De FORMIS UADICDM AEQUAT. ALGEBR. 323 



4." S.'' 6/ 



-t-72A2B2 -I-24A-CD — 48ABCD 



-4-72D^G^ -f-24B'CD 



-I-21C-AB 

 H-21D=AB 

 Expressa symbolo P,. sainma poientiarum r esimarutn radicum 

 A,B,aD erit 

 Series prima =Pi 



Secunda =24AB(A^-+-B-)-t-24CD(C2^-D-^) 

 Tenia =_GA'(B^-|-C-'-hD-2) —GA^P.,— A'^) 



— GBXA--+-C--HD-) _ _GB\Pj_BO 

 — GC-(A--hB--i-D-) ~ _GC-(P2— C-2) 

 — GD\A2-4-B2_hC5) — GD\P2— D2) 



=— GPo.Pj-hGPj. 

 Quarta irreducibilis est et ideo 



=72A2B'-h72C-^D2 

 Quinla =24AB(G2_i-D^)-h24CD(A2h-B2) 



Sexla =— 48ABCD. 



Cum autem sit P2 =— 2M, P4 = 2 ]\P — 4 Q ; A B C D =Q 



erit 



25GF=8M^— 25GQ-H48(;AB-HCD)M-i-72(AB-t.CD)2 

 et ideo 



M^— 32Q-HG(AB-t-CD)M-t -9 (AB-f-CD)^ . 



~ 32 



Cum sit G=rt*i!>*-+-rt*c'*-t-Z»'*c* erit 



6553GG= 



