.40 METU. IXrEG. FOR.M. DIFFEREYE RAmN. 



milTimis argiimcntis cft confirmatum. Fadorcs cnim fim- 

 plices cxprdlionis algcbraicac formantur cx rndicibus cius- 

 dcin cxprcllVjnis niliilo na]ualis pofitac , fic fi acquationis 

 huius 



•c;"-j-ac;''-'-}-(3c;''~=-t-YC;''""' -H ctc. — o 

 radiccs fiicrint z — p-^z~q:,z—r-^ ctc. tum huius cx- 

 prcflionis algcbniicac : 



z^-i-az''—-^- (3?"-'^- v="~ '^- ctc. 

 fnflorci fimpliccs crunt : ~-/) ; z-{]\ z-r:, ctc. itaqne 

 inucntio factorum fimplicium abloluitur iiiucntionc raditum 

 acquationis algcbraicac : atquc radiccs rcalcs piacbcount t.i(5lo- 

 rcs fimpliccs rcalcs imagin.iriac vcio imaginarioi. JJcmon- 

 Ihatuin autcin cll , li maxiinus iplius z cxponcns n fit 

 numcrus impar , tum acquationcm vd vn.im habcrc radi- 

 ccm rcalcm , vcl trcs , vcl quiiviuc , \\\ (cptcm , ctc. c^ 

 quo numcrus radicum non rcalium lcu imaginariarum crit 

 par , co quod niimcrus radicum omnium acquctur lui- 

 mcro Ji qui c!t impar. Dcindc ctiam dcmonlhMtum cll 

 fi maximus incogiiitac z cxponcns ;/ fucrit numcrus par , 

 tum acquationcm vcl nullain iiabcic radiccm rcalcm , vcl 

 du.is , vcl quatuor , vcl lcx , ctc. vndc ctiam hoc calii 

 numcrus radicuin imnginarianim crit par. ]'.\ quibus col- 

 ligitur , fi qu.iccunquc cxprcllio algcbraica habucrit fidorci 

 fimpliccs imagiiiarios , tiim corum numcnim pcrpctuo cllc 

 parcm , idcocjuc fi-floics imaginarios habcbit \cl niillum , 

 vcl duos , vd (]uatuor , vcl li:x , ctc. fccundum nuinc- 

 ros pnrcs. 



^ -55. Si iain iiacc ad dcnominatnrcm f)rmiilac no» 

 ftr.ic diffcrcntialis pro|X)fitac accommodtHUs , is vcl nul- 

 Jwn Iwbcbit fidlorcm fimjBliccm ininginarium , quo cafu 



•vtiqwc 



