(I(?p) 



Quod fi igitur ftatuatur 



a -^ 



" + 



ftadm manifeftum efl: fore 

 2i -f- 5S — ^-±-^ , 



a ' 



a.-\-^~ I , 

 vnde pro 21, 5S, a, (3, fequentes valores oriuntur: 



■! a ' 



5» & --t- c ^^ T^ M & -^ c )" — 4 a d ] 



■^ a a ' 



P== 



& - g 91 6 — cIiI-/[(fc-t-cP — 4gd] 



(>5 — 'JJ) -i'li6 r-c)^— 4adj ' 



a«5 — 6 c — 6 Ih i^ [ ( ^ -*■ c)' — 4 a d ] 



alS5-31) 2/Hfc-c)^ — 4ad] 



His ita determinatis aequatio integralis, ex cuius differentiatio- 

 ne propofita aequatio homogenea 



'bx{ax-\-by^-\-'by(^Cx-\-dy^ — o^ 

 nafcitur, ira fe habebit: 



(Jf 4- %yj X (x -\- ^yf — A. 



§. 17. Ad hoc oftendendum fumantur huius aequatio- 

 nis logarithmi, eritque 



al (x-h^ y)-h(^I (x-\-?dy)=zl A, . 



atque fumtis difTierentiahbus prodit 



x + n y •" x-t-?& y • 



Hinc autem, fublatis denominatoribus, fequens nafcitur aequa* 

 tio differentialis: 



Noua Aaa Atad, Imp. Sc. T. VIL Y -♦-« 



