320 B. Rosing on the Participation of Matter 



4-tt /2 \ 



-g- ( - + 1 JA + \ xx L +X yx M +\„ N= ~a, 



\« A + Xay B + \« C= - (v zx L + v yx M+»« N), 

 \ F A + \ F B+VO= - (^y L + y w M + v zy N), 

 \« A + X^ B + \ zz C = - (y xz L + */ yz M + v„ N) ; 



which on excluding L, M, N will be reduced to three 

 equations : 



A = k-ioc + fc 2 /3 + K z y 



B = Kl / ce + K2 '/3 + / C s 'ry 



C^'a + Kj'P + Kj'y 



where 



Ki=K 2 , K 1 // = K 3 , fC 2 /f = K/. 



These are, as we know, the fundamental equations for mag- 

 netization of a crystalline substance. The coefficients tc h k 2 , k b 

 . . . here may have both positive and negative values depending 

 upon the values e h e 2 , e 3 , \ xx , X nj , \ lJin . . . v XX) v xy , v yy , . . . for 

 the different axes of the crystal. 



Lastly, by introducing into the formula of energy values of 



2 

 L, M, N from the above equations, and by adding --^-H 2 , 



we get * ir 



W=A-BHcosBH. 



Thus we see that the results found by means of the hypothesis 

 of mechanical participation of matter in phenomena of mag- 

 netic induction answer well enough to the fundamental 

 requirements of the theory of magnetism. 



However, these suppositions are not sufficient to explain 

 all phenomena of magnetism, for instance the phenomena 

 which take place when iron and such metals are magnetized. 

 The phenomenon of magnetic remanescence forces us, on the 

 other hand, to suppose the existence of magnetic deformations 

 that take place at the magnetic motion of matter, and therefore 

 to accept a new type of coordinates wdrich would define 

 them. 



Actually, whatever the magnetic motion of matter, it is, of 



