I 2.6 



cof. /A vj/ H- ]/ -r- I fin. jx vj^ =: /;'^ , 

 cof. /x v|/ — )' I fin. ;x v]^ n: q;' , eiit 

 S -+- T / - I 1= A /;^ 4- B p" ^" -+- C p"^-^-" -^ ctc. z= ]\ 

 S - T / - I =r A (/-^ - B 9"' + " - C ^-^+^" - elc. :^ Q , 

 idcoque S =: ?^ cl T=^^, ubi P ct a per hypotlie- 

 fin ddnliir, iinnginmia vcro quovis cifa fponle fe dertiimnt. 



Mcthodo goncr.ili hic ndmiihrala frcquentcr ufus 

 fum in invcltigjndis l\innnis feriermn cx finibiis cofinihusve 

 aicuvun aiithinctice prof;icdic!itiuin IbmiaLarum; quarum fuin- 

 mationum prnccij)uas nunc colh'i;cic iuiifliinque c.\ponere 

 conftitui. Q.uanquain cnim Eulcnis ipfe mcthodum 1'tiain 

 ad varias huiusmodi foiics accomnioda\crat : lamcn Pu>blcma- 

 ta , (juorum fohilionem iiic tradcie aniinus tft, non fohiiu 

 varias contincl>unt fcrics a nemine adhuc, (juantum (luidcin 

 riihi conftat, fiimmalas, fcd etiam omnia, quac padim ciica 

 luiitisinndi fcrics a variis Auflnijbus funt inventn, fiib forina 

 ^eneraliori coinplefleiUur. Practcrca aiitem ipfa '1'hooiemd- 

 tis vcritas c\ ifta cafuum dctenninatormn traclationc pliis 

 firmnmcnti cdpi( t , qun eo mai!,is indigcic videtur, cjuod , 

 ima^innria fpontc fc dcftiucre in generc iion tam facile per- 

 fjiicilur, cuin adco , uhi dc fericbus dctriminatis ai;itur, 

 quomodo imd^inaiid e jnedio tollantiir, minime fil ob\ ium. 



Pioblcma •. 



$. 2. ]^t()]j()fitis hinis Jcritlnu inJuiiLis 

 A zz fir^. a -+- fl Cm. (a-»-4i) -*- a' fin. ( a -f- 2 (J) ) -+- elc. 

 V) — cof. a-i- a cof. ( « -t- CP) -+- a' cof. ( a -4- 2 CP) -»- clc. 

 HtriuS'ine fummam invcjligaic. 



So- 



