•-^.1 ) 9 ( l?S- 



Theorema III. 



$. 10. Si fuerit x x — 2 x cof. u -4- i r= oi tum 



ttiam omnes fun&ioties fra&ae vationaks femper ad formam 

 fimpJicem a x 4- (3 reduci pojfunt» 



Demonflratlo. 



Sit enim propofita fundlio qnaecunque fradio -^, 

 atque adhibita noftra redudione prodierit 



P — Ffa-^"/-") -I- G et ^ — /J^^=?Aw) ^ ff . 



Jin. w ' t — jin. u • 6 > 



ita vt pcruenerimus ad hanc fraiflionem; 



lam vt ipfam litteram x cx denominatore expellamus, 

 multiplicemus tam numeratorem quam denominatoretn 

 per formulam ^-^.f^^-^i ^c cnim, ob 



(a- — cof. w)' — — fin. w% 

 pro dcnominatore reperiemus; —ff—gg', at Tero pro 

 jiumeratorc: 



vnde mutatis fignis forma noftrae fradionis erit 



p (Fg-/G) (x-co/.a3) ^_ F y 4_ G 5 



_- - ff^gg • 



£uc concinnius : 



P~~//-T-£g* /«n.w ^//-*-££* 



A^aAiad,Imp.Sf,Tom,V,P,l B Pro- 



