i6^ DE SVMMIS SERIER. NVMEROS 



vbi cum feries /i ^-/2 . . . . +/x conilet x termiais 

 quaelibet reliqiiarum partium {x-^DIx et x iii 

 ieriem totidem terminOrum conuertatur. Ac pofte- 

 rior quidem x totideftT* terminos vnitati aequales 

 praebet , prior vero {x-^l)lx fequeiiti modo euol- 

 vitur : \ 



1/2 7r=:/i 4-/2-1-/3 -+-I(x-i)-\-lx 



H- iH- 1 -1- I . .-. . -f- 1 -4-1 



-//iV/2t/3.... -{x-DKx-i^-ix-^^Dlx 

 4-I/1 +1 / 2 . . . . -\-[x-l)Kx-2)^x-^)I{x-i) 

 vnde coUigitur haec fefies iiuis concinna : 



|/2 7r-i-(|/|-i)-(|/|-i)-K/|~i)"(|/|-i)etc. 

 quae commodius liac forma exliibetur : 

 - i-l/27r— |/l-i^|/|-i-H-I/^-i+i/|-i etc. 



Terminus generalis huius feriei eft |/^^-i , qui 

 in hanc feriem euoluitur: 71^+7^ + 73^+7^+ etc. 

 ex quo per infinitas feries habebimus : 



x-^/27rz-^.-}--^4--:V6-h-^-^ etc. 



£' r 



4 — m — 4-1 — 4-1- etc. 



etc. 



etc. 



vt 



