,4i 



Const.it autem pro nostiis terminis integrationis, ab X — O iis- 



d„ , r xdx , 4. /* xxdx tt , 



xn:i, esse / —=z^:= :==: l et / -^_^_-— r::: - , unde 



coUigitiir A := ■* , id quod cum ipso producto Jf'allisiano, 

 que — =z ^ . ^^ . -^ . etc. egregie convenit. 

 Casiis 2, quo c=z-}~hb. 

 §, 29. Evolvamiis nunc qiioque alteriim casum cr:H-L6, 

 pro quo fractio continua hanc foiniani induit : 



aa ~\- 4.bb 



2A^2/. 



4/ — 2 a +• 9 aa. -h 4 bb 



4/ — 2 a -f- : j oa -f- 4 &6 



4/— 2a H-49aa -f-466 



At vero productum continuiim, ex praecedente forma, loco 

 b scribcndo 6/ — l, ita imaginarie expressum se prodit: 



._,/•_ 7 /_ N (f+bV-i)(f- h2a-bV-^) ( /-t-2 ^fev--i)C/-t-4a- &v-') ^ 

 x\-{J uy '■J-^_^a-hbV-i)U-i-a-bV-i) ' if-i-ia-hbV-,){f-h3a-bV-i) 



Eviiens autem est in eadem expressione §. 26, allata 

 etiam loco h sctibi potuisse — 6]/ — 1, unde prodiisset: 



\_(f 1 / _ \ (f-bV 0( /- 4- 20-^-61^-0 ( f-l-2a-bV --,){/+ 4'' -^bV^,) %._ 

 -^ — [J~*-^V ^J(^j^a-bV—iXJ-^''-l-bV—i)' {f-hia — bV-i)(f-hi(i-hb\'-t)'.' 



Productum igitur harum duarum expressionum fit reale , 

 erit enim 



A^-ffF^hh'\ ( ff+bb )af+2ay + bb) ((/4-£a) = -|-MK(/4-4a)2+J6) . 

 -^•^ ""^ ((/-t-a)-^66)((/-Ha)^-l-66) • a/+-jaJ--+-6è)(Cy-H^a)- + 6i)* 



quae expressio congruit cum superiore, §. 2 5. inventa. 



§. 3o. At vero etiam expressio per formulas intégra- 

 les cvadit imaginaria. Si enim in formulis §. 27. loco h 

 scribatur hy — i, orietur sequens expressio: 



Mtmoirci de l' Acad. T. /^. 



6 



