 | Isaac Newton - Curves, Plane - 1900 - 320 pages
...moving with uniform velocity ina circle under the action of a given centripetal force, describes in any time, is a mean proportional between the diameter of the circle, and the space through which the body would fall from rest under the action of the same force and in the same time.... | |
 | Metal-work - 1901 - 548 pages
...the circumference is, therefore, 4/15' — 12*, or 4/8T, or 9 inches. Then, the chord of half the arc is a mean proportional between the diameter of the circle and the 9 inches, the height of the segment. Hence, the diameter is equal to -„-, or 25 in. Ans. (2) By Art.... | |
 | Michael R. Matthews, Colin F. Gauld, Arthur Stinner - Science - 2005 - 574 pages
...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 of the circle, and the space which the same body falling by the same given force would describe in the same given time.6 According... | |
 | University of Cambridge - Universities and colleges - 1814 - 340 pages
...arc of a circle which a body, acted ujjflft by a centripetal force, uniformly describes in anygiven time is a mean proportional between the diameter of...the force in the circumference continued uniform. 9. Given the radii of the surfaces of a double convex lens and the ratio of the sines of incidence... | |
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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... 
