JLGORITHMI SINGFLARIS. 6j 



31. Huinsmodi autem formulae , quot lubucrit, 

 facile fequenti modo exhiberi potTunt ; fumatur tertium 

 vinculum, quod eft completum, et omnes indices con- 

 tinet , abfcindantur ab initio fuperne ii indices , qui 

 primum vincubm conftituant , tum inferne a fine ii, 

 qui vinculum fecundum conftituant ; ita tamen, vt in 

 duobus primis vinculis omnes indices occurrant. Tum 

 qui locis abfciflis vtrinque funt vicini puncto notentur, 

 indcque facile huiusmodi formulae exhibentur: 



vt \ a% b, f, d) e, f A dabit 



vt \a } b, c) \d % e, /, ( dat 



vt W, b, c } |^,l e, /*( dat 



32. Quodfi ergo in duobus vinculis nulla littera 

 bis occurrat , quartum vinculum erit vnitas , vnde fe« 

 quentes formulae nafcuryur : 



^(a,bc)~(a z b)(c)-h (a) 

 t(a,b,c)—(a)(b,c)^(c) 

 \ (a> b,c,d)—(a,b,c) d)-+-(a,b) 

 -J (a,b,c d) = (a,b)(cj) + (a)(d) 

 lia,b, c< d) '±l (a)(b, c, d) -+- (c, d) 

 f (*, b,c,d,e) — (a,b,c,d)(e)-\-(aXc) 

 J [a, b,cJ,e)zz(a,b,c)(d,e)^(a,b)(e) 

 "1 {a\ b,c t d,e)zz.(a,b)(c,d,e)^(a)(d,e) 

 l (* } b } c % d } e)zz(a)(b } c } d } e)-) r [ftd l c) 



I 2 (a,b } e, 



