FORMVLARVM DIFFERENTIALIVM. 213 



integralilis reddatur mnItipUcaf^re j. Si prior mul- 

 tiplicetur pcr Cj> et poftcrior pcr y^ fumta diffcren- 

 tia prodibit 



(p dc/y~jdc/<p+K<^(pdy-{-yd(^)(fx-{-j(^dK(ix^o, fcu 

 d. {(^dy—yd<^)-\'dxd. KCp.rrr o, hincque integranda 



<^dy-jd(^-{-K(^ydx~Cdx 

 quod cft ipfum integralc modo iniieiitum, 



24. Statuatur nunc (p — Sj^ + Tp, \bi S et T 

 funt func1ion2s ipfuis .v tantum , erit vero 



/d_d$\ ., dds ■ * t id T . ( d d Q -x — d_s . /loL^') — IT' 



Vdx»/ — ^ dx* ~f~^<lx» ' Mx^y — ax» V^d£.-' "~ d »■ 

 /'d_d_$>) _ o • ('^^^\— n ■ (^A^^ — cs 



His autem valoribus in aequntione noflra critcrium 

 intcgrabilitutis exprimcnte lublHtutis , fcquens orie- 

 tur aequatio : 



(Sj^ + TpjCL-l^l-KCjJJ+pJ-I^ + SCLj^ + ^^) 



-TUft+XU-S+2K?)+^^4^+p^-V2pJ|+JI(^-Kp-L^) 



= o 



vbi fi termini litteris j, p et q afFciHii feorfim nihi- 

 lo aequentur , hae trcs habcbuntur aequationes : 



II. (L-iy)T-KiT-(L+f3T + ilI+l%»-!^-=<» 



III. 2S-sKT + p^ = o 



D d 3 quae 



