66 S P E C I M E N 



29 Si haec inJicum feries in fine duobus trun« 

 cetur , orietur fimili modo : 



(a . . . x)(a . . . z)-(a . . . z)(a . . *) = o 

 (a . ..x(b . ..z)-(a...z)(b . .x)zzz-{-(z) 

 (a . . .x)(c . . . z)-(a . . .z)(c . . x) zz ± (a)(z) 

 (a . . . x)(d. . .z)-(a .. . z)(d . . x)zzz'-h[a,b,)(z) 

 (a ...x)(e. ..z)-(a . . . *)(* . .*).= + (a 9 b 9 C)(z) 

 atque hinc tandem colligitur fore gcneraliter ; 



[a /, w, » . . . .p) (n p,q,r z) 



-(a . . ,I 9 m,n p, q, r z) (n p) 



-±(« l)(r... .z). 



30. Quo ratio ambiguitatis fignorum pateat, no- 

 tandum eft, fi fit mzza, fore (a . . . .l)zzi t et fi fit 

 q zz z % fore (r . . . . z)zzi t vnde cafus fpeciales , iti 

 quibus ratio fignorum eft cognita, erunt 



(*)(*)- (a,b) i=-i 

 (a)(b,c)-(a t b t c)izzz-(c) 

 (a,b)(c)-(a,b t c)izzz-(a) 

 (a,b)<b t c 3 d)-(a,b,c,d)(b)zz7.-h(d) 



(a)(b t c,d)-(a t b 3 c,d)(i)zzz-(c 3 d) 



vnde conchiditur , valorem fore affirmatiuum , C\ in 

 extremo quaternorum \inculorum numerus indicum fit 

 impar , fin autem fuerit par, valor erit negatiuus. Ita 

 in exemplis iubiundtis erit 



(a t b,c 3 d '>(e,fg,b)-{a,b,c,d,e t f^b) 1 =-(a t b,c)[f,g,b) 

 (a 3 b,c,d,e) [c,d 3 e,f,g 3 b)-(a,b, c,d,e 3 fg 3 b)(c t d, e) 



=-*-W («**}- 

 31. Hu- 



