De AEQUATlONinuS ALGEBRAICIS ETC. 51 5 



7." a^a-^-a-'b-^a^ c-\-a.^od 

 8 .« a^a^a'A-t-a* c-i-a9 rf 

 9." a^«-(-a'i-+-a' c-^-a" <f 



Quod special ad aequatioues quarum radices sum priraae for- 

 tnae, erunt aequationes auxiliares 



24«f/-+. 24 i c = pi 



3Ca^c-*- 3G i ^i = P3 



72(&-c2-H288aAc(/-t-72aV-=P4 



3G0fl2Ac^-^-240a3crf^ 



M-3C0iV-'c-H240ai(/3 j — ^ 



s 



Sil aulem aequalio quesita 



ar'^—l 2Bx' »_•) 2Cx9_1 SDx^— 24Ea:^— Fx^ 

 — Ga:5— Ha- '— Kr ^—Lx^— Mar— N=0. 



Erit ideo 



hinc 



P2=24B 



P3=3GG 



P4=288B'h-72D 



P^=72013Ch-120E,- 



l.a arf-f-ic=B 



2." aV -(-^^i=G 



3« ^'•-c-^-f-4«ic^-+-aV'=4B^D 



4.« 3a'Z'c'-4-2a3c£/ 



^Wd^c^Zabd' =gbc-he;. 



Ponaiur adz=k bc=h , erit 



1.» /i-t-A=B 



3." ^2-+.4/M-t-A'=4B'^D 

 seu 



(A^A)2-l-2AAs=4B»H-D 



