History of Scientific Ideas volume 1

Cover History of Scientific Ideas volume 1
History of Scientific Ideas volume 1
William Whewell
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In like manner the still wider principle, that a collection of bodies, as, for instance, a flexible chain hanging upon one or more supports, has a center of gravity; and that this point will descend to the lowest possible situation, as a single body would do, has been adopted at various periods in the history of mechanics ; and especially at conjunctures when mathematical philosophers have had new and dif- ficult problems to contend with. For in almost every instance it has only been by repeate...d struggles that philosophers have reduced the solution of such prob- lems to a clear dependence upon the most simple axioms.
ii. Stevinuss Proof for Oblique Forces. We have an example of this mode of dealing with problems, in Stevinus's mode of reasoning concerning the Inclined Plane ; which, as we have stated in the History of Me- chanics, was the first correct published solution of that problem. Stevinus supposes a loop of chain, or a loop of string loaded with a series of equal balls at equal distances, to hang over the Inclined Plane; and his reasoning proceeds upon this assumption, That such a loop so hanging will find a certain position in which it will rest: for otherwise, says he 5, its motion must go on for ever, which is absurd.


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