25o Opuscula 



p p p 



Ob (3^ erit jt"" -^ nou >x"' — , neuine x™— uoa > iV, • 



proiiide ob (2) erit x" — noa>N„, sive x" non -^ " ^ " 



&)™ P » 



™/N- . . . "A 



sive jc non><yV — • ent iguur <y Vp— novus limes , quem 



supra nulla erit radix. Et quoniam, superantc u omnem radi- 

 cem, quantitas P, — Nx evadit posiliva, quuni a: = M, erit 



— < 1 , et proiuue m v ~ <^, 



scilicet novus limes minor erit priore. 

 Sit ex. gr. acquatio 



a;3 _ 1 00 a;2 4- X — 1 C' = , 



pro qua methodus lagrangiana exhibet limitem (y=200. For- 

 mula superior praebebit novum limitem 



3, 100. 200-2 ^_io« 



^''^ m> 4-200 <^^^- 



Sumpla vcro co = ij}, eadem formula dabit novum limitem 



3,100.171=4-106 

 '''^ 1713 + 171 <''''''• 



Et sie deinceps, 



Copulanlibus autem banc melhodum cum methodo newto- 

 niana licebit semper cite acccdere radici maximae, quantum 

 quaestio resolvenda postulabit. 



