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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... "
Solutions of the Cambridge Problems, from 1800 to 1820 - Page 695
by John Martin Frederick Wright - 1836
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The Practical Model Calculator, for the Engineer, Mechanic, Machinist ...

Oliver Byrne - Engineering - 1863 - 600 pages
...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...
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The Practical Examinator on Steam and the Steam Engine: with Instructive ...

William Templeton - 1865 - 178 pages
...by means of a given centripetal force, the portion of the circumference wfiich 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...
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Principia: First Book. sections I, II, III

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. For, let AL...
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A Textbook on Sheet-metal Pattern Drafting, Volume 1

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....
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The Pendulum: Scientific, Historical, Philosophical and Educational Perspectives

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...
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The Cambridge University Calendar

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 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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