from which would follow that a'b' = ah, which would be possible 

 only when we have really but one independent parameter. 



It follows, however, from the thesis of § 3 that if for (»?(? system 

 of solutions there is not to be found a corresponding one, there 

 does not exist one for any other system of solutions. 



Hence the given equation cannot be i-educed to a universal form. 



2. yz= a\v' + ab.v -f- 6" {n = 2 , m = 2) 



H r 



yo ^0 V'^'o/ yo -'^0 2/( 



.Vo = — o' ; .t-„ — 



a 



\v' X, b' 



-^z=l ; ab- =^1 : _ — - 1 



yo 2/( 



yo — -^ ; •'-■o = — ^^ • 



3. ^ = <^'^'^ H~ ''^' {n zzr. 2 , m = 1) 



.,.'"• 



a, yo^— «'^'o - + '^'o — 



yo \^oJ '^-o 



V ax J' f X \ .?;„ X 

 ?/o yo K^oJ 2/o'^'o 



1 2 



C. X, =:- ; t/o = - 



a a 



77""2 ' ^ = 2 



4'). pv=A -{- BT ^ CT' (» =rr 3, m = 3) 



cz. Po^o=Po\' ; ^ = ^' ; bi\ = b't: ; C2Y = C'tj\ 



B C 



As — is independent of — 7V, the two last comparisons are contra- 

 B C 



dictory, so that even if A = A' , we should not have corresponding 



states. 



Leiden, August 1914. 



1) This example fails in the Dutch text. 



