jo Miscellanea Curio fa. 



Jl Ne-w^ Exaci and Eafie Method, 

 of finding the Robots of any liqua- 

 tions Generally, and that without 

 any previous Reduction. j3y Edm. 

 Halley. 



r~IpHE principal ufe of the Analytic^ Art ^ 

 X is to bring Mathematical Problems to 

 Equations, and to exhibit thofe Equations in 

 the mo ft fimple Terms that can be. But this 

 Art would juftly feem in fome degree defe- 

 ctive, and not fufficiently Analytical^ if there 

 were not fome Methods,by the help of which, 

 the Roots (be they Lines or Numbers, might 

 be gotten from the Equations that are found, 

 and fo the Problems in that refpect be fohred. 

 The Ancients fcarce knew any thing in thefe 

 Matters, beyond Quadratic^ Equations. And 

 what they writ of the Geometric^ Construction 

 of folid Problems, by the help of the Tarabola, 

 Cijfoid, or any other Curve, were only parti- 

 cular things defign'd for fome particular Ca- 

 fes. But as to Numerical Extraclioh^ there is 

 every where a profound Silence^ fo that what- 

 ever we perform now in this kind, is entirely 

 owing to the Inventions of the Moderns. 



And firftof all, that great Difcoverer and 

 Reftorerof the Modern Algebra, Francis Vieta, 

 about ico Years flnce, Ihew'd a general Me- 



