crit 



X V = « et X' -{- X rr a w ; 

 quo notato numeraror coefficientis ipfius fin. c t ftatim fit 

 ■z:i[n — c c\ a -^- ^ mb c ^ coefficientis auteni ipfius cof. c t 

 numerator — [n — cc)b— zmac. At pro denominatore 

 vtrique membro communi (X X -f fr( X' X' + f t:) , quia is 

 euolutus eft 



XX. X'X'-f- (XX-f-X'X'} r<:-f-r*, notetur efle 

 X X -i- X' X' 1= (X -f- X')* - 2 X X' rz 4. OT w - 2 « , 

 vnde ifte denominator erit 



n n -\- [^ m tn — zn) c c + c* — [n — c c)* ■{- ^ m m € c. 

 QuibUs inucntis erit 



( — 1; c )' -t- + «I m ci; ( ■( — c c ) •• -I- 4. m 771 c c 



quod integrale igitur, ob coefficientes ipfius fin. f ; et cofi 

 c t prorfus couuenientes cum iis, quos fupra per litteras / 

 et g defignauimus , ert idem ac illud per praeccdentem 

 methoduni erutuin, 



^. 26. Alia adhuc yia fupereft paulfo concinnior 

 ad integrale aequationis propofitae perueniendi. Cum enim 

 ftatim pateat , multiphcaforem , quo formula finifira inte- 

 grabilis redditur, effe dtbere formae e"" d t , muhipiicetur 

 aequationis noftrae pars finiftra per hunc fadorem , prcdi- 

 bitque 



~ — -T- — -V-zme^^ dz-hne^^^zdt y 

 at 



quae ergo debet effe integrabilis. Eft vero pcr notam rc- 

 du(flionem 



e^^ dz 



Je'^^zdt~]^e''^ z-'Je''^ dz 



vnde 



