A History of MechanicsCourier Corporation, 7 лист. 2012 р. - 688 стор. "A remarkable work which will remain a document of the first rank for the historian of mechanics." — Louis de Broglie |
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... . . . . . 2. The Statics of Archimedes . CHAPTER II. -~ ALEXANDRIAN SOURCES AND ARABIC MANUSCBIPTS . . 1. The “ mechanics ” of Hero of Alexandria . . . . . . . . . . 2. Pappus' theories of the inclined plane and of the centre of gravity ...
... Archimedes was able to conquer statics and knew how to construct a rational science in which the precise deductions of mathematical analysis played a part. But hellenic dynamics is now seen to be quite erroneous. It was however, in ...
... Archimedes (287 -212 B.C.) made of statics an autonomous theoretical science, based on postulates of experimental origin and afterwards supported by mathematically rigourous demonstrations, at least in appearance. Here we shall follow ...
... Archimedes in an earlier manuscript, of which no trace remains.) 6) The centres of gravity of unequal but similar figures are similarily placed. 7) If magnitudes suspended at certain distances are in equilibrium, equivalent magnitudes ...
... Archimedes later extended to the case of n magnitudes. The enunciation is suitably modified if n is even.) Proposition VI. —— Commensurable magnitudes are in equilibrium when they are reciprocally proportional to the distances at which ...