392 AiOYsii Casinelli 



qualionis gradus n esimi; I ^ a, ^, y, . . . . A, ^ radices nc- 

 ximeo unitatis; a,b,c,d, . . . . l,m elementa radicum 

 Si ergo agiliir de acqiialionibus quinti gradus^ erit 

 h=a -{- l> -^ c -^ d 



Ez=^a-i~d'b.^S'c-i-d*d 

 ct quoniani ea est pioprletas aequationis y" — 1 =0 in sit 

 />' = a% 't' = a% (5' = a% erit qiioqiie 



(«) 



Ex aggregate acquationum (2) , (5) habemiis 



(G) («^-a5)(«-Hf/)-)-(a^-|-a3)(i^c)=B-HE 



atque ex aggregate duariim (3), (4) 



(7) (a2_Ha3)(rt_Hc;)_,_(a_Haf)((&_^c)=C-HD 



Ex liisce duabus aequationibus (6), (7) infertur 



, B-hE — (a2-HaS)(^-f-c) 



C-i-D — («-i-«0(A-f-c) 

 rt-Hrf= . 



Ergo 



B-fE — (a'-»-a3)(i^c)_C.+.D— (a-i-ai) (b-^-c) 



Reductione aiitein fractionum ad eumdem denominatorem . 

 obtinebimus 



ex ([iia infertur 



