VMCAM rJRIABILEAI INFOLFENTES. 53 



pofita hac p variabili differentiaii poterit. Erit aiitem 

 integralis quaefiti membrum ex flidlore (i-f-p.t)* oriun- 

 dum : 



j V 



Sin dcnominator Q^ fiidlorem habeat (i-1-/>a;)* tum fii- 

 matur V — -'■ "Ji^q^ ' ^ - '■, 'vbi primo in differentiatione 

 ipfiiis Q_~ i-i-a.v-f-p.v^-f-y.v^-h etc. ponatur .v va- 

 riabile et in fcquentibus diffcrentiationibus d x conflans • 

 tum fiat .V— — ^, Tt prodeat V fundio ipfius p dcin- 

 ceps diffcrcntianda pofito p variabili. Atque integralis 

 quacfiti pars cx fiidore (i-4-/>.v)' oriunda erie 



^^^ • p r pdx d . p r pdx V r_pdx 



Si dcnominator Q^ flidorem habeat (i-|-/>.v)* tiim (Iimi- 



tur V — '"' 'at ~^ — "—- et feruatis iisdem circa dif^rentia- 

 tiones legibus crit integralis portio ex denominatoris fac- 

 torc {i-{-pxy oriunda ~ 



A^ ^ ^^ y. ^ ^ 



a ■ p rpdx a . pp /- pdx a . ^j /• fxfx v rpd x 



i.z.^dp^'' '+P^^^ i.zdp- J i'-hp^)-^^ ,fip^(>+P«)'^^P*-' (!-+-/>*)♦ 



ficquc vlteriiis, quousque libuerit, progredi Jicebit. 



§.30. Generatim igitur , qnae hadcnus funt tradits 

 huc rcdeunt. Si propofita fit formula differcntialjs ratio- 

 iiahs 



A-hE.v-}- C£-}- D .v *-^E. v'-f- e_tc^ 



I -t- a.v-|-(3.?'-Hv.v'-|-^a-*-h £.v'4- ctc. '^* 



