hisque valoribus fubftitutis aeqaatio finalis per difFeren- 

 tialia ipfius y erit 



x' d'y -^ Ax' d^y-^-B x' d^j-^-Cx^d^y-^-D x' d' y 

 -\-Ex' d'y -\-Y X' ddy -\-Qx dy -\-}^ — o\ 

 vbi valores iplorum A, B, C etc. ita habentur determi- 

 iiati : 



Am5-l-a-4-P'; 



C — 9^ -H 3^ ( « -i- PM -i- 8 ( y 4- 5') 4- £ H- ^' 



-f- 9 { a p' - a' (3 ) + a y - «M -H (3' y - (3 y' ; 



D = 24. -f- 2+ (a + p') H- I 2 (y -+- ^) -+- 4 fe -i- <') 



^^_^0^_l_ 18 ( a [3'' - a'' |3 ) -i- 6 [a.V - cl^ ^) 



-Yal/ -qJ l,-\-6 ((3'y-Py')-|- j3'£-p£' 



-+- y <5' - y'' «^ ; 



E =: 6 (a p' - a' (3) 4- 6 ( a 5' - a' 5 ) -h 3 (a <^' - a' ^) 



-4- a e' - a' H- 6 ( y (3' - y' |3 ) 

 ^4(yy-y'<Jj4-(y<'-y^0 



-4- 3 (£ P' - E^P) -H e ^' - £' <^ -4- >1 (3' - V p; 



F— aCy 5' -y'5) -t- 2 ('y ^' - y' -^j-f-y 6'- y'd 

 -^ 2 ( e 5' - £' <^ ) -+- £ ^' - e' <^ -^ >1 a' - v]' 5 ; 



G = e^'-£'^4-£0'-£'0-l--y3^'-vi'<; 

 H = >j 0' - -vi' 0. 



§. 5. Si haec aequatio conferatur cum illa, quam 

 in priori noftra Differtatione §. 11. deriuaiiimus ex aequa- 

 tionibus: 



d^x-\-o.d^ x-^^d'y-\-yddx-\-})ddy-\-tdx 

 ^<:^dy-\-y^x -^^y — Q-y 



