DE EVOLVTIONE 



POTESTATIS POLYNOMIALIS 



CVIVSCVNQ.VE 



( I 4- r -h X* -i- x' -f- x* H- etc.)* 



Au£lore 

 L. EFLERO. 



Coiwental exhlb. dle 6 Julll i77S. 



I 



§■ I- 



rcipiamus a poteftate binomiali (i-f-x)\qua more folito 

 evoluta defignenius coefTicieatem poLfta^is cuiusvis x'' hoc 

 charaQere ( ^), ita ut fit 



(iH-xr = t-^(^)x-4-(l)xxH-(i)x^t-(^)xVetc;...(^)x% 

 ubi. ergo erit 



-\4y i. 2. 3. ~4~ ^' 



et in genere 



( — ■) — n . <n-T^ (—2) ■ . . . (r.-XH-I ) . 



^ ^ ^ 12. 3 . r ; ; >[ ' 

 imde patet cafa X — o et X zr: u fore (— )~(:L)rz:r at- 

 qne ad-o in genere (^)— (^). Praeterea vero notafle 

 iuvabit, tam cafibus quibus K eft nuraerus negalivus, quara 



qui- 



