= (37) == 



niagis complicatam , cuiii? omnibus tcrminis ad communcm 

 dcnominatorcm rcdudis, qui crit (/jr)'"^', fi pcr rcguhim \ul- 

 gnrcm illius fnnftionis valorcm cafu a" ~ i cxplonirc vellcmus, 

 tum t:im numcrator quam denominator v -f- i vicibus diffcrcn- 

 tiiiri dcbcrcnt, antequam cius vcrus valor dcfiniri poffct, qucm 



tamcn nunc ccrte nouimus lorc - — - — ^ L.±. 



I. 2. 3 . ... (y ^- I ) 



. . .■•y 



Excmplum VI, quo \j-~ z ox. v — v. 



Hic crgo crit 

 M = (;/ -+-/)) (ji-^p — i) — «(«— i)-H(-;/ — i)p-h-pp 

 ideoque 



-^' M rz: "^''—^) r _^ (2n—i)f^ ^ ^ f + ^ 



p 1.2.3...^' 1. 2. 3 . ..(v-+- l ) l. 2.3 ...(v-+-2) 



tum igitur, fi vt ante fuerit 



P ^ PP ' , ' ' r"' \ 



(ixy \jx 



uy (jx/~' i.2{ixy-^ i.2...{v-ijix, 



cafu X ^ 1 erit 



'ddR\ ;/(;/ — i)p' (2;/ — i )/)^-^' p^-+-' 



/ddK\ _«(«- 

 \dlc')~ 1. 2. 



:. 2.3 ..(v-f-i) 1.2.3 ..(^^-t-^) 

 quam vcritatcm more confucto cuolucre ncmo certe fiisccpcrit. 

 Atque cx his iam fiicilc apparet , quomodo has conclufiones 



pro maioribus valoribus indicis p. formari oportcat. 



•Y 



Problenia IV. 



Si V fucrit funclio quaccunque binarum variabilium .v 

 ct p, et omnes operationes in Theoremate quarto indicatae 

 abfoluantur, tum vcro flatuatur x ~ i , cxhibere aequalitatcm 



ad quam hoc Theorcma perducit. 



K 3 , So- 



