C^8) 



VI. Si x' = ':^ypx'-h:^spsx*-h:iSp(ss—p)x^-+-2ip(s^~2ps)xx 

 -^lPis^ — ^pss-^pp^x-i-p^s^ — ^ps^-h^ipps)^ eric 



7,7 7 7 7 7 



.V — ya^p -t- ya^pp h- /^p' -+- /^j) -+- y^Ppp -+. Yb^p. 

 etc. 



§. <5. Qiio niinc hanc formam generalem reddamus, 



obferuandum e(t nouos coefficientes littcris p et s contentos 



feriem conftituere recurrentem, cuius fcala relationis eft s — p, 



Si enim ponamus : 



^X -f- 1 /,x -+- r 



et Q^^nr 



Q = 



«^ — Z»^ ^. a^-f-'_ Z»^-+-r ^x- 



, Q' 



/i^- 



manifefto erit Q''^ 



a 



a 



sq: 



a 



s Q^ — P Q? namque oh s z^ a 



^ crit 



a — b 



at ob p zn. a b erit 



PQ = 



/7' 



fl/^^- 



a — - b 

 qua forma ab illa ablata remanebit 



.Q/ 



pq_- 



a" 



~b' 



u 



Hac igitur \t2,c obfcruata habebimus fequentes trans- 

 formationes : 





s' — 3pss-+-pp^ 

 s' — ^p s^ -^ 3p p s ^ 



0-6 



!I!j=i.^ =: i' — 5 i) .1-' -I- <5 /) 6 .r J — P% 



a — 6 -^ 



5i^^ — y—6ps'-hppi^-~^p's^ 



a — b ' 



§.7. Ordo, quo idae formuhie progrcdiuntur, iam fatis 

 cfl: pcrfpicuus. Primo enim potcltatcs ipfius s continuo binario 



dc- 



