) S9 ( m< 



Facfla nnnc combinatione ifta : 



LX. X' 4- VII. X a:^ -H Vlll. X' Jf^ 4- V. |jl jf' -j- VI. (Ji' x' 

 4- lir. i/ X -+- I V. /a- 4- I. tt h- 11. 7t' = o, 



et pofitis coefficientibus differentialinm ipfius z nihilo ae- 

 qualibus, aequatio tinalis fola differentialiA ipfius j» inuol- 

 net. Erunt vero coefficientes difFerentialium ip fius j vti 

 fequentc fchemate repraelentancur. 



X' d' y 



i6 + a+X' 



d^j 



4- p. + X X' 



x^ ci^ y 



p^-fS^a+Sy + E 

 •t-X^s^ipa-fy) 

 + p.( 8+a)-fK 

 + X'(9a' + Y') 

 + |Ji.'a' 



jf* d\y 



X' d' y 



24-t-24.a + i2y-f- 4£ 



+ '^ 



-f-X(24-{-i8a + 6y-|e) 

 + p.(i2 + 6a+-y} 

 + V ( 4 4- a ) -f- TT 



-i-X'(i8a'-h<^y' + e'} 

 + fx'(6a'i-y'j 

 •+- v' a.' 



X;,6a-t 6y-f 3 s+y\} 

 + fx(6a-f 4^4-e) 



+ »^>3a-j-y)4-7ra 

 + X'(6a'-f ^-yz+se/^;,/) 



+ i^'(6a'+4y'4g') 

 + '''(3a'+y'j+7i'a' 



Jf* // ^^ 



X dy 



+ 7l'7|' 



IJ.(2y-i-2e-t-'V]) v^e + Ti^ + Tte 



"f v( 2y + e)+ Tty +v'(£' + Vj + 7t'e' 



+ fJ.'(2y'+2E' + V)| 



+ v'(2y'.f £') + 7r'y'l 



Differentialia ipfius dz heic adferre intermittimus, quum 

 cx luperioribus facilc perfpici queat , valores ipforum X, 

 X', jji., jul', etc. ita fore «xpreffos : 



X--4-p'i X' = -p; fJL=:4-^'; fjL':z:-5; 

 v=:-i-4'; ^'=-4; TTZn-h^'; 71'=:- Oj 



H 2 



his 



