FORMFLAS DIFFERENTIAL. RATIONALES. 125 



plex realis nafcitiir y^ a -\~ x y^ ^. FaAores aiitem tri- 

 nomiales obtinentiir , ponendo loco ai— i omnes nume- 

 ros impares minores qiuim n. 



§. 27. Ex liis igitur omnes fadores tam fimplices 

 quam trinomiales reales exhiberi pofllint formae 



a -I- (3 A'" 

 fi enim n fit numerns par, omnes emnt trinomiales , eo- 

 rumque numerus ~ " : qui erunt 



f a- ixfa^.coCA.-^-^-xxf (3' 



f a- 2x f ap. cof A. '^-\-xx f (3* 



f a* - 2x f «p. cof A. 'i-h-xx f (3* 



f a*-2xfa^. cof.A . ^-^ -h xx f (3» 



Qiiod fi autem n fuerit numerus impar , tum Tnus fiKHior 

 erit fniiplex , reliqui trinomiales , horumque numerus zz: 

 ~ : omnes autem erunt 



f a' - 2.X f a(3 . coCA . ^ -\- xx y (3* 



f a' - 2 A- f- «(3 . cof A . '}-}- XX f (3* 



t a' - 2.V f a(3 . cof A. '^ -\- xx f (3* 



■i^ a^ - 2.V f ap . cof A^~\- XX f (3* 



y u-\-xy ^ 



<^ 3 vtro- 



