§. i2. Soperfkmm foret eandem deductiorem pro lit- 

 teris fequentibas apponere, quandoquidem jam fatis perfpi- 

 cuum eft fore: 



* = (i) k H m (~f!) *■ S) $0 + (!) ("-?) + etc. 

 t ~ (*i) (f) + (i) (»-=*) + (1) (»--?) -f (f) C~l) h- etc. 

 « = (i) Q) h- (i) p?) * (1) £a£) + 0) (% -4- etc. 

 etc. etc. 



atque in genere fi poteftati x n + x tiibuamus litteram z, erit 



* = (!) CfO - (r) [Sf - (1) (^ - Q) (§) - etc. 



§.. 13. Manifeftum hic eft omnes terminos harum fe- 

 rierum contineri in hac forma generali: f-^)(_zp2), quam ob- 

 fervo femper huic efse aequalem; (J^)(*rz£y f ita ut litterae 



ol et |3 permutationem patiantur. Cum enim facta evo- 

 lutione fit: 



n , n(n — il (n — Q) (n — 3) . . . . • (n — a -+- 1) 



a 1.2.3 



•) 



_*. n — x ( n — i- (<i — iql — i'fn — a — 2' • . • • ["- — ^ — P ■-*- il 1 



Cl 2* ■ 1 '. . . 3 • + *^ r 



facta mul ! iplicatione erit 



(JL) ( n — a ) "<" — I 1 (n. — 2) (n — 3 ) ... . (n — a. *— ce-f-T ) 



^a/ * . |3 ' 1 . '2 3 . . O.I.2V3 . ..p 



ubi permutabilitas litlerarum a et j3 in oculos incurrit. 



§• 14. Quodfi jam feries ante invenlae hoc modo iffi- 

 mutentur^ prima quidem pro p inventa nullam mutationein 

 patitur, reliquae vero fequenti "modo referentur : 



9 = (!) C^l) ± (1) (^) -+- (|j fl=i) + (I) (!=♦) + etcj 

 r = g) ("=?) + (=) ("-=?) + Q) pg§ + (=( (=3) -f- etc. 



* = (p (i=3) + (f ) ("-=«) +- (f) ("-^) + (I) (i^) * etc. " 



* = (t) ("-^) -Kdh' ("%-) + <xK> ("4V± «tc. 



