De AEQUAT. ALGEBMCIS 



2 ... 4 



4G1 



(ICra, 8) = (20n4-1) 



(1G »+7) U>n 



2.. .9 



M^N' 





('/) 



etc. 



etc. 



etc. 



I 



Quod attinet ad aequationes (a') , (b') , (c) , (d') etc. ad de- 

 tegendam legem qua ipsae procedunt, taniquam lemma prae- 

 mittam sequentes observaliones. 

 Sit aequatio quaecumque 



m m— 1 



J" — A,r 



Bx 



ni-2 



m-J m— 1 



C X — D X 



Ejt —Tx 



m— 7 m— 8 



— G JT — Ho: etc. = 



JNoiissimo theoremate erit 



P =A 



P. = AP-+-2B 

 P5 = AP. + BP + 3C 

 P^ = AP5 + BP. -t-CP-4-4D 

 P, = A P, -4- B P3 -4-C P, + D P -^ 5 E 

 P, = A P5 4- B P4 4- C P3 + D P, + E P 4- G F 

 P, = AP,-4-BP5 4-CP,4-DP,4-EP,4-FP4-7G 

 P8 = AP,4-BP,4-CP,4-DP,4-EP,4-FP,4-GP4-8H 

 etc. etc. etc. 



Ex hisce aequationibus dcducemiis coefficienies A,B,C,D, 

 etc. eritque, expressis symbiilo (p) quanlitates formae 



— , habebimus 

 P 



