450 



Aloysii Casi>'elli 



Ergo 



A = 



n-\-1 



n4-1 



:(«,1) = (2«4-1)MN 



■2 2.3 



n 

 P 



c = 



n-»-3 



=:(.,3) = (2» + 1)(" + !^--J^-I1)mN- 



2. .5 



D = J^^ = («,4)=(2. + 1)^-f±lll-ll:il)MN* 



etc. 

 Pc 



etc. 



2. .7 

 etc. 



T = ^-^'' =(2 H, 1 ) = M N""*"^ + ar N 

 Erit igitur aequatlo quaesita 



2nH-1 



X 



— (2 n + 1 ) M N o^n 



— (2« + 1) 



(7?-H)ra 

 2.3 



MWx 



n-1 



-(2„4-1)^-l±iH:i^L)MN3."-^ 



— (2n+1) 

 etc. 



2. .5 



(« + 3)..(«-2) 



2. .7 



etc. 



MN'x 

 etc. 



n-3 



_-MN"*^— M-^N 



/ 



Evldeus est lex qua procedunt hujus aequationis termini, seu 

 coefficienles , quaque subsequentes haberi possunt . Quaniitates 

 INI , N manent indeterniinatae , et pro eis assumere possumus 

 immeros qaoscumque , ab eisque tanlum pendet diversitas ae- 

 qualionuni radices habenllum formae aa-^-a'b, seu 



2a-*-\ 



,n-4-1 



2n-»-1 



Pro aequationibus gradus 6 /; -i- 1 radices habenlibus formae 

 aa-^a^b; inveniemus 



