HYPERGEOMETRICA. <$t 



vbi notetur fi forte numerus m non fit integer va- 

 lorem produdi (X-f-i)(X + 2) . . . . (\-\-m) per arti^- 

 ficia alibi expofita definiri poflfe. 



Corollarium i. 



Si loco numerorum Bernoultianorum numeros 

 iis cognatos , quibus ad poteftatum reciprocarum 

 fummas fum vfus , introducere velimus , hosque 

 numeros litteris A, B, C, D etc. defignemus , vt 

 fitA — l "R — -' C — -' D — - f • F — -' 



111 n. 5 , U 55 ) >- 9 + 1 J ■ L/ ' 94S0 7 *-> 93fjS 



quoniam hi numeri a prioribus ita pendent vt fit 



SC-^A; fS-^-B; € = ^— 7 C; etc: 



inter fe autem ita connecfluntur vt fit : 



5B = 2A 2 ; 7C — 4 ABj 9D--4AC+2BB; 



11E-4AD+4BCJ i3F = 4AE + 4BD+2CCetc 



Tum ex his numeris litterae P, Q. , R, S etc, ita 

 determinabuntur : 



r — 2 



iAm -s 3. 1. 1 B m 



— a r— 2 j 



RsAfrt/-^ 5. 4. s B m n , 5. 4. . . 1 C m 



t s 



— 7 A B p 7. g. s B m ^ , 7. 6 . . ? P ro n 7 ,g. . ,r~£m 



~* * lr 



— ~~ — J\ — jT \£ 



etc. 



H 3 Corol- 



