( 39 ) 



or 



19 f o< . vi « . 0/ JL n * 2(y + . ; Q(l-y)(l-3y), -1 

 l_2.i-= — 2{<p-lr.v)(l-yy + 2(<p + .v{l-y)t ^ -J •(!-*) , 



when for a: (1 — x) the value from /J is substituted. Further redaction 

 yields : 



2(y + a ,)(l_y)» + 2(<p + *)(l-y)*jl -Y-^l]^ 1 -^' 



*)(i-y)r n o y — * 1 



i - 



or 



9 2(2+ 



(1 



2(y + *)(l -y) (l-y)-3*(l-*) 



1 — 2« = . . ■ . \<t) 



(l— zy i—Zz 



From (a) and (,*) follows, as (1— 2a;)* = 1 — 4» (1— se) : 



(l-y)(l_3y) 4(<p+*)U-y)' [(WHMl-*] 



1 + 4 (</> + «)■ 



(1_^)(1_3«) (I-*/ (l-3«)' 



l. e. 

 1= W<lr|[ ( ,-. v) j ( ,-. ï) -3,,l-,,j-,,- 3 ,K 1 -,)-,l-3,)]. 



Arrangement according to the powers of c yields for [ ] : 

 (3y'-y«) -6* (y + y') + 3*' (1 + ^ + 2.y a ) + «'(-8-12y) + 6*«, 

 or 



y'(3-y) - 6y* (1+y) + 3*'(1 + 5y + 2y') - 4; s (2 + 3y) + 6*\ 

 which may be reduced to 



(y_*)'(6*'-8* + 3-y), 

 so that we find : 



= 4(y+*)'(l-y)(y-*)'(6*»-8 g +3-y) 



(l-^a-a») 1 



from which may be solved : 



(1— zY(l— SzV 



(w + .v)* m = — — — , . . -. (2) 



through which <p -f x is expressed in the two parameters y and ;. 

 In consequence of this Q3) passes into 



(l-s)»(l-3*)(l-3y) 

 .< m ) 4(y _ 8) . (6jB ._ 8r + 3 _ y) U 



from which ,c„, may be calculated with given values of y and z 

 Then <p m is also known through (2), i.e. expressed in y and z. 

 Further we now find for RT m according to (la): 



