J. is. Nunc cadcin foima tnnqiiam binoniinm re- 

 prnefentata crit [ i -4- x ( i -I- x -f- x x -t- r*)]% cuiiis e\olii- 

 tio in gencre pracbet membrinn (-^/x^^C i -+-x-|- jcr h-3c\'% 

 ubi faftor ( i -|-x-|-xx-f-xM" contlnet tcrminTim (JL/x'', ita 

 ut iunHim habcatur iftc terminus (-^)'( -^ / x^ "*"''. Qiiare fi 

 fuerit a-4-|3 — X, poteftalis x'' ex hoc membro coefTicions t rit 

 (-2-/(-J)*. lam litteris a et (3 tribuantur omncs valores, 



<luos ncipeie poflunt, incipiendo ab a — X, atqiie coefficicns 

 quaefitus erit: 



•(^/=(i)-(i)*-t-(^,)'(^-'/+(^,/(^/ 



-t-(,l,/(^^/-t-EtC. 



ficque omnes charafleres jiumcro 5 notati per charaOeres 

 ^rdinis praeccdentis niunero 4. notati , una cuiii chaiaderi- 

 bu9 nuniero 2 nolatis definienlur. 



Conclufio gcncralis. 

 §. 19. Ex his iam Xalis licjuet- fi pioponatur pote- 

 ftas p' lynomiahs in genere ex terminis numcro (?-hi con- 

 ftantibns, fcihret (i-hx-Hxr-f-r' .... x*/, tiun termini 

 poteftaiem x" conlinentis coefficicntem fore (■^/'^^ q"i ^^<^ 

 tx char.itloiibus numero 6 jiotatis componctur nt fit; 



C l /-'^c;j-)'(-^yH.(^^)\i=i/-^(^)X^-:«Aetc. 



quae forma omrtcs pr4«cedentes in fe compleditur. Si cniin 

 incij)idmus a valore dzrri , hoc cafu h.ibctur potcftas bino- 

 mialis 1 I -4-x/j chaiaderes autcm uniialc noiali oriuntuc 

 ex poteftate monomiali i", unde oritiir (5)r:i;i, rehqui ve- 

 ro oinnes in nibilinn abciint. Hinc per cafus procedcndo 

 babcbiinus ut fcquitur: 



