14 



alqne iiltcriu.s si liic statuam r=ic-|-3;îa -f- --» P^^^'^^^ 

 ista acqiiatio : 



axds — (c + 4«n) sdx -{- ssdx zn x' dx. 

 Sicque porio in infinitiim piogicdi licet. 



VI. dnodsi iam loco litterarum p,q,r, s, etc. valores 

 successive substituamus, pro variabili z icpciicmus scqucn- 

 tcm fractioncm continuam salis concinnam : 



. x^ 



7, C 'T- c_^_jia~hx^ 



o -|- : n a ^- x"- 



c-}-3 na-f-x™ 



c-i-^na-i-x^ 



unde aequationis piaecedentis, qnae, ob h :=: c — a, ciat : 



ad y + (a — c)^^ -\- yydx r= x"" 'dx, 

 valor y liac fiactione continua exprimetur : 



•/ X ' c-'rna-j-x'"- 



c + 2nd-|-x"- 



c + 3nii-f-É>fc. 



VJI. Ilinc igitnr pro ipsa acquatione piimum proposita: 



ady + yydx z=: x d x , 

 nbi scilicet est c zn a , ciit : 



VIIT. Quodsi ergo vicissim piofjonatur ista fractio 

 continua : 



