1NTECRAUVM TER FACTQRES. 137 



«*y(P -f-s)(f>-f-g)(f> — q) acf j 1 m j. r- <■ 



^( 8 +wp + r)[p-r ) — 57i > q uod pluribus modis fien 

 poteft. Primum enim illud pluribus modis ad tres 

 factores poteft reduci , ponatur fcilicet f>-\-e~z p-\-r 

 et a-4^V— p-f-^J "vt habeatur q — a-^-y — ^>; 

 €t rrrp-h£— p; eritque : 



ay{zp~-a — y) acf 

 (3e(2p-p — e) #^£* 

 Quod fi ergo ftatuatur a~za\ $zzzb\ y~zc\ tzzze% 

 et zpzzza-\-c-\-fzzzb-\-e-\-g\ erit ^zr^-f-^— p * 

 et rzzzb-\-e—p. Sicque nulla alia reftrictio hic in- 

 voluitur , nifi vt fit a-\-c-\-Jzzzb-\-e-\-gzzz zp* 

 Pro hoc ergo cafu crit producti infiniti propofiti valor 



p—f?±£ Sx^- ^^ i-x) - ***** *-** Jx d - l dx(i-x) e ~* 

 b-\-e ' Jx^- a - c -'dx{i _#)<h-H-ch^> • p*-*d x ( 1 -x) c ~ ' 

 \bi iam tam litteras a et ^, quam b et e pro lubits 

 inter fe permutari licet. 



Alio modo ftatuatur yzzz p~\-r et s~zp — q $ 

 vt fic 



P(a-f-YX/>-»")"""**'g" 

 Iam fit azzza\ pzzzb\ zz~c — b\ yzzze—a\ erit 



qzzzp — c-\-b et r~ze—a—p\ hincque f~zzp—c-\-b 



et g~ip-e-\-a, Sin autem ponatur fumma tf-f^+/ 



rz b -\-e -\-g— s\ erit a-\-b\-zp~s, et ip~s-a-b\ 



ficque p-4-^-j — #— ^— /; p-qzzc-b\ p-\-r~e-a\ 



p—rz~s — b—e~zg\ et ^H-rzz^-}-^— #— *-. Atque 



hinc oritur: 



s-a-c /^-'-'dxii-xf-*-'-"- Sx 1> ~ 1 dx{i-xy- b -' t 



V~ 



e-a ' Jx c ~ b -'dx{i-x) b '+- e - a - c ' S^dxii-xy-"-* 

 Tom.VI>Nou.Com. S Vbi 



