492 Jutn Bedetti 



a' = a-t-a x + bj^cz 

 /'=/? + «' x + i'7-f-c' z 

 z' =y + a" x-+-6"j-t-c'' zj 



denique cum x, et 7' verlaniur in (a?-f-<a), (y-l-i), pona- 

 imis «, x'jj-'^s' veni iu (s-hO), (j:'-H<y'), (y-+-/'), (z'-+-&'). His 

 faclis substitulionibus , aequalioues quas supra adnotaviinus, in 

 has mutantur 



(1); e = (/>o-+-7'>4-Y(ro'4- 2 jot + <»••) + -f 

 in qua 



P=\rx)''^=\Ty)'''=\d-^^)'' = \d^j)' 



(2) ; e'=(P»'+Q'')+ 5-( R 0"+ 2 S o' i'-l- T r) 4- .... ; 

 in qua 



^=m 



)•■■•> 



(3); o':=ao + 6 /-I- c5; 

 (4) J i' = a'a-\-b'i^c'9; 

 (5); e'=a"«-<-i"t4-c"0. 

 Eliminando 6, et positis brevitatis caussa 



a-\-cp = h , a'+c'p=^k', a"-hc"p = h", 

 b+cq = k, b'-\-c'q = k', b'^c"q — k"; 

 eiit 



(3); o'=(Ao4-A0 + yC |ro'+2.f Ot + «j" | -f- 



(4); i' = (/*'o-f-A'0+yC'jr 0^ + 25 01 4-n' | 4- 



(5); ff={h"o^Wi)-\-'^c"<iro*'\-ZsoiJ^ti']^'Jr 



