4<J DE SERIERVM 



jrz I -4- afin. 2 TT x 4- 5I( cof. 2 tt;»;- I ) -t- 



-}- g fin . 4 t: a: H- 9>( cof. 4- TT Ji" - 1 ) ■ 



-{-y iin.^ i: X -{- (£(cof 6 tt.v- i )■ 

 etc. 

 Qiiicnnqiie ergo VAlores loco a , §, y, (5", etc . 51, 33, ^, ©/ ^^^' 

 lubtlitiKintur , femper prodibit formula , tjuac teimmum 

 generakm lcrici ^iu^uuun., v^jvhibct. (^ E. I. 



CoroU. r. 



§. 13. Si tcrminus primus , cui omncs reliqui , ha- 

 bcntes cxponcntcs intcgros , funt aequalcs , non dcbcat efle 



vnirae . (pM qivintif.is quacCUnque , terminiia generfllie feriei 

 j , (eu terminus , qui indici x refpondet , rcpcritur : 



jz^a-^-cLCm.^-nx-^-^fm.^ixx-^-yCm.C-nx-^-SWn.^^nx 



-f 5icof 2 7r.V-f35cof4.7i.lH ^Cof 67T.V-f ^ COf 8 7T.V 



eritquc tciminus quilibct indicem Iiabcns numcrum in- 



Coroll. 2. 



§ 14. Qiiia fmus ct cofinus arcinim ^tt.v, (Jtt*, 

 STrA" etc. pcr potcrtatcs ipforum fin. 27T.V cof 2 7rj»:ex- 

 primi poffunt ; ;uc]uc vicifiim omncs fundioncs i;ition;ilcs , 

 feu qu;ic anibiguas fignific.itioncs non h;ibcut , pcr hu- 

 iusmodi fcrics, qu-.ilcm pro j inucnimus , cxhibcri pofliint : 

 tciTninum gcncraicm y ita dcfinirc potcrimus , vt dicamus , 

 j cfTc funftioncm quamcunquc ipforum fin. sttx ct cof. 

 2 TT .V : dummodo non occurrant huiu^modi formulac 

 "V^i-]-- cof 2 7rA.'), aliacquc fimilcs , quac involnunt 

 finus vcl cofinus angulorum fubmultiplorum ipfius ^tta'. 



Coroll. 



