482 DR G. PLARR ON THE DETERMINATION OF 



Curiously enough, the scalars 



S.i-f' £ and S.((frH)ylr% 



give the same result, at factors " pres" which cannot generally be annulled ; 

 this happens owing to the fact that 



y 



but we shall establish this relation further on. 



Let us treat first the case 



We have, by § III. 



hence 



= (-/+* 



\ v w 



<fj> = — Vi0 - x i = —\jk(j> ~ H 



=—Uy\-tei)', 



and as 

 we deduce 



'\M V/ V W u ' 



^=x Q (p-H-x l( pi , 



-4<f-?K(2-$)] 



+^[-^1+^0] 



+ ^k?7i-^o]- 

 If now we consider the expressions of W v W 2 , W 3 , we get 



w a = s v/a v^y,/, - y = as^ - ^ , 



__ . . W 3 = SVijV</>k</> - l A = yjx - yfa . 



In is gives 



S^i = xA —± + —2+ — 3 ) . 



