 | Isaac Newton - 1729 - عدد الصفحات: 444
...which a body, uniformly revolving in a circle by means of a given centripetal force, defcribes in any time, is a mean proportional between the diameter of the circle, and the fpace which the fame body falling by the fame given force would defcend thro' in the .fame given time.... | |
 | William Emerson - 1769 - عدد الصفحات: 104
...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)... | |
 | William Emerson - 1769 - عدد الصفحات: 370
...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 - 1793 - عدد الصفحات: 386
...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... | |
 | Samuel Vince - 1812 - عدد الصفحات: 298
...constant central force, will be increased in the same ratio of 1 : a2 ; 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 time, by the constant action of the centripetal force. Now the... | |
 | John Mason Good - 1819 - عدد الصفحات: 788
...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 the same body, lulling by the same gi .'en fo ce, would desceud thiou^h in the same given ti... | |
 | Jeremiah Day - 1815 - عدد الصفحات: 388
...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... | |
 | Thomas Leybourn - 1819 - عدد الصفحات: 430
...- a')' 7. 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 continued... | |
 | Thomas Leybourn - 1819 - عدد الصفحات: 430
...- 7, The аг-c of a> circle which. a body, acted u-ponby, a centripetal force, uniformly describes in any given time is a mean proportional between the diameter of the circle, andi the «pace described by a heavy body from rest in the same time when urged by the force in the... | |
 | 1821 - عدد الصفحات: 464
...of ~—, 7. 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 continued... | |
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If a body be acted on by a given force and revolve in a circle, the arc described .in any given time is a mean proportional between the diameter of the circle and the space through which a body would descend in the same time from rest if acted on by the... 
