 | Jeremiah Day - 1831 - 418 דפים
...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... | |
 | 1836 - 488 דפים
...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 - 1838 - 416 דפים
...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... | |
 | Jeremiah Day - 1839 - 434 דפים
...^. For V2 R2=l=sin2 45°+cos2 45=2sin2 45° Therefore, Sin 45°=Vi=— ,. 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 - 1848 - 354 דפים
...For V2 R*=1=sin" 45°+cos' 45=2 sin' 45° 1 Therefore, Sin 45°=Vi= — . V2 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, be an arc, of which AB is the chord, BF the sine, and AF the versed... | |
 | Harvey Goodwin - 1849 - 588 דפים
...a body moving uniformly in a circle under the action of a given central force describes in a given time, is a mean proportional between the diameter of the circle and the space through which the body would fall under the action of the same force and in the same time. [For, let... | |
 | Isaac Newton, George Leigh Cooke - 1850 - 176 דפים
...9. The arc, which a body, uniformly revolving in a circle with a given centripetal force, describes in any time, is a mean proportional between the diameter...given force, would describe in the same given time. Let PA be an arc described Fig. 31. in any time, PB the space fallen through in the same time by the... | |
 | Seba Smith - 1850 - 214 דפים
...square root of the diameter of the circle multiplied by the diameter of the segment ; or the chord is a mean proportional between the diameter of the circle and the diameter of the segment. AC, the diameter of the second circle, is 2. Therefore the chord IK cuts segments... | |
 | Oliver Byrne - 1851 - 310 דפים
...a circle by means of a given centripetal force, the portion of the circumference which it describes in any time is a mean proportional between the diameter of the circle and the space which the body would descend perpendicularly in the same time, and with the same given force continued uniformly.... | |
 | John Bourne - 1851 - 346 דפים
...a circle by means of a given centripetal force, the portion of the circumference which it describes in any time is a mean proportional between the diameter of the circle and the space which the body would descend perpendicularly in the same time, and with the same given force continued uniformly.... | |
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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... 
