NOVA DEMONSTRATIO 



Q^^OD EVOLVTIO POTESTATVTVI 



BINOMII NEWTONIANA 



ETIAM IRO EXPONE\TIB\ ,S HIACTIS 



VALEAT. 



Au<r<orc 

 L K r LER O. 



Comcnt. exbib. ciie 20 Maii. i'--^. 



Q, 



§• X. 



ai;uulo in clcmcntis Analyfeos porcrt;itcs Binomii ciiohiiin- 

 tnr, id pcr n(ftn:ilcin mnlriplicaiioncin ficri folcr , dnin Bino- 

 minm aiiqnotics in fc ipCnm multiplicatur, totics ("cilicct, qtot 

 cxponens continct vnitatcs, atqnc hinc Ncwtonus pro potcILuc 

 indcfinitfl (i-f-.v;" dcdnxit illam tcrminorum progrcflioncm : 

 1 -\- :; X - ; - " ■ '^ - " x x-h "'"-""*-'* .v^ -h ctc. 



:. t I. a. 3 



Cuius crgo vcritas t:nitnm pro cafibus, quibns cxponcns ;; c(\ 

 numcrus inrci^cr pcifitiuus, pro dcmonrtrata c(t habcnda. Quod 

 antcm cadcin cxprcllio Acrita'i /it conrcnfanca , qn;iiuio cxpo- 

 ncns n cll vcl numcrus fraiftus , vcl nci^aiinus, vcl adco tr;in- 

 fccndcn<;, plnrcs ficomctrac oflcndcrc fiint conati, qnormn dt- 

 moiidrationci aurcm vcl nimis Cnnt abllruliic, vcl ctiain nimis 



lon^c 



