(62) 



A. *I 4 7 10 A . I 

 • Ja 3 • 3 • 3 *-* • 3 • 



etc. etc. 



Hinc autem facile intelligitur quomodo inuedigationcm tra- 

 (Hiari oporteat, fi loco n aliae fradiones proponantur. 



Conclufio. 



§. 31. Quemadmodum hic pro ferie 



a^ a (^a-h ^), a{a-\- b) {a-^2. b)^a {a-^b) (a-k-2 b) (a-h^b)^ etc. 



terminum indici indefinito n refpondentem A : « ita expreflum 

 inuenimus, vt fit: 



- a fot-h- b^" a-^b fa-\-i A" 

 A m — a.'' . . ( etc. 



a -h n b \ ci / a-i-(n-i-i)b\a-hb/ 



fi loco a alium quemcunque numerum c accipiamus , vt 

 feries fit 



f,(;(c-h ^), c (c -h b) (c-h 2 ^), c (c -h b) (c -h 2 b) (c -h ti b) etc. 

 ct eius terminum indici « refpondentem defignemus per F : «, 

 tum erit fimili modo 



„ c /ci-h by c->-b /a-h 2 bY ^ 

 r :n —a'' . etc. 



c -h n b \ a / c-h(n-hi)u\a-hU/ 

 vbi quidem a alium quemcunque valorem fignificarc poffet 

 atque in prima. Quodfi nunc pofieriorem feriem per priorem 

 diuidamus, nafcetur inde fequens feries : 



£. of.o -h b ) n (a -H- & ) (g H- 2 b ) a {0 -h 6)(a-4-i 5 ) (g -f-3 h) pf_ 

 e'c(c-(-6)'cic-(-fc)(i:-(-2b)'eic-i-fc)(cH-26)ic-H36) 



atque manifeftum efl: terminum indici « refpondentem fore ^i- i 

 vndc fi vtrinque pro a eundem accipiamus numerum, poteftares 

 exponentis n omncs fe muruo tollent, ita vt pro hac ferie termi- 

 nus generalis, feu indici n refpondens, fit 



° "^ -t- " fe) {a -h h) [c -h [n -h- i) b] la -h 2 b) [c -h {n ~h n)^] gj_ 



1« -I- )i J") C * [«-t-(n-(- ijfcj (C -+■"*) ' lo-h\n-hi] bj [t-hii>) 



vbi 



