c ^5 y 



§ XX. 



Exempio huiusmodi partidonis fit fracrio 



Si pro X fcribitur eius valor eo in cafu , quo 

 a;* + 12 :!c + 5 = o , qui erit a? rn — i -j^ 2 V'^ , unde 

 00^ =iz — 3 — 4 t/^ ; habeinus M ^=:=^ "^ 3 -^ a t^^* 

 Ergo ;;; =r= ~ 3 , ;;^' = — 2. Est iS r: i + 2 V^i ; ergo 



^ = I, ^ =2; unde^rz 2(4 + 1) "- ^ * ' 



1 4- a; + at'* 



^= m7h.O = 5'- ^='"^^■"^^^=5 



X •+• x' 



; (i 



1—2 4-4 — 3 ^ . . 



5 — 4 + 4 



%x 



(^» + iix + 5-)C^+2) 



+ 2.V+5 



A^ +&• 



S XXL 



Potest etiam factor qnadratus proponi hac forma: 

 X* — ' "ipx cof.^ •]-/>!,,, cuius fcilicetfactorisx -^cof.^ 

 + V^* cof.'^^— /)^5 five:r-/> (cof^ li: t/cof. ^^. — i> 

 erunc irrationales ob cof. k ^\* Fractiones , quae tales 

 habent factores in den omina tore eodem modo folvuntur, 

 atqueeae, quaehabent factores x* + 2/>a?+j)*4'^*- Sit 



M 



Bx 



V. c. 



(.r* —a/) X cof. «+/>') 5" X* - 2 /' A^ cof. «+/>» ' .y 



Eric turn M -= (^A ^ Bx^S^ P(x^ -<ipx cof. ^ -f /* 



D A 



