) 4 ( ^.<' 



portet, vt inde valor ipfuis x non fiat irrationalis. Hoc 

 autcm pratftabitur , poncndo a -^- b x — z z y vt lint 

 S — zet X — ^^-p"— , hincqiic dx — jZ(iz\ quibiis valo- 



ribus fubflitutis tota formula differentialis Xr/.v, >ui ra- 

 tionalcm, nouam variabilcm z complcdcns , pcrducitur. 



Exemplum i. 



§. =. Si fuerit ^)' = ^.-^-*3_^, fcu dy-\'', po- 

 fito y(a -H Z> A-j — z, fiet dy ~ ~d z, et inrcgrando j^z:^, 

 vnde fadla fublfitutione colligitur ^ — -*- V (a -f-^A-)-4- C. 



Exeinpliim r. 



§. 3. Si fuerit dy — dxV{a-\-bx)— sdx, 

 fumto y(fl-i-^.t) — 2 erit dy~zdx — ^zzdz^ vnde 

 intcgrando fit j — p^s', ct facfla fubftitutionc prodit 



^ =: 3-^ (^ -+- A :r)^V C. 



Quod intcgrale fi dcbcat cuancfccre fado .v n: o , fict 

 Czr-'-fp, idcoquc 



^[a -\- b xY — 2. aV a 



y — , 



3 b 



Excmpliim 5. 



§. 4. Si fucrit dyz=i- ' ^* ^ , facfla fubrtitutionc 

 y (fl -i- Z» jr) =: s , crit 



rf^- 



6 6 b b > 



vndc 



