FJCTORIBVS ORTIS. p 



quo cafii perinde eft, vbi multiplicatio abmmpatiir,blni fadlio- 

 res coniimdim fuat accipiendi , quo fado binae obtinebuntur 

 aequationes, prout numerus fadorum capiatur par fiue impar. 

 Primo autem accurate euoluta expreflionegeneraliobtinebitur: 



^^^li^^k) etc. Sumendis autem alteris terminonim pari- 

 K,,. pHr ^^^t^l^I^ — L^teK^5rhrfe).(_j/-j-TgU.fe-f-4^) 



Ifelltii- rai^Jf!- ^^^- "^ ^"ib"^ exprefllonibus 

 loca , Ybi operationem abrumpere licet , punc^is funt di- 

 flinda. 



§. II. Confideremus autem attentius cafiim , quo 

 eft ^ =: ^ q"ippe -quo expreffio infinita tanquam ex 

 fimplicibus favfloribus conftans concipi poteft ; eritquo 



fy^-'dy:V {i-j^ ) _ ^h(,f^s)hh^^-g)i2f ^^.g)(2h-^,g) ^,^^^ ^^^^^rr^ 

 jf^/'-i^.y^i__^2j— 2/(2/:4-ii)(^/-4-2£:)(2fc-h3g)(2jH-+g) ^"^^ ^xprellia, 



quo minuscumpraecedenteobeaflem litteras confiindatur, po- 

 namus liic 2/—« et ibzzb atque j/z::/, quo fubftitutoprodibit 



P ~'^^''^ ( ^'"•^"'^) _ 5ra-4-f )(&-f-.^ycr-+-.gl(5-4-4Pf)rg-+-,-g) 



Jx^''dx: y ( I _a''-^j~«(^-+-^HG-H^S)(&H-:g)(a-H4£)(c-4-5g)- ^'■^- 4"^^ eX- 



preffio cum priori . § .9 .data,quae fado pariterjra:*, tranfit in hanc 



jfg/^fx^ dx\ __(3/-^-g)( ./-u^)r./H-,g)(./H-Tg)(. /-4-5£)( ./^5g) ^. ^ • 



Tr.VV^I-a^^SW — 2/(2/-h-g)(2/-+-2g)(2H-+g)(2/H-+g)(V-H?g) ^^^* 



comparata , infigne<^ manifeftabit proprietates, quarum ve^ 

 ritas alias vix oikndi poterit. 



§.12. Statim enim patet fi ponatur az=:.zf-^et hz=:± 



f-\-g , illam expreffionem infinitam in hanc transmutari ; 



quamobrem etiam expreffiones illis aequales , quadraturas 



Tom. :XZ. B cur- 



