qnac forma ex praccedcnte orilur, fi ca multip^icetur per 



a -'. 



§. 6. Ilinc igitur adipifcimur lunc acquatio lem . 



d . x" -" -^ ^ d . x" s — X - ' d . x" ^ s y 

 qnac acquatio evoluta icducitur ad hanc foimam: 



x'" ^dds ^{a-^h-^i.x^ds-^ahx^-^^s—x^^cs + cx^^^^ds. 



Il.iec acqualio divifa per x''""^ et omnibus tcrminis ad 

 pdittm d xtram translatis induct hanc lormani: 



ozz:x(i — x) ud s -^[c — (fl-t-6-^-i^. x]3j— ah s 



ita ut a rcfolutionc huiiis aequationis difTcrenlialis ftcundi 

 piadiis fumm.itio fcriei propofitac pendcal. At vcro h.icc 

 acqtiatio ita comparata cITe videtur, uL in gcncic nuUam 

 intcgrationcm admittat. 



§. 7. Q'Mnfiuam autcm ifla acquatio diffcrcniialis 

 parum ftibfidii iiobis atfcrrc \id(tur, t.imcn ii fignis trans- 

 formalionis cfl capax , (jua tolum nofliuin negotium confi- 

 citui. Ulamur cnim hac fubftitulionc ^cncrali: s (»-x) a, 

 undc £it / j -= n / (i — x; -4- / z, ac dilTcrentiando ciiL 



ji ^* n ? X 



J z" 1 r ' 



quac acquatio dcnuo diircrcntiata prat bct 



<*'" — ±ll — iL^-? — " ** , 



"T" s s» (l — xj»* 



lluit add.UUf hacc aequatio: 



,..» — ^ — an ,»»..» . nnajca acprodibit 



J) ,-) ? h^x 2 1 - X n z I n (n 1 ) (? ** ^ 



7 i" »u — *) (!-•*;* 



f. 8. 



