2o8 METHODVS INTEGRANDI 



m quarum utravis parte fumma exponentium continuo 

 ctefcit , fola fubftitutionc j^zzz"' ad eandem exponen- 

 tium fummam revocari poifunt *, & generatim , data 

 sequatio (^.r^^-f-^zV^' -h&c,y;f 



ad asqualem exponentium fummam reducitur fi fiat 



Praeterea licet huiusmodi fubftitutione qu?c omnium 

 facillima eft non obtineatur redudio quasfita ad aequalem 

 fummam exponcntium , non iilico exiftimandum eft re- 

 duftionem nuUam fuccedere , fieri cnim poteft ut natura 

 terminorum fubftitutiones magis complicatas poftulct, 

 fic V. gr. 



adx-^-bdy-^-cxdx-^-exdj-^^dx-^-gyily—o, 

 indiget his fubftitutionibus 



wt redigatur ad formam 



{cz-hfu^dz-^-iez-^-^uyuzia. 

 /Equatio 



dxdx '^ecxdz') 

 -A-bcz --{-^exz I 

 '-\-bz'^ -^c^z ^zro 



indigct fubftitutionc 



1/2 



-+-4->'- 



2 



ut rcdigattir ad formam 



axdx-^-bydx-^-exdy-^-ydyzno, 



Theo- 



