From the same demonstration it likewise follows that the arc which a body, uniformly revolving in a circle by means of a given centripetal force, describes in any time is a mean proportional between the diameter of the circle and the space which the same... The Mathematical Principles of Natural Philosophy - Page 66by Sir Isaac Newton, John Machin - 1729Full view - About this book
| William Emerson - Centrifugal force - 1769 - 81 pages
...if a body revolves uniformly in a circle, by means of a given centripetal force ; the arch which it **defcribes in any time, is a mean proportional between...the diameter of the circle, and the fpace which the** bod}' would defcend thro' in the fame time, and with the fame given force. For 2R (diameter) : ^/zRs... | |
| William Emerson - Mathematics - 1769
...if a body revolves uniformly in a circle, by means of a given centripetal force; the arch which it **defcribes in any time, is a mean proportional between the diameter of the circle, and the** fpacf which the body would defcend thro' in the fame time, and with the fame given force. For 2R (diameter)... | |
| William Emerson, William Bowe - Centrifugal force - 1793 - 302 pages
...if a body revolves uniformly in a circle, by means of a given centripetal force ; the arch -which it **defcribes in any time, is a mean proportional between...the diameter of the circle, and the fpace -which the** body would defcend through in the fame time, and -with the fame given force. For 2R (diameter) : \/zRs... | |
| Colin Macfarquhar, George Gleig - Reference - 1797
...inileaj of tlic radii. COR. 9. Frern the fame dcmonilration it likewife follows, that the arc whith **a body uniformly revolving in a circle by means of...centripetal force defcribes in any time, is a mean** propoitional between the diameter of the circle, and the fpace which the fame tody, f.Jling by the... | |
| Samuel Vince - Calculus - 1812 - 256 pages
...constant central force, will be increased in the same ratio of 1 : a8 ; therefore the arc described **in any time is a mean proportional between the diameter of the circle and the** distance fallen through in the same timc5 by the constant action of the centripetal force. Now the... | |
| John Mason Good, Olinthus Gilbert Gregory - 1819
...iu»te <d "f the radii. COR. 9. From the *ame demonstration it likewise follows, that the arc wh.ih **a body uniformly revolving in a circle by means of a given centripetal force** describes in any time, is a mean proportional between the diameter of the circle, and the space which... | |
| Jeremiah Day - Measurement - 1815 - 96 pages
...equal to half radius. For the cosine of 60° is the sine of 30°. (Art. 89.) 97. The chord of any arc **is a mean proportional, between the diameter of the circle, and the** versed sine of the arc. Let ADB (Fig. 6.) be an arc, of which AB is the chord, BF the sine, and AF... | |
| Encyclopedias and dictionaries - 1816
...tht bodies from the centres inftead of the radii. COR.. 9. From the fame demonftration it liktwife **follows, that the arc which a body, uniformly revolving...mean proportional between the diameter of the circle** anj the fpace which the fame body, falling by the fame given force, would defcend through in the fame... | |
| Thomas Leybourn - Mathematics - 1819
...The arc of a circle which a body, acted upon by a centripetal force, uniformly describes in any given **time is a mean proportional between the diameter of the circle, and the** space described by a heavy body from rest in the same time when urged by the force in the circumference... | |
| Mathematics - 1821 - 425 pages
...The arc of a circle which a body, acted upon by a centripetal force, uniformly describes in any given **time is a mean proportional between the diameter of the circle, and the** space described by a heavy body from rest in the same time when urged by the force in the circumference... | |
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