6i S P E C I M E N 



H.iec ergo expreflio tranfit in -(a ) b)(b 9 c)-\-(b)(a 9 b,c)~-i y 

 quia cfl: denominator fecundus negatiue fumtus. Eodem. 

 autem modo numerator quartus aequabitur tertio ncga- 

 tiue fumto , et in genere quilibet fequens praecedenti 

 negatiue fumto. 



20. Hinc ergo confequimur fequentes redu&iones 

 non parum notatu dignas : 



(a 9 b)(b 9 c) ~(b){a 9 b 9 c)~-\-z 



(a 9 b, c)(b 9 c 9 d) —(b>c)(a 9 b 9 c, d)~z—i 

 (a 9 b 9 c 9 d(b 9 t 9 d 9 e)-(b 9 c 9 d)(a>b 9 c 9 d 9 *)= + * 

 et in genere 



(a 9 b 9 c 9 d m)(b 9 c 9 d 9 m 9 n)-(b 9 c 9 d m) 



(a 9 b 9 c,d m 9 «)rr-4- i 



vbi -f- 1 valet , fi in primis vinculis numerus indicum 

 fuerit par, contra vero — i. 



21. Ipfae ergo dirTerentiae fupra expofitae erunt: 



(o) (a,M ^i 



t (b) —i(6) 

 (a,b) (a,b,c) .+. r 



(b) ~~ ( b,c) — (b)(b,c) 



(a, b,c) (£ ,b,c , d) ^_ — T 



(b,c) (b,c,d (b,c)\b, c,d) 



(a, b,c,d) (a,b,c ,d ; e) i 



(b,c,d) (b,c,d,e) — ~~t- [b,c,d)(b,c,d,e) 



( a , b, c , d, e ) (a,b,c ,d,e ,f)_ i 



\b } c } d } e) (b } c,d,e } j) (b> c , d, e)(b } c, d, e,f) 



etc. 

 vnde,cum hae difFerentiae minores efle nequeant, ipfae 

 fractiones tam prope ad fe inuicem accedunt , quam 

 fieri poteft. 



&%, 



