r i xniFFERENTULIS. 235 



<E — (juH-oU-f- ^fil ^fc, Ponatur tf x"^^ =z f brenltatis 

 gratia,ent t — i -4-(,>+., ) (~j)~*~ [n-h i xn-+-2;un-f-3 a -niiri") 



H-('^l){n_+-2)(2a-}-3 (Z^+^C SR-t-? X3"-t-<5)"+" ^f^. HuiUS 



ergo ferici ilimmatio pendet a conitrudione aequatio- 

 nis propofitae ax^^dx — dy-^-y^^dx, Quamobrem fi 

 leries i-+-Ace^-l-ABaj3^2_|_etc. in eam poffit trans- 

 mutari, habebitur fimul conftrudio aequationis propo- 

 Etae. 



5. 7. Sed quo haec feries, quippe quac nimis eft 

 gcneralis, aliquanto magis reftringatur , et determinatio 

 litterarum arbitrariarum facilior efficiatur , pono in foi'» 



mula YKdz initio affumta P — , et 0=: 



— p3 cic. 



dz 



f__^dz et/PQ^fl';^^/--^-^ ctc. Pof. 



funt autem hacc omnia integralia ad primum/ 



{i-^-b^y* 



reduci : eft enim generaliter / , 7, -^ — IfT^^l^r r^i 



. Hauc 



ob rem erit / , rz / - -— -■ 



•'(i-|-^;i'^/-+'' Z^jJL^^^Ci-l-^^V 



I.5r r g"'* ^^ lf|JL-HX) ^- 



b^viT^bJy'' ^ \i-\-b^^^ "" b^\K^y(^y^) 



Gg a /</;? 



