•v-// Q n{n — 3) ^" — '^ ' 



V/// Y) n[n — 4Hn — 5) ^n>—S' 



1. 2- 3 * ' 



VIV __ jg __ n{n — ?Mn — 6] (n — 7 ) ^n — 8 " 

 " 1.2 3. 4 * ^ 



etc. etc. 



quibus fubftitutis feries quae/ita erit 



pn _ (^^). _ . ( 2^)n-2 _^ Mn_^) (2 _^). 



71(71 41 (n J) / \Tl — 6 



1.2.3 



(2 j)'' ~" ^ H- etc. 



Corollarium. 



J. ^. duod fi binomium q — y — V (X X — ^)^ ^^ 

 poteftatem r^ eleuatum^, in talem feriem^ fecundum potefta- 

 tes n, n — 2, n — 4, etc. ipfius / progredientem , conuer- 

 tere velimus, id facillime praeftabitur, fi notetur effe 



q = i = ^ , 



ideoque q^~p~''. Tantum igitur opus eft in ferie fupe- 

 riore exponentem n negatiue capere, quo fa^o fiet 



^._ I ^n I _^n{n^3) i 



-f- 4) (^ H- 5) ]^ 



I. 2. 3 {^yf 



^ n{n-^^){n-^ j) i ^ ^^^^ 



Problema 2. 

 5. 7. Exifiente p = J -+- /(/ J— i) et )/ {yy—i^ — v, 

 exprejjionem J~ hi feriem conuertere fecundum poteftates 



M i^ ?z — 3, n — 5, etc. ipfius y progredientem. 



Dd 2 SO. 



