£S METII. I\TEG. FORM. D1FFERE\'T. RATION. 



abfoliu dcbcat , fi dcnomiiutor qiiotciinque habc:it ficlo- 

 rcs riinpliccs acqualcs. Qii.ic lcx vt tacilius pcrCpiciatiir 

 rcpctamus brcuitur , quac hiolcnus Ilint tnidita. Sitquc 

 propolita hacc tbrmula 



A-4-B.T-)-Cj'-f-r)3:' -4- Ka *-4- <" r. , 



cuius intcgralc rcquiritur in cuius numeratorc .v pauciorcs 

 habc.it dimcnfioncs qiiam in dcnominatorc •, titque dcno- 

 min.itoris f-icflor aliquis i-i-/).v. Qiiod fi iam hic tador 

 j -\-p.v alium non liabcat tiii acqualcm , cx iplb intcgra- 

 lis quacfiti pars rcpcrictur / ,:^ , iii quo coctticicns ^ 

 ita dctcrminabitur. Diuidatur primo dcnominator i-^-a.v 

 -i-p v^-f-y.v^-i- ctc. pcr i-\-p.x fitquc quotus — i 

 fl -v -i- 5 v' -H C -v^-f- etc . Tum ponatur 



A-;>B-4-^C-;,tD-4- ctc. 



=:V 



critquc ^ rr p . ^ , at^juc intcgralc cx f-icflorc i-\~px 

 ortum crit 



hocquc mcKlo cx fingulis dcnominatoris f-idoribns fimph- 

 cibui rcfpondcntcs intcgralis partcs cniantur , quac fimul 

 fumtac totuin intcgialc quacfitum piacbcbunt. 



§. ^4.. Qiiod fi autcm dcnominator duos fidorcs fim- 

 pliccs h.ibcat acqualcs , fcu (i-f-pA*)' fi(flor fucrit dcno- 

 minatoris , tum cx hoc fnfloic quadrato intcgralis pars 



inucniri dcbct , quac ciit huiusmcxli / -^7— .j^ji— ; in (]iia 



coclficicntcj ^ ct ;Q hoc modo rcpcricntur. Diiiidatur 



dcno- 



