-S^:i ) X83 ( ^'9%^ 

 Caeterum quum fit 



d U — '^ P'"- '^ '•"-^•^) . [ „ b p d{ fin. i . 



fi aequatio difFcrcntialis: 



ddp - p[d^'-^ d^Hin.^^) _ \(p-h bcof.^) __ BJp_~ b cor. f) . 



multipHcetiir per 2dp^ habebimus fequentem aequationem : 



idpddp-tp dp (dJ'+_ d CD ' Jin. ^» ) _ 2 X d p (p ^ b coj.^) 



d T^ . ,1'' 



2^ d p i p — b CQ.^) '■ 



Tumque li aequatio difFerentialis: 



pdd^ + 2dpi ^ - pdCt)'' fin.^ cof.^ r r / z' A _ ^ 1 • 



d t' * S \ -u^ u^ y f 



multiplicetur per zpd^, confequemur: 



et his aequationibus inuicem additis prodibit: 



2dpddp + 2p''J Qd^^ 2 pJpd^ i-. 2pdp di^^fln. i--2p y :p^d^f i n.^co'. g* 

 2B b p d ? fw. i 1 A d V 2B d u . 



ideoque huius aequationi^s integrale habebitur: 



(M) 'ijl^PlJjLrtJ^l — 2 ( A ^_ 1 _|_ £ ) . 

 Nam ob 



_ 2pd dcp ^ fin^' — tp^d(J)^ d^fm.^cof ? _ _ w+ ^0= d D , d^cof.^ ^ 

 d T' — d T- {p^jiii.i^'' p-ifin.iO 



ob ""y/^f- conftans , integrale horum terminorum erit 



nu* d (p' , lu' d 5)» 



f ' rf T- . Jin. ^^ — ~~d 7-~ 



§. 20. 



