A History of the Theory of Elasticity And of the Strength of Materials, From Galilei to the Present Time

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I do not know what is the precise theory of Cauchy's to which Piola alludes.
781. The seventh section is entitled: Te(yrica dei fluidi: it occupies pages 136 — 171. This does not strictly concern us, but as it is of a very peculiar kind I will notice a few points.
782. Piola indicates at the outset that with respect to the motion of fluids he holds views which differ from those of other mathematicians. He says : Comincio dalla applicazione al moto de' fluidi e per questa memoria mi Hmito ad ess
...a, assicurando perb d' avere gijt in pronto altre formole spettanti al moto di altri corpi e principalmente quelle relative ai moti oscillator] e vibratorj che diversiflcano daJle trovate dai modemi Geo-* 432 PlOLA.
metri. La sola teorica del moto de' fluidi involge tante novit&, che io non amo moltiplicare le applicazioni prima di sentire il voto de* Greometri su di questa. Yedremo che la teorica finora ammessa pel moto de' fluidi h ben lontana dall' essere perfetta.
783. Piola is not satisfied with the definitions hitherto given of a fluid ; he criticises those of Lagrange, Laplace, and Poisson, and ofliers his own thus on page 138 : Io chi&merb Jluido quel corpo le cui molecole vidne si tengono in ogni movimento a tali reciproche distanze che non differiscano fra laro se non per qucmtith di second^ ordine.


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