532 Petri Callegari 



( n^^^ ) (w-t-2) . ■ ■ (fit^n—i ) _(/»— ;;-h1)(w— ,ph-2)...(/w— y5-)-w— 1) 



1.2.3 («— 1) "~ 1.2.3 («— TT 



P_ (fft— ;>-t-2) (m— /?H-3) . . . (m—p-^-n — 1) 



■^1 • 1 .2.3 («_2) 



/'(P — 1 ) (wi— /'-t-3) . . . (m—p-i-n — 1 ) 



1.2 1.2.3 («— 3) 



(w.-t-1)(wH-2). . . {m—p-\-n — 1) 

 "■ 1 .2.3 (ii—p—'\) 



Si iu hac aeqiialione primo scribalur « -h 1 loco n, atqne fiat 

 p=:m, protlibit 



(^m-^-^)(m-^-2)...(m-^-n) 1.2.3 n m 2.3.4 n 



1.2.3 n ~r7z re... n'^T ' 1 .2.3...(«— 1) 



to(to— 1) 3.4.5 n (to-+-1)(/«-h2) n 



"* 1.2 '1.2.3.. («— 2)"^ ■■■"^1.2.3 (w— w) 



Supposilo ?i> in , ullinius terminus potest ita scribi 

 1 . 2 . 3 . . . . m n(«— 1) . . ■ (w-h1) . . . (»— (wt— 1)) 

 1 . 2 . 3 . . . . w ■1.2.3... (/?_w)(7i— (7/j— 1 )) . . . TO ' 

 et ideo 



(/«_^_1)(to-h2) ... (w-4-n) /« n m(m — 1) n{n — 1) 



^^^ 1.2.3 n -"^'^^- T~^ 1.2 -T^ ^ 



m(m—\ ) . . . 1 «(«— 1 )(/?— 2) . . . («— (m— 1 )) 

 ''"l .2.3 . ...m ■ 1.2.3 m ' 



Haec formula demonslrata fuit a Geometris Lentheric (1) , ac 

 Valles (2) . Hujus demonstratio uii elegantissima a Bellavitis 

 habetur (3). 



17. Hie addendum est, quod si ponatur n>m, tunc for- 

 mula (F) iuverso ordine scribenda erit. Ideo posito /^-t-l lo- 

 co 71 habebimus 



(1) Annales de Matliomatiques vol. XVI. pa i^. 120. 



(2) Idem volumcn Aiinaliuni Gergonnii inspicc . 



(3) Observetur diarium inscriptum — Annali delle Scienze del Re- 

 gno Lombardo Veneto . Gennajo e Febbrajo 1 834. pag. 1 1 . 



