EX QVAXTITATIBVS IRRATION ALIBVS 5* 



y 49 ( - i= __)* — _ ____ 1/ 7 (- i -»-tv— » a 



_t k' 49 (- 1± v '- 1 ) 1 = - ,H - : , V — ' V 7 ( - ____?) 



erit 



^(-_^_l)V-7_:(-^)y7(r-^— 



«t "^ ( - ^/-^) 1 y _ 7 — ( _ !-*-»£_ jy' 7 ( _ __y__j 



His igitur valoribus fubftitutis feptcm illae ipfius i radi- 

 ccs cx aequatione .v 7 — 1 = o , fcu feptem diuerfoe cx- 

 preflioncs , quarum fingularum poteftates feptimae vuita- 

 tem producunt erunt fequentes. 



1 = 1. 



(y-7±(-a-V-3))V 7 (-^) 

 IV ct V = - _B__- bgfci )(y. 7 4. ( __t_y .3 ,) y 7 (. _ta. _i) 



- ( -^y-7±(-^V- 3 ))V7(-=_=i) 



victvii=-^-^(v- 7 ±(--^y-3))W(-^- ) 



§. 4S. Si quis porro progrcdi voluerit , facile dc' 

 finiet octo radices huius aequarionis x — 1 __ , o 



I-_ i _i ; IH— _f-y_i- V=_-f-^^; VII = - I + v - 



11= - ij iv = - y-i; vt-H-^i viii ---^ 



fimili modo ex tribus radicibus cubicis cx vnitate , re~ 

 pcricntur noucm radices acquationis „ 9 — 1=0 dum ex 

 fingulis radicibus cubicis dcnuo ternae radices cubicae 



H _ extra- 



