ee DE FRJCTIONIBFS CONTINFIS OBSERF. 



fiao X' = r , frit ^ = ,^- = I -+- -t^ H_ ^+^^ 

 -4- etc. quae efl: demonltratio knimatis uati , ex qiia li- 

 mul intell gitur lemmatis veritatem nou confiftere nifi fit 



§. S9. Cum igitur valorem huius fradtionis continuae 

 r-^-fb 



r-\-{f-+-r){^-\-r) 



rH- (y-4--^) i^-^^r) 



r H- etc. 

 duplici modo liabeamus exprefllim , quorum alter efl ~ 



J^{f-r)f)'^'^'dy: V{i-fn-fi^-^)jy'^''''^y''^{'-v''') 



jJyS-^r^^dy : V (i-yO - hfy^^'-^dy : V (i-j-) 

 alter vero , qui in §. 5<J. efl: erutus rz r H- 

 M 



^21 : — L)t — :L-1 ^ — ^ operae pretium erit 



j>^-ij/(i-j'^p : (i+y) 

 harum expreflionum confenfum declararc. Cum igitur fit 



J—-l:=^- cvitfy-^ dj{i-yn'^ : (i+x) ^fy- 



i-4-y i-J^ ^_^_^^ 



^^ (i_.^.r^'^-//^-^-ij'(i-/o"^' ^^^"^ y>^-^"-' 



b-/-2r 



Ponatur "^^^^ ^ ^^ .Z./— = V , ent valor po- 



j/'^dy{i-rn '' 



ftcrior 



