558 Petri Caliegari 



r "~* 1 r ^"~^ 1 r \"'~' 1 



Am«„L«^'^«-^-a('')«J-*-Am~2nLa(')aH-a(A)rtJ-t. . . . -»-A„_e„La(')a-t-a('")rtJ 



-A„_i[a{Ort-t-a('')aJ-f-A„_„_,[a(')a^a('')a]^ . . .-♦-A„_y„_,[a(')a-Ha('')a J 



—-ft 

 -A„_2[a(')a-»-a(A)rtJ-(-A„_„_2La(')rtH-a('')a]4- . . . -t-A„_.„_2[a(')a-i-a('')aJ I 



Ast innotescit [aWa-^-aWa] =[aW-Ha('')]a"— ^=0, [aWfl-t-aWa] 

 =[a(')!H-aW]rt2«-i =0, . . . .[a(')rtiocWrt]z=[aw!Ila(/')]aen-i=0 ; 

 et ideo loco praecedeiilis aequatlonis babebitur altera 



A„,_i|.«(')«-t-a(''^«J-*-Am_n_iLa(')rt-Ha('')aJ-(- (-Am_/-„_i[a(')a-+-ft(*)aJ 



Huic aequalioni generatim substitui potest 



n-t-I 2«-t-l Jn-^-t 



(H) A„_|X-HAm_„_lJ? -+-Aot_2„_iX -+- \-Am^f„~iX 



H-+-2 2n-f-2 gn-t-2 1 



■♦■Ani_2-=cVAm— n—i'*^ -l-A„_2„_2^ -^ . . . -^-Am—gf—l^ [=0. 



Si haec aetjiiatio (H) divldatur per x orletur 



n 2n 



(I) Am-^-^-^,n-n-^x -+-A„_2„_iJ? -t- i-A;;,_/a_i a/'* 



n-1-1 2'i-l-' gn-t-l 



■♦-Am— 2J^-t-Am— n-2J:^ -+-A„_2„_2-r -+- y-Am—en—2X JsnO. 



Ex hac, si cum aequatione (G) comparetur, infertur 



n 



Ab aequatione (I) habebiims 



n 2n en 



Am-^-Am-nX ~i-Am-2nX H -4-A/»_«nX- =0 . 



