CVIVSDAM DIFFERENTIALIS. e\ 



ca inniwtiir , inucftigarc. Scilicct propofita ac- 

 quatioiic : 



dx -y/ A-f-C 3cr-f- Ex* 



d y — A-(- Cjyjy -f- ii >♦ 



fiiit x — \'pq ct q—V^ , vt hinc obtineatur 



fd.j P — V( P P — Q .Q.) 



exiftcntc - — [A±_Em:-tj7^+_iC^j 



Ponatur nunc (/zr «-}-">'(««- 1), vt fit i~^qqzz2qu 



X-qq-2qu-'2qq--2qV(uu-i)y erit ~^~;^- et 



^ — (iyF^lfvT^ crn , ^"t^c refultat hacc acquatio 

 t^unsformiita : 



4>du u(\-i-Zpp]-hCp-V:4.\^ppuu-{-< p u(.\-i--E p p]-^-CCpp-+-(.'E p p-A.)- ) 



dp Epp-A 



I 2. Hac aequatione in ordinem redada ct pofitc) 

 brcuitatis gratia membro irrationali zrVM fiet : 



u dp ( A -1- 'Epp) -\- Cp dp —p du (Epp— A) =dpVM 

 ac rciedlo prinnim hoc membro irrationah ^ rcperi- 

 tur intcgralc ^fr^fx" ~ Confl. cuius confiantis locQ 

 autcm fumatur quantitas variabilis j-, \t fit 



2E/)//+C=j(E/.jr,_A) et u~'-^f^ , 

 atque hinc membrum rationalc fit : 

 ^ds^Epj>-\- ^^ formula irrationah's 



iEpp-A)y'-^'j^ 



ita \t nunc fit —(Epp- A)=n^/,VE(Axj-+Cj-+E) 

 fcu yrusTqicsTpT) -+- eTFa = o c"i"5 intcgralc eft 



vTl /?v-i-:7:v+ v-h^(Aj+^C+VA(Axx+Cx+E)=Confi. 

 Tom.Xll.Nou.Comm. B 13. 



