41 METH. INTEG. FORM. DIFFERENT. RJTION. 



dcnominator h;\bcat quotciinquc f-nflorcs fimplices imagin-.i- 

 rios , eorum Icko potcrimus udhibcrc fac^loics trinomialcs 

 I-}- p.v -{- ^.v.v rcalcs ; hocqnc modo rclolucmiis dcno- 

 minatorcm in faclores mcros ix^alcs. Scilicct tot fimpl;- 

 ccs quot habcbit rcalcs , ac pro imaginariis fadiorcs tii- 

 nomialcs realcs introduccmus. Qiiarc cum iam (iftcndcri- 

 mns , qnomodo cx fuiguiis fiKftoribus fimplicibus paitcs 

 intcgralis rcCpondcntes inncniri oportcat ; fiipcrcll \t mu- 

 dum tradamus inucnicndi intcgralis partcs cx facloribus tri- 

 nomialibib criundas. Sit igitur f-idor dcnominatorib tri- 

 nomialis i -j-p-V -H (y.v.v , at(juc f()rmnla diircrciuialis 

 propofita in has dnas partc-) dilccrpi concipiatur : 



q\ </x -h O V dx 5( '/ V H- 533 .v^.v- ^g.vV v-l-cct. 



i-hpx -r- ^ v.v "^i -I- O.v -I- b.v"' -H Cv' -} - ctc. 



9J^.v i- Ov*/.v 



Atquc cx partc — \ — ■ : nafcitur intcaralc 



' ^ I H- /).v -}- i/xx ^ 



erit enim ob duos fi(florcs fimpliccs iinaginarios in i -{-• 

 p.v-l-^.v.v contcntos ^q^pp. Qiiodfi nutcm hibini 

 flitftorcs cfTcnt rcalcs, ct ^q<^pp., tum intcgialc fc)rmulac 



5nr/.vH-Dv(/.v rr 1 -i • , 



^ a tolis logarithmis pcndcrct forctciuc 



I -i- p.v-H^.v.v ^ • ' 



^'H ^^..^.rr^ t^^-SXpjl^p--^{pp-^) 



Vq /('-^^^ -^^^•^ -^ H^ipp-¥l) ^-^qx-^p-^-rlpp-^) 



§ 37 Valorcs antcm cocflicicntium ^ ct D cx 

 hii acquationibus dcfinicntur : 



A = 



