134- EVOLVTIO FOR^^IVLAE 



[«. ^-.3« (n:-^)i^r-^'i'^) (^^)r== 



[§• -^- 3S ('--S)4)(Li-H'-;f)......(^Mf = 



Demonflratio. 



Ex pracccdentc Theorcmate huiiis Teritns ma- 

 nlfefto (cquitiir ciim qiuiclibet hnrum cxprcHionum 

 feorfim aequctur huic : ■ 



'• ~- 3 ("'-')'U(;X,i) (i^) 



quae vnitati vtpote minimo communi diuifori nu- 

 merorum ;;; et ;/ conuenit. Tot igitur huiusmodi 

 cxprtirioncs inter fc iiequalcs exhiberi polTnnt , quot 

 fucrint diuiforcs communcs binorum numerorum 

 pi ct n. 



Coroll. I. 



<?3. Cnm fit hacc fiirmuhi {-) — ;„, idcoque; 

 in i^) ~ I ; expreflloncs nollrac acqualcs fuccindius 

 hoc ^modo rcpraclcntari poffunt : 



[^•^«•3^ m{^j('^n{-:) ii)r= 



[^■-«•3g "Ki)(^-^)(^^) (i)f--= • 



[y---y-2Y:..mii){Ly)iLy) (i)]v 



Etfi enim hic faclorum numerus efl aucflus , tameu 

 ratio compofuionis facilius ia oculos iucurrit. 



CoroU. 



