KINETIC OR MECHANICAL VIEW OF NATURE. 41 



France by Navier and Poisson. One of the greatest 

 analysts of the century, Augustin Cauchy, had like- 

 wise applied himself to it ; and when Fresnel, in the 

 year 1826, brought out his great memoir on double 

 refraction in crystals, in which he was obliged to enter 

 more closely into the properties of the luminiferous ether 

 and its relation to ponderable matter, Cauchy was induced 

 to devote himself more specially to the mathematical 

 problems which presented themselves. Before his time 

 the theory of elasticity had been studied more as con- 

 nected with questions of practical engineering, such as 

 the strength of materials, the stability of buildings, the 

 construction of machines, or with the properties of musical 

 and sounding bodies. A new interest was created by 

 Fresnel's researches. 1 The question arose, How are we 

 to describe the vibrations of an imponderable substance, 

 endowed with mass (density) and rigidity, and what con- 

 ceptions can we form of the change of these vibrations 

 if there is present likewise ponderable matter ? Evi- 

 dently upon the clearness and correctness of these 

 notions depends the explanation of the phenomena observ- 

 able when rays of light fall upon the surfaces of trans- 

 parent or opaque bodies. We have to ask : In what 

 terms (viz., of different kinds of motion) can we define 

 and describe, and accordingly calculate the phenonema 

 of reflexion, refraction, scattering (i.e., dispersion), and 

 absorption (i.e., extinction) of light ? A tolerably clear 



1 See Verdet in ' (Euvres de 

 Fresuel,' vol. i. p. Ixxx : " Lea 

 seuls dcrits anteYieurs a Fresnel 

 oti Ton trouve des notions justes 

 sur lea indgalite's d'elasticite qui 

 peuvent exister dans les corps et 



sur leur repartition re"gulire par 

 rapport a certains axes ou plans de 

 syme'trie sont ceux du grand mind- 

 ralogiste allemand Samuel Christian 

 Weis " (' Me"m. de 1'Acad. de Berlin,' 

 1815). 



