I4.0 DE SVMMIS SERIER. NVMEROS 



Cuius ergo fumma quocies x eft numerus integet 

 exiiiberi poteft. Ita obtinebimus : 



l^ _ i,^ ^ irr^ _ LiiiylD ^ etc — 4- A Tt^ - I 



-4(14-5) 



-9(1 + ^4-0 

 .^ - l:.-^ + '-^c ^ '-:^ H- etc. zn i6Aii^-l 



-15(1 + ^ + 1-4- y. 



II. Inueftigemus iam easdem feries methodo 

 fupra expofita , et cum ibi inueniifemus : 



multiplicemus. per e^^^ydy ^ et integratione ita in- 

 ftituta Yt integralia euanefcant pofito j — o , ftatua- 

 mus j/ zz: CV3, ficque adipifcimur : 



fe^^y^dyzii—e^yy^—^e^^y—^. le-^y-^-i.^.-!. a 



fe-yy^dyzzL-e-^iy^-^-^y'^ 4. 37^ + 4. 3- ^.y 



+ 4.3.2. i.)+ 1.2.3.4==: 1.2.3.4 



fimilique modo 



y^-0'y^— 1.2.3.4. 5.5 ; fe-yy*dy=:i. 2,.,. 8. 



Hinc itaque perueniemus ad hanc fummationem 



i.2Aa-i....4Ba''i-i ^Ca^-etc.ry^"^^^. Ta^r^^ — — 



Pona- 



