CVIVSDAM DIFFERFNTIALIS. n 



qiijic cfl acqiuuio intcgralis complcta huius difHrcn- 



tialis : 



dx ^^_y 



vbi conllans G ita accipi dcbct , vt fbrmula irra- 

 tioiialis VAEfAEH-CG-i-GG) non fiut ima- 

 ginaria. 



15. Forma hacc integralis adhuc commodior 

 rcddi poteft poncndo G~E//, ficque fict aequatio 

 intcgrnl s : 



A(.v.vH-iT) - ffi^-hE A'A7/)+2 atV A(A-|-C/q-E/) 



\bi / cft conftans arbitraria. Hinc autem clicitur 



i c V A [ A -4- C//-f- E /«; ±/VA( A-f-Cxx-^Ea*) 



'^ A — EjJ X X 



fimihque moJo 



y VA;A-«-C//-»- E/*)±/V AfA ^Cjyjy-t-E>M 



-<- — A — Ejjyy 



Qiiac formulae cum iis, quas olim dcdcram , pcrfc<n:6 

 confcntiunt. 



16. Intcgralc hic quidem aequationis diffv.rcn- 

 tialis propofitac mcthodo direfta fnm confecutu^ , 

 vcrumitamcn ditTitcri non poffum , hoc pcr multas 

 ambagcs cfTc pracftitum , ita vt vix fit expedan- 

 dum , cuiquam has operationes in mentcm venirc 

 pntuiffe. Ex quo haec ipf-i mcthoJus , qua hic 

 fum vfus , phirimum in reccffu habere vidctur , 

 nequc vlhim cft dubium, quin cam diligentius fcru- 

 tando aditus ad muUa alia pnieckra aperiatur ^ ac 

 fortaffc aha uoua methodus idcm pracftandi dctcga- 



B 2 tur , 



