 | Rev. John Allen - 1822 - عدد الصفحات: 516
...the arch, which a body, by revolving uniformly in a circle with a given centripetal force, describes in any time, is a mean proportional between the diameter of the circle, and the descent of the body performed in the same time by falling with the same given force. Scholium. The... | |
 | Jeremiah Day - 1824 - عدد الصفحات: 440
...rf."^~ * ' Rs=l=sin3 45°+cot3 45°=2 sin3 45° Therefore, Sin 4d° = v/^ = 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... | |
 | Peter Nicholson - 1825 - عدد الصفحات: 1046
...revolves uniformly in a circle, by means of a given centripetal force, the arch, which it describes in any time, is a mean proportional between the diameter of the circle and Ihe space which the body wonld descend through in the game time, and with the same given force. For... | |
 | John Martin Frederick Wright - 1825 - عدد الصفحات: 798
...centre. 6. 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 m the same time from rest if acted on by the same force. 7.... | |
 | John Martin Frederick Wright - 1827 - عدد الصفحات: 344
...6. 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 same force.... | |
 | John Martin F. Wright - 1827 - عدد الصفحات: 632
...centre. 6. 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 same force.... | |
 | Thomas Curtis (of Grove house sch, Islington) - عدد الصفحات: 438
...of the bodies from the centres instead of the radii. Cor. 9. 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... | |
 | Thomas Leybourn - 1830 - عدد الصفحات: 630
...i6-rr feet and y = PN. Then (prin. sect. 2. p. 4 cor. 9) the arc which a body describes in a circle in any time (/) is a mean proportional between the diameter of the circle and the space fallen thro' by a body in the same time and acted upon by the same force. .-. supposing (t} to... | |
 | John Martin Frederick Wright - 1831 - عدد الصفحات: 282
...vary as — , and also as -j^30. Prove that, if a body describe a circle uniformly, the arc described in any time is a mean proportional between the diameter of the circle, and the space which the body would fall through in the same time, if acted upon by the force which retains... | |
 | Jeremiah Day - 1831 - عدد الصفحات: 394
...R2=l=sin2 45°+cos2 45°=2sin2 45° Therefore, Sin .15° = v/i = -I-. . . \/2 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... | |
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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... 
