n8 DE RADICIBVS 



Aequationes I Crkerla 



x m -+- ax 1 "' 1 -*- bx m -*-\-etc.~daa>£~b' 



ax n "-\-zbx m - 7 -\- zcx m -*-\-etc.—c}bb > frf^rrij ao 



bx m "--±-zcx m - z -Jr 6dx m -^ttc. — c}cc > 4 ^~y^^ 



c x m ~ z -\-±dx m -'-\- 1 oex m - 5 -\- etc. = o\dd > ^JSEJi c e 



etc etc. 



II. Pro criteriis fecuncli generis. Retenta fub- 

 ftitutione x—y~\-p aequationis inde refultantis , re- 

 ie&o primo termino confideremus tres fequentes ad 

 eosque criterium modo inuentum bb^l^^Er^ac 

 applicemus , quod hanc aequationem praebebit 



-\-{m-2.)bp^-c\ 



vnde facta euolutione peruenietur ad fequentem con- 

 ditionem 



(aa- ^ b)pp+ ~i (ab- £r\c)p-Y fdj? bb*?> ^T^r 2 ) a c 



_ ~-(ab—^rzkc) . . . 



fiatuatur nunc prz — - — -— - — -—, vt valor pnmi 



membri fiat minimus , obtinebimusque hanc condi- 



i • i. , (m — i)* 



tionem , multiplicando per — — 



Quia iam aa > ^zr, b , conditionem hanc per 

 ^(aa — ^zri b) multiplicare Jicebit; tunc autem fa&a 



euolu- 



