 | John Martin Frederick Wright - Mathematics - 1825 - 798 pages
...fixed 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. The... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...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 - 1827 - 344 pages
...fixed 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 7. The... | |
 | John Martin F. Wright - 1827 - 632 pages
...fixed 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. 7. The... | |
 | Thomas Curtis (of Grove house sch, Islington) - 438 pages
...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 body, falling by the same given force, would descend through in the same given time.... | |
 | Thomas Leybourn - Mathematics - 1830 - 630 pages
...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 be the... | |
 | Jeremiah Day - Measurement - 1831 - 394 pages
...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... | |
 | Jeremiah Day - Logarithms - 1831 - 418 pages
...v/2 R3 = l=sina 45°+cosa 45°=2sin* 45° Therefore, Sin 45° = v/£ = -i-. 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... | |
 | Mathematics - 1836 - 488 pages
...are, in any circle, each equal to the radius, and therefore equal to each other. The chord of any arch is a mean proportional between the diameter of the circle, and the versed sine of the arc. The product of radius into the versed sine of the supplement of twice a given... | |
 | Jeremiah Day - Geometry - 1838 - 416 pages
...For V2 R»=l=sin2 45°+cosa 45=2sina 45° Therefore, Sin 45°= Vf — JL 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... | |
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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... 
