51^ ) o ( 1^ i4^ 



O = «" 4ctr~^ ^ Bttr-^— tf^Ha' — /ct>{<K.Tab.VL 



o = e- ^^'--'^f, BC— =_.. tj, HC^-— /^^f^*. 



O = y» /4y— ' >i^ 7?y»-^— tf< Hy*— /ytf^Ji:. 



O = S^ A^-^ ^ B.S"'--— tf^ H^-^^a ^K. 



&c. 

 Quarum lumma erit 

 o =/r» — Af7-^-'*i* Sfr^-* >ì< H/r^ — //r tf* ;« A 



adeoque 



^r'^= Afr^-' — Bfì^^-^ Hfr^- >ìi Ifr —mK 



Dependet ergo fummatio dignitatum fuperiorum a fumma- 

 tion€ omnium inferiorum , quae vero facile inveniuntuc 

 fubftituendo prò m fucceflive i , z t 3 , 4> &c. fic 

 eiiira erit ^ 



fr = A 



fr^ = Afr 2B > 



fr'^ = Afr- Bfr * 3 C 



/r* = Afr^ Bfr^ >¥ Cfr 4 D 



fr' = Afr^ Bfr^ >{* C/r'" Dfr ^ ^ E 



fr^ = Afr' Bfr^ ^ Cfr^ — Dfr^- ^Efr — 6F 



&C. 



Confequitur hinc , quod omnino notabile videtur, fum- 

 mas quarumcunque dignitatum radicum neceflTario rationales 

 effe , quotiescunque coefficientes A» fi, C &c. rationa- 

 les fuerint, utut radicesipfae maxime fuerint irrationaies. Un- 

 de deducere licet , qua forma radices fìnt exprimendae , ut 

 huic conditioni fatisfaciant. Porro hinc evidens efl fummas 

 quadratorum , cuborum &c. radicum aequationum diverfi gra- 



Vol. ìli T dus 



