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" Half the Length of the Pendulum, as the Circumference of a Circle is to its Diameter... "
A Course of Mathematics ...: Composed for the Use of the Royal Military ... - Σελίδα 171
των Charles Hutton - 1811
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The Practical Model Calculator: For the Engineer, Mechanic, Machinist ...

Oliver Byrne - 1851 - 310 σελίδες
...time of 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 very nearly the same...

A Text-book on Natural Philosophy for the Use of Schools and Colleges ...

John William Draper - 1853 - 434 σελίδες
...equal times; and the time of each oscillation is to the time in which a heavy body would fall ihrough 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 center of oscillation....

Elements of Natural Philosophy Designed for Academies and High Schools

Elias Loomis - 1858 - 374 σελίδες
...vibrate in a small circular arc, the time of one vibration is to the time of a body's falling freely down half the length of the pendulum, as the circumference of a circle is to its diameter; that is, representing the length of the pendulum by L, and the time of one vibration by T, we have...

The home tutor, a treasury of self-culture

Home tutor - 1862 - 532 σελίδες
...thereof in equal times ; and the time of each oseillation 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 cyeloidal and circular arcs is, that in the former...

The Practical Model Calculator, for the Engineer, Mechanic, Machinist ...

Oliver Byrne - 1863 - 600 σελίδες
...time of 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 very nearly the same...

A Treatise on the Steam-engine in Its Various Applications to Mines, Mills ...

John Bourne (C. E.) - 1868 - 602 σελίδες
...time of vibration in a short circular arc is proportioned to the time a body would fall by gravity through half the length of the pendulum, as the circumference of a circle is to its diameter. The number of vibrations made in a given time by pendulums of different lengths is inversely as the...

Former Clock & Watchmakers and Their Work: Including an Account of the ...

Frederick James Britten - 1894 - 416 σελίδες
...vibrates bears the same relation to the time in which a body would fall through a distance equal to half the length of the pendulum, as the circumference of a circle bears to its diameter. The mathematicians' simple pendulum, in which all the mass is supposed to be...

The Watch & Clock Makers' Handbook, Dictionary and Guide

Frederick James Britten - 1896 - 474 σελίδες
...vibrates bears the same relation to the time in which a body would fall through a distance equal to half the length of the pendulum, as the circumference of a circle bears to its diameter. Applying this to a pendulum 13 feet long : half its length is 6-5, and a body...




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