Aliae nonnullae appi.icationes etc. 559 



Am-n.-iM'^a-«-a('0rtJ-(-Am_2n_iL<iWa^a('')rtJ-f-. . . -f-A«,_/-n_iLa(')a-»-a('')aJ 1 

 -4-Am - 2 La'Ort-Htt(''Jrt]-H.V»,_ „_2[a(')rt-Ha('';aJ-+- . . .-HAm-g„_2[a(0«^a('')a]l 

 H-Am — 3 La(')fl-^*^'''aJ-»-Am- n- 3La(')rt-»-a''')«J-H . . . ^Am-Aa-^VaCOa-t-aC-^aJ 



n— 1 2«— 1 



Ast cum sit fa('V/-i-af''^a]=0 , fa('5rt-i-a'*^'=0, ec. 

 aequalio ullinio deducta leiliicitur ad aliain 



Am-2UC')a-+-a(*)aJ-|-Am_„_2La(')« +-aWaj-+. |-Am-g„_2W'')a-+-6i(A)aJ] 



r 1 1 r n+1 -j r */i-k-l -f 



-Ao,_jLa(''a-+-a('')flJ-t-Am_„_3La(')a-Ha('')aJ-4- HAm_A„_3La(')a-i-a('0a.V::=0 . 



Aequalioni hujusinodi generalim subsliliii potest 



n-t-1 2«-(-l S"-*-^ 



Am_2r -+-Am_n-2-a^ -4-Am-2n— 2-^ -{-... -|-AOT_g„_2X 



n-»-2 2/i-t-2 An-f-2 



-t-A„,_ja:"-f-Am_n-3J: -HAm_2n— 3J: -t-...-+-Am_A„_3X \=:0. 



(L) _H 



Haec aequalio, si cum aequalione (I) compareiur, manifeste 

 demonsirat esse 



n 2n fn 



hm—\-\-^m—n—\X-\-lim—in—\X -+-... -<-Am_/;,_l J7 =0. 



Quando aequalio (L) per j: dividatur, eiit 



n 2« gn \ 



A/n_2 -l-A,n_„_2 .X -+-Act— 2n-2 • ^ -+-••• -4-A„_g„_2 . X 1 



n-t-1 2/i-(-t *n-t-lf 



-4-An,— 3 • .r-t-Am-n-S .or -+-Am_2n— 3X -+- \-S.m-kn-l . X , ^0. 



Eodem modo demonstrandi , quo hactenus usi sumus , e- 

 ruetur 



T. YII. 72. 



