EX QJAmiTATlBlS IRRATIOKALIEVS +3 



Si tuerrt lv.icc aequatio cubica. 

 x'— zaxx-i-za — a 



— 2y 

 erunt cius trcs radiccs fcqucntes : 



x — a-h V ( v _}-y( VV - g f ))_t_V(Y-V(y y-S 1 )) 



A-_-a-i-^--i / (y-f-y(y V -g I j)-^V'( V -y( VV -g 1 )) 



„ =_«-!_£- V( Y -t- V (y y-g 1 ))- _-2__ V(y-V(y y -S J ) ) 

 Qiiod _ nunc hanc acquationcm gcneralcm ad noitrum 

 exemplum .v*-f- 3 -" -f- 6 v — 2 5 __ o aaommodcmus, fiet: 



— 3 „ __. 3 icu a __: — 1 

 3-3?-=^ feu g__-i 

 4 — _y— — 25 feu yzr |» 



hincque V (yy — g 1 ) — n^i • ex quibus terni ipfius x* 

 valores crunt (cquentes : 



v — -i-uy_±ji_ —i— V - r -' , ^s 



v T _ 1 -f- V -- 3 t/ ;o -f- iW ; i_ V— s V zp—.iz V s 



„ x - r j a r ^ 



v — T _ ' — v* — i y ;o -4- 1 Wi 1 -+- V— z y is-nV i 



* . — A ; r - 1 1 r a 



Haec igitur nobis propofita cft quaeftio , vt ex fingulis 

 hisce ipfius x valoribus radices quadratas extrahamus. 



§. 31 Comparetur ergo acquatio propofita .v--f-3 

 .v.v-4- 6.v — 25 — o cum forma generali x* -\-ax* -\-bx 

 H-c-__o fictque : az^S , b—6, et c— — 25 , atque 

 ex his nafcetur fequens aequatio biquadratica : 

 q — 1 2 q* — 200 q -\- 336 — o 



F 2 ad 



