DlFFERENTIJlIBrS SECFNDI GIAD. 175 



qiii fi aliunJe cognofci potiiiiTet , integratio (ine \lla 

 diiFKuit.ice perfidta fuiflet. ' 



CoroU. 2. 



15. Viciffim ergo fi aequatio integralis inuenta 



Ti-4-1 



fumto elemento dx conftante difFerentietur , quo pado 

 condans C ex calculo egreditur , difFercntiale erit diui- 

 fibile per hanc formukm ^r^ -h ^^^=*^^— , feu hanc 

 xjdx-h^i -{-xx)dj, et diuifione inftituta ipfa dtmum 

 aequatio differentio - difFerentialis propofita prouenier. 



Coroll. 2' 



16. Si aequatio propofita per — ^— multipli- 

 cetur , \t habeatur 



n 



^aiddj-^j^^^^^-^^-r^x^i-i-xxy^o 

 mukiplicator eam reddens integnibilem erit : 



Qiiare fi ponatur jV^i -{-xx)zz: z , hrec obtinebitur 

 aequatio : 



Z* ~ z5 T z* Z' 



quae per dz multiplicata iategrationcm admittic. Erit 

 grale : 

 1.-^-5^^ ^"-l^ - -^z^^' dx^ — C dx\ 



Coroll. 



enim integrale : 



a d z* (. -f- X X)* ^^ al^ 



