) 69 ( ^c|<- 



XIII. .V 4- X. X A-' + XI. Vx' + XII. X" X' f VII. {JL jc« 

 -+- VIII. {jl'.v* + IX. iK>'x' + IV yjf 4- Y.Vx 

 4- VI. y" j^ -h I. ? 4- II. ^' -^ 111. e" , 



tumque coefficientes differentialium ipforum z et "y nihi- 

 lo aequales ponantur, prodibit aequatio folis difFerentiali- 

 bus ipfius y affeda. Ratio autem coefficientium pro dif- 

 ferentialibus ipforum z u v fequenti fchemate reprae- 

 fentatur : 



x'd'z 

 4-X 



X' d'z 



4|3H-£+X(3 

 X'(6+(30 

 X"p"+|ji.' 



x^ d' z 



X(3(3 + £) + fxP 

 + X'(5+3(3'+£') 



+fA'(4. + |3') + v' 



X"(3P"+£")+F-"(3" 



X d z 



^'(P + e^ + e^B 

 K'((3' + £')+e'P' 

 v^dS^ + e^^e^P" 



x^ddz 



+ fx'(2+2p' + eO 

 + x' (2 + (3') + e' 



z 



y 



+x" 



.V* d' V 



4y+<^+>^v 



^'^'^^"(d+y") 

 + p." 



x' d' V 



^(3V+<^) + M-Y 

 +X'(3y+^')+fjL'Y'' 

 + X"(6+3v" + ^") 



+H-"(4+y')+v" 



-r- X d V 



v{y + ^) + ^y 

 + v'(y + ^')+^'y 



+^'(y"+^")+?V" 



\^{^y-^^)-^yy 

 +l^'(2Y'+<')+v'y 



+,ju"(2+2y'+<"j 



+/(2+y)+^" 



?^ 



+ e'<' 

 +?"^". 



Hi« 



