





12 



— 









cc = 



CC + 



:pp- 



— 2 ppqq- 



-8 n qq-\-p k -\- 8i 



P p -\~ '6 nn 



Erat autem — 

 mm differentia 

 C ita definiri , 



8<r 



2 n -f- ££ 

 M9 



• 



expressior 

 constantem 



n s 



est 

 ut 



8<x. 

 n £ 



271 ~\- PP 



_= 8n; 



s uuaruru 

 unde patet 



sit CC 



... 



D 8<Z 











C a s u s generalis, 

 ubi omnes litterae admittuntur. 



§. 1 6. Posito nunc in genere x -\-y~p et x— yzz q, 

 aequatio nostra differentialis erit 



Kqd q — /3 9p — ly (p?p — qd q) — lldp ($PP 4" 9 9) 

 -f- Xpqdq — iepdp (p p -\- q q) -\- \ e p p qd q ~ O y 



eujus ergo integrale completum erit 



<h-aa<79 — 2 A,5p — Uy (p p — 9 9>— . a^ p Cp P — 9 9)? 



a — *-^(pp-99) 2 -f-/3# — W ep ( p p—qq^-^&W-ye) (pp-qqrt 



2A-Hy+-2(fp-f-£pp. 



$. 17. Postquam autem nostra aequatio ad hanc foTmam 

 est reducta ; ejus resolutio nulla amplius difficultate laboratj 

 posito enim qqzzzv, et terminis sive v, sive dv continentibus 

 in unam partem translatis , ista forma proveniet; 



(2 A -1- y -f- 2 <? p -!- f p p) 9 i> — v (| -f- e p) dp 



-= (4 /3 H- 2 y p -f- 3 8p p -f- e p 3 ) 3 p. 



5 y __ *>9p (*-*-£ . __. 3f>(4p-T--7 _> -4-3.f>?-H f>*) . 



_ X-f-V -+- 2 5 p -f- £ f j £ 2 X -f- y -f- a $p -\-£ pp > 



haec forma cum generali §. 12. comparata dat 



p — g — tp eJ . Q 4[3-f sy_>-f-5Sj>f>-f-£j>» 



fiet ergo fVdp _= — £ / (2 A -f- y -f- 2 c^p -f- e p p) h 

 ideogue e /P a * _= ^+y+rft+tny 



