 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 48by Isaac Newton - 1803 - 231 pagesFull view - About this book
 | William Emerson - Centrifugal force - 1769 - 104 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 - 370 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 fpacf which the body would defcend thro' in the fame time, and with the fame given force. For 2R (diameter)... | |
 | William Emerson - Centrifugal force - 1793 - 386 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 - Encyclopedias and dictionaries - 1797 - 450 pages
...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 - 274 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 - 1819 - 788 pages
...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 - 388 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 - 778 pages
...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 - 430 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... | |
 | University of Cambridge - Mathematics - 1821 - 254 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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