C R D A R V M. 301 



Pro quolibet ergo cafu affignato integrale completum 



vtriusque aequationis x iTn ~*- 2 ddy-\- ccydx~zzzo et dz+zzdx 



~\-ccx~- m ~~" t dxzzzo non difficulter colligetur. 



Cafus I (mzzz — i) 



ddy-\-ccydx~ zzz o et dz-\-zzdx-{-ccdxzzz'Q P 



erit integrale completum: 



7 r /A \ dy — ccof.{) — cx) 



yzzzkiia.^-cx) et &zp^ f zzz -j^r^Z 

 Cafus II (mzzz~t-i) 

 ArV^H-^ry^AT^o et ^+ss^v + ^r^zo^ 

 erit integrale completum: 



jr=fcrttf(M-=>2 et s=:£fc=:j-£cot (*M4) 



Cafus III («zb^ 

 * — * 



x~ddy*\-scydx~zzzo>\ et dz-\-zzdx*\-ccx 'dxzzo t 



erit integrale completum*. 

 ^=ife^(fin.(^~3^^j-/ c ^ ^cof.^-3^^)) 

 feu 7 — k(xkti. tf - 3 ***) - * f cof. (0-3 ***)) 

 Qfus IV (»=«+;£) 



a?ddy-\-ccydx~zzzo et rifo-r-ss^tf-W^.*; ^dxzzzo ^ 

 erit integrale completum: 



jr^t/(fiii.(*Hr,3fJ!; ^)H-/ c Aof. (0-4-3^""")) 

 Caius V (mzzz-\) 



x'ddy-\-ccdx'zzzo et rf/s-i-tfSdto-i-^a; % dxzzz\o y 

 erit integrale comptetum: 



jp = £#(( 1 - JJU tf~ f ) fin. (6-5 c^) -^*"W(*-5^)) 

 Pp 3 Caius 



