the axis in the same given... | |
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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. 
