09 



I TI III IV 



a , a , a , a , a , etc. 

 0,0, 0,0,0, de. 



I II III IV 



c , c , c , c , c , etc. 



sunt recLurentes, scala relationis uninsciijiisquc existante 



2, -f- 2, — 1 : eae nascentiir ex evolatione hujiisniodi 



fractionis: 7. ;, cuius denominator cuiii liabeal 



factoics 1 H- z et 1 — 3 z- -f- 2% ca resolvi poteiit in 



duas fractiones: -— — et ^. Ilinc intelli£;itin no- 



stras séries resolvi posse quamlibet in duas alias, quarani 

 altéra nascatar ex fractione — ,— , ciikis terniini sint 

 A — A -p- A — A -|- etc. , altéra vero nascatur ex fractione 

 — -, qaae erit reciirrens , scala relationis existente 



3, — ■ 1 Quociica séries illae numeroruin a, h, c, quo- 

 que liac gaudent proprictatc, ut quilibet aequetur triple 

 praccedcntis, deniplo penultimo, duinmodo altcrnatim nu- 

 merus ille A modo addatur modo subtraliatur. Ita Y)\o 

 numeris §' 1 1 erit 



a" m 8 =: 3. 3 — 1 ; 6" — i3 nr 3. 5 — 2 



a"^— 21 := 3. 8 ~ 3; 6'"— 34 — 3. i3 — 5 



a^— 55 = 3.21 — 8; 6'"'— 89 ~ 3.34 — i3 



rt^':zzi44 — 3.55 —21, 6'' —233 zn 3.89 —34 

 etc. etc. 



8* 



