460 Aloysii Casinelli 



_5.4.3.2.1m...(m— 4) 6.9.4.3/7i...(m— 5) 7.6.5W (m—6) 



'" 2.i.4.5 "2X475" "^'2.3.4 ~2. 3.4.5.6 TT 2.3.4.5.6.7 



H.7m (m— 7) 9 TO (m— 8) m (w— 9) 



"^T 2.3.4.'5.6.7.8 2.3.4.5.6.7.8.9 2.3. 4. 5.G.7. 8.9.10 



Lex coeflicientinm qui affecli sunt indice pari, nonnihil dif- 

 ferl a lege coeiricicnlium qui affecli sum indice dispari. Series 

 jgitur cujusciiniqne poleiuiac trinomii i-hjr-^x" duos termi- 

 110s generales habebit, quorum unus terQiinoruni in qaibus x 

 exponentem habel parem , alter terminorum in quibus expo- 

 jiens variabilis .r est numerus impar. Iiaquc si sit A^n x'" ter- 

 minus generalis potenliarum pariuni, aique A,n-i-i "t-"""*"^ ler- 

 minus generalis potentiarum imparium quantitalis x, erit 



„(„_1) ....2.1 ("1—1) ■ • . (m—ri+1) 

 A.2a := • "' ' 



4- 



2.3.4 . . . n 2.3.4 ... /J 



(7!-t-1)« . . . .4.3 (rn— 1) . . . (m—n) 



2.3.4 .. .(rt—1) 2.3.4 ... («-}-1) 



(n-4-2)(«-Hl) 6.5 (m— 1) . . . (m—n—1) 



2.3.4 . . . (n— 2) '" 2.3.4 . . . («4-2) 



(„4.3X"-|-2)....8.7 (m— 1) . . . (m—n— 2) 

 , m — 



^ 2.3.4 . . . {rt—i) 2.3.4 . . . (//4-3) 



-\- eic. 



{In—I ) w (m— 1). . . (m— 2 »+2) 



"^ 2T3.4. . . (^2/1—1) 



,„( ,„— 1) . . . (m— 27i-f-1) 



"^ 2.3.4 . . . %i 



(„4-1) ... 3.2 (m— 1) . . . (in—n) 



A2n-i-i=: f"—^ ■ 



2.3.4 . . .« 2.3.4 . . .(«+1) 



(«4-2) . . ■ 5.4 (m— 1) . . . (m— «-1) 



^ 2.3.4...(«— 1) 2.3.4 . . . (7j-f-2) 



(rt^_3) ... 7.6 (m— 1) . . . (m—n— 2) 



-4— — . m-— — • — ■ -- *i 



2.3.4. ..(/I— 2) 2.3.4 . . . (n-l-3) 



(„-f.4) ... 9.8 (m— 1) . . . (m—n — i) 



-I- . m i^ 



2.3.4...(h— 3) 2.3.4 . . . («+4) 



-f- etc. 



m(m-1)...(m-2r,-M) 



-+-i n r ■ 



2.3.4 . . . 2« 



