36 



Art. 7. — K. TerazaAva ; 



Fie. 5. 



j:-''Ul.-)ma)Mk = -l^f-^^^ dd, 



fe-'^ih-Wla^ldk = -j^j 



1 r'^ a—r cos, 6 



(B'+zT' 



dd 



(82) 



B being detined by (.GU). Of course we may find their values by 

 differentiation of tlie integrals already found with respect to z, but, 

 owing to the complexity of the elliptic functions, it will l:)e seen 

 that the direct method of integration is much easier. By the 

 same transformation of variables as before, we liave 





—^ du — — üj,, 

 4 J e,-lf(«.) 4 



and by the aid of the formula 



|S=(?0 — 6) (61—^^(61 — 63) 



the integral can be found to Ije 



J{E'+z-f'- 2a>-l 2(^1- e,.) (6,-63) ' 



