=-== (26) == 



hinc ergo colligitnr IVI— /) r/)-i) A-+- 2/) A^-f- A^^. Prodlt porro 



hinc ergo crit 



M = p (p -1) (p- 2) A-^ 5 p ( p-i) A' -^ 5P A''-^A'''. 

 Hinc iam patct, cx formuhi ~ V oriturum cffe vaU)rcm 



M=p(p~i (p-2)(p-3) A-^4-P(p-^)(P~^)A' 



^6p(p~i) A'' -H 4/> A''' -j- A^''^^ 



vndc lcx progrcfllonis fatis eft manifc(hi. At vero pro altc- 

 ra littcra 11 habcbimus: 



cafu V = I , R = .v^ X / .V , 



ca( 11 v- = 2 , R =r .V? X ( / .v/ , 



cafn V = 3 , R z= .V? X (/ .v)^ , 

 . atque adco in genere cafu vr^K, erit R ~ .v^ X f/ .v)^ Ex 

 his igitur formulis nancidcmur vaiorcs differentialium omninm 

 ordinum formulae a-^ X (/ a'^' , poltquam fadis omnibus opcra- 

 tionibus pofitum fucrit jr nz i : 



X— . ^. .v^ X (/ X)— ?:j>jiiL^\ 

 ^ ^ dp' ' 



qui valor fempcr crit ro, exccpto cafu vri, qno proditrA. 



f> (p rp — i) A-+- 2p V ^ V) 



-' dd.A^X(ixy 



«o _ _ 



■qui vaior fcmpcr cfl o quando y ^ 2. 



qui valor (cmpcr cuancfcit, cxceptis cafibus quibus >' =z; <^ 3. 



lu his formulis notaflc iuuabit cfie 



Pro 



