AUAE WONKCLLAE APPLICATIOBES ETC. 535 



Staiiivillii tlieoreti).! periuilc dcJuxit (1). 



4. Ao({ualione (I) rcsumpta, secundiun membrum scriba- 

 tur inverse ordine, facto r=inj erit. 



( /;-l-1 )(»-+-2) ■ ■ ■ (n-^- m) _ /^(/j— 1 ) . . . (j>—m^1 ) r''-^*"'-] 

 1.2.3.. .w — 1.2.3 ...m '^ ^ 



■*- ■ 1.2.3...(;«-1) -Ll^'^-^-l'-^J 



^ 1.2.3...(/«— 2) -L'^ •-+-•• •-^-H^J 



Exinde (si per 1 .2.3 in muliiplicctur , ac ponanlur 



p=—,n — p=— — 1, ex quibus n — p-i-m=- ^ - 



II i 



n-=. — : \ deducuntur) aequalitas sequens obtinebitur 



(x-Hj)(x-f-j-t-0 . • • {x-\-y.Jr-[m — 1)i)=ir(j: — i) . . . {x — {m — 1)/) 



m 

 -H - .x{x- 



m{m — 1 ) 



m 



— . x{x—i) . . . (ar— (TO— 2)/)X(/-»-(TO— 1 )/) 



1.2 



. x{x—A )... {x—irn—Z)i)X(y-^'m~-^]i)(jr^'yn~^'[]i) 



-4- O'H-0(r-»-20 . . . 0--t-;OT— 1)/) . 



Aliae complurcs aequationes ex formulis (1), (2) deduci pos- 

 sent, seu ex illis, quae ab his cniuntur. 



5. Sicuti cxtat 



[l (1 )^^T!'. 4I1 C^+O] = [1 (1)h [Zl (r+/-n+1) 



(2) Annales Gergonnii observentur iu volumine XV. pag. 1G9, ac seq. 



T. VII. 69. 



