PROBLEMATIS ANALYTICI. i6$ 



f{mdt-\-\y.du)zi:mt-\-\ku—f[tdm'\-ud\k) . . 



• f(ndt-{-v du)—n t-\-y u-fjdn i-ud V) y 

 nunc confcquemiir 



f{mdt-i-\jLdu)—mt-{-iJiu~fdm{SX-Sl'Tang (a) 

 f(ndt-\-v dti) — nti-v u — /flf«ifl-il'Tang.ca> 



lam autem de integrabilitare hariim formularum , 

 nulkim amplius fupereft dubium , fiquidem quanti- 

 tates figno integrationis affedae , non nifi fundiones 

 folam 01 inuoluentes comple<Santur. Caeterum haec 

 integralia exprimi quoque poflunt fequenti modo : 

 /( / ^/-f X du) ^fQ da^Xda') + s(il fin. co -h X cofTa)) 

 /(w/// + jJL^«)=/(///^ri+|Ji.^n')-t-jr('«fin, 0) + fJi. cofei) 

 f^ndt^ V d u)zz f{nd Q. + v d iV}-\- s {n dn. (a-^ V co{,(j))f 



■vel etiam ita 



/( ldt-\- \du) — f{l d£l-\- X dSl*)\-sp 

 f{mdt^^du)::zf{md£i-\ \i.dD,')-\-sq 

 f\n dt-\-v di£) z:^ f{n d a-\- vda'}-^sr. 



8. Nunc autem operae pretium quoque erit 

 fin^uhres quasdam aflK^dioncs quantitatum /, m^ «, 

 T^, ffc, V et jO, q^ r heic accuraiius expendere. Quod 

 autem priores attinet , obferuamus eas per difFerea- 

 tialia fic fatis eleganter exprimi: 



7 — d.pSec .a . ^ d. fi S €C. m . _ — d,rSff.M 



— d.Ta.ig.u > — d.Toag.^*' — <<. Tong.oi 



> d. pCofec .a. ^. d. q Sec. ta . ^ d,r Cqfecu 



"" d.C0M» ' ^ — d.Co;.» » '^ — 4.Cor.» * 



X 3 Vlte- 



