DE FRJCTIONIBVS CONTINnS OBSERV. 6^ 

 Comparetur ergo haec fradio continua cum ifla generali j 



af?dx , ^ (q-f-o t)c 



JPRdx ^~T- 6^g^ . -f^aa)(c-t -7) 



6-t-2g- K...-4- a)(cH-3-y ) 

 6-H g-f- ^t^ 



eritque ^iirr; ^iro; a— r, y — r ; ^rr/- f ; rrrZ». 

 His valoribus fubftitutis orietur f - rW|:> )KVR-r/-.r )iR 



(/-2r)dR , rdR-H(^-/-4-'-)RdR ^^ .,^ • , , f. 



= -^ 1 Rk^Io • ^^^^^ integrando /S = 



^^ /R-t-^;^/(R H- i)H-^lii^ /(R-i) + /C feu Sz^Ck^^'' 



*r/ /-H(n- i)r 



{R*-i) ^'•(R-J). Hinc itaque erit R"-*-'Sz:iR ^"~" 

 (R'-i) ^"(R-i), atque Vdx—Q R ^ (R ^--i)-VR, 



r(R-+-0 """ 



§.55. Cum autem R"-^'S duobus cafibus euanefcere 

 debeat pofito tam x—o quam Ami; idque quicunque 

 numerus affirmatiuus loco n iubftituatur ; ad negatiuos enim 

 valores ipfius n refpicere non eft opus. Ponamus \ero 

 /, ^, et r efle numeros affirmatiuos atque b > /, quod 

 tuto aflumere licet nifi fit J zz:b, deinde fit etiamy >r. 

 His pofitis manifefl:um eft formulam R"-*"'S duobus cafi- 

 bus euanefcere fcilicet fi R zz o et R — i : hocque etiam 

 locum habet fi fit Jz:zb. Dummodo ergo fit />r poni 



poterit Kz=zx. eritque Vdxzzix'' (1 -x*) "Vjc determi^ 

 nata conftante C. Ex his itaque valor fraaionis continuae 



f-2r h-f 



propofitue erit zzz {f-r)fx "" ( i -^^) -r^^ 



Poflta 



