DE FRACTIONIEFS CONTINVIS OBSERF. 53 



y <5^ — (/«-|-2j) y— (?/4-2j) S-K zn o 



^e — (/^-+-3-0 (5^ — (^-i-3i) £->t— o 

 etc, 

 ac tribuantur licteris ct, p, y, 5^, etc. feq^LienteS' valores; 



y znf/f ^ « + ai -f- ^£=^-^^ 



etc. 



ftperiores; aequationeS' tranoformabuntur in (equente& fjmilesj 



ab-(jn-s)a'— [n-^-s^k^-ss-^rmsi—ns—y.zii o 



(^ r— mi^ — {n-i- 2s Jc'- ss-\- Jns— ns — kiizo 



fd- (jn^s) c — («4-3 j) d- ss + /// s^ ns —k — o 



de—im-^r^sld-^n+^le — ss-irms-ns-K—o 

 etc- 



Atqne ex hoc ipfo vt iilinsraodii formae; {Tmiljes prodeantjf 

 iubftitutiones iilae fimt ortiie;. 



§.39. Si nnnc (imilL modo^ liae vltiraiie aeiqpntinnes 

 ope idonearumi fubftitutionum- ia; fui fimiles. transmutentur;, 

 reperientur loco ^,, ^, c\ d, etc fequente& fubftitutiones 



a-m-^n-S'^'^^^;;^^^^^ ' 



b—m-^n-\- s ^ ±'^-^^J-^^-^^-^^ 



^ — /;Z-F ?r Hr- ^ j ^-- l£i=i^H:iiH±2! 



etc. 

 qnibus fadlis (equentes prouenient aequationes : 



a\h\ — {:}n'is]a\-{^-^is)b\-^sS'\-'2.ms—ins—Kz=i^ 



kici-{m-s)bi-(n-i--:is)ci-^sS'i-2ms-2ns-K=(^ 



G a cLdi 



