31 



(c/— 7 a 4- ^) (2/+ 7 a 4- ^v) = 4 JH- 4c, 

 qtiae, iisdem operalionibus repelitis, sumtoque /''''— 49 aa -4- 4e 

 ad seqiientem rediicitiir : 



A^'' B''' — A'"' (2/— 7 a) — B^^ (2/4- 7 «) 1= 49 aa + 4c, 

 sive in factoribus erit : 



(A^^' _ 0/ _ 7 n) (B^^ — o/^_ 7 «) _ 4_^_^ ^ ^^ 



Ex quibus jam abunde liqiiet, quomodo calculum ulterius 

 piosequi oporteat. 



§. 2 3. His igitur valoribiis successive siibstitutis ob 

 s z=naH-4c; s' z=z gaa -+- 4c; s'' =z 25 a a -f- 4c; 

 /'''' :r= 49 a a -I- 4 c ; etc. pro A obtinebimus sequentem 

 fiactionem continiiam : 



zz.2j—a-i- V -Î-— — -, — 



J 47 — 20 -f- 9 aa -f-4(; 



4/ — 2a-\-2;aa-h4C 



4/— 2a H- 49 aa -f- 4c 



4/ — 2 a -f- etc. 



Simili modo hinc erit : 



Br aa H— 4e 

 •' 4^-1-20-^-900-1-40 



4/-f- 2a -\- 2$ aa -f- 4e 



2C=:2/-^3fl + 



4/-)- 2 a -f- 49 a a -4- 4 c 



4/ -j- 2 a -f- etc. 

 aa -^ ^e 



4/-)- 6a H- 9aa -f- 4? 



4/-f-6a-t- i5aa-)-4< 



4/-i- 6 a -)- 49 a a -4- 4 e 



4/ -H 6 a -i- ffc, 



2Drr2/-^5a-f-'';i^ii — 



J 4/-|-ica-^9fl.t-f-4C 



4t/-H iog ->- 2;aa -t- 4c 



çjç 4/-|r ic a -i- 4'! a a -f- 4c 



4/-)- I c« -f- etc. 



