Mijcellanea Curio fa. 71 



thod for extracting the Roots of any Equati- 

 on, which lie publim'd under the Title of, A 

 Numerical Refolution of Powers, &C. Harriot , 

 Oughtred, and others,as well of our own Coun- 

 try, as Foreigners, ought to acknowledge 

 whatfoever they have written upon this Sub- 

 ject, as taken from Viet a. But what the Sa- 

 gacity of Mr. Newton's Genius has perform'd 

 in this bufinefs,we may rather conje&ure (than 

 be fully affur'd of) from that fliort Specimen 

 given by Dr. Wallis in the 94th Chapter of his 

 Algebra. And we muft be forc'd to exped it, 

 till his great Modefty ftiall yield to the Intrea- 

 ties of his Friends, and fuffer thofe curious 

 Difcoveries to fee the Light. 



Not long fince (viz.. A. D. 1690) that ex- 

 cellent Perfon M. Jofeph Raphfon, F. R. S. pu- 

 blifh'd his Vniverfal Analyfis of Equations, and 

 illuftrated his Method by plenty of Examples; 

 by all which he has given Indications of a 

 Mathematical Genius, from which the great- 

 eft things may be expefted. 



By his Example, M. de Lagney an ingenious 

 Profeflbr of Ma therna ticks at Paris, was en- 

 couraged to attempt the fame Argument but 

 he being almoft altogether taken up in ex- 

 trading the Roots of pure Powers (efpeci- 

 ally the Cubick) adds but little about affected 

 Equations, and that pretty much perplex'd 

 too, and not fufficiently ciemonftrated. Yet 

 he gives two very compendious Rules for the 

 Approximation of a Cubical Root; one a 

 Rational, and the other an Irrational one. 

 Ex. gr. that the fide of the Cube aaa\-b, is 

 between 



a 



