MÉTHODE D'ÉLIMINATION. 183 



Revocetur rursum ad analogiam duplicata ista aequalitas : erit 

 itaque 



Ls. in D — Ac. in D ad N»/. in E'/. — B in A in Eiy. — Zs. in E H- Ac. in E 

 UIN7.— BinA adE^.+ DinE. 



Quum itaque factuni sub extremis œquabitur facto sub niediis, 

 tanquam ipsi œquale, omnia homogenea poterunt dividi par E, ut supra 

 demonstratum est : erit nempe 



Zi. in D in E7. + Is. in Dy. in E — Ac. in D in E17. — Ac. in D7. in E 

 aequale N77. inE^. — N»/. inB in AinEy. — N(/. inZ.v. inE 

 -t-Ngr. in Ac. inE — B in AinNy. inE7. 

 + B(/. in A7. in E17. + B in 'L&. in A in E — B in Ac/c/. inE, 



et, omnibus abs E divisis, fiet tandem 



Zs. in D inE + Zs. inDy. — Ac. in D inE — Ac. inD^. 



ïpquale Ni/^. in E — Ny. in B in A in E — N<7. in Zs. + Ny. in Ac. 



— B in AinN7. inE + B^. in A7. in Eh-B in Zi. in A — B in A 77. 



Quo peracto, nova hœc aequatio unius adhue gradûs depressionem 

 ((|Uoad secundam radicem) lucrata est, ut hic patet : quum enim homo- 

 genea sub E adfecta in unam œquationis partem transierint, fiet 



Z.v. in D7. — Acl in D7. -H N7. inZ*. — N7. in Ac. — B inZi. in A -f- B in A 77. 

 sequale N77. in E — N7. in B in A in E — B in A in N7. in E 

 -h B7. in A7. inE — Z.s. in D inE -i- Ac. in D inE. 



Nequc ulterius progrediendum, quum jam secunda radix sub latere 

 fantum appareat, ideoquo, solo applicationis bénéficie, ipsius E relalio 

 ad priniam radicem manilcstabitur : ut hic 



Z.ç. in D7. — Ac. in D7. -{- N7. in Z^. — N7. in Ac. — B in Z.î. in A -4- B in A77. 

 N77. — N7. in B in A — N7. in B in A -t- B7. in A7. —Zs. in D -h Ac. in D 



sequabitur E, 



quo tendendum erat. 



Ut igitur duse prinium propositœ radiées in unam transeant, resii- 



