C ^^ ) 

 CAPUT P R I M U M. 



J)e partitlone FumfionU fractal y^riaUlis at, formats^ 



r-oT-i . , a », 2.0 i^^ Q^^^ S non cdntlnet 



(actorem : (x* + 2 j) a; -|-/>» +^*> 



S XVIIT, 



Sit 



(a:» + 2 p ^ +/>^ 4- ^* ) 5" ** + 2 /> a; +;,» 4- ^* 



+ -/ eric M = C^+ i5 ^) 5 



-r}- P C^* + 2 jO vV ^^'^ 4- ^^)» Ad decerminandas quantitatea 

 A ot B opus est uc factor :»* + 2 /> a; 4- />* + ^* pona- 

 tur 1=: o; hoc autem fit, fi a? :=— ^ — ^V~i, iceraqiie 

 fi X = - /> + ^ V-^i. Si ilf ec iS" in priore cafu vocencur 

 iW et iS", in posceriore auteni M" ec 5", oriuntur hae 

 duae aequationes : 



M" ~js"^ B S" c-p + q v^o ; 



e quibus A et B detenninandae func. 



Sic V. c. Miz^ + ^'VH-cx^^ , S^x+r^ turn erunt: 



M'rr ^ -hp — hq V^i 4- c/>- + 2 c/) ^j' ^^ "• ^ (7* , 



ilf = a-hpj^bq V~i j^cp'^ — ^cpq V^i —cc^ , 



y =:r— /j + ^V^ZI. 



Igitur aequationes pro A Qi B crnnt: 



a -hpr b qV^i^cp'^ -¥ cp qV^'^ — q^ :=^ Ar -^QA^B r)p 



