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... to any curve, whatever were the law of its description. From its application to an ellipse, it resulted that the law of force, tending to its focus, was inversely as the square of the distance : and it easily followed, by a converse process, that...
An Elementary Treatise on Astronomy. ... - Page xix
by Robert Woodhouse - 1818 - 487 pages

School of engineering. Examination for diploma

Dublin city, univ - 1857 - 692 pages
...will lose per day. 16. Find the time in which a body will descend through half its distance (a) from the centre of force ; the force varying inversely as the square of the distance. 1 7 . Mark off on a plane inclined at 30° a space equal to that through which a body...

A Textbook on Dynamics

M Ray | GC Sharma - 2005 - 340 pages
...—] \ f r+HI 2gh=2r*g I — — J which gives the answer. Ex. 26. Show that the time of descent to the centre of force, the force varying inversely as the square of the distance from the centre, through the first half of its initial distance is to that through the...