74 Jblijcellanea Curiofa. 



And this Formula comes fomething nearer to 

 the Scope, being^ erroneous in point of excefs, 

 as the other was in defeft, and is more accom- 

 modated to the ends of Practice, flnce the Re- 

 stitution of the Calculus, is nothing elfe but 

 the continual addition or fubftra&ion of the 



Quantity — according as the quantity e can 



3 ^ 



he known . So that we fhould rather write 



^^^.-l^: in the firmer cafe, and in 

 3* 



the latter, i*W*"4— • But by either 



%a * 



of the two Formulas, the Figures already 

 known in the Root to be extracted, are at 

 lead Tripled ; which I conclude will be very 

 grateful to all the Students in Arithmetick ; 

 and I congratulate the Inventor upon the ac- 

 count of his Difcovery. 



But that the ufe^of thefe Rules may be the 

 better perceiv'd, I think it proper to fubjoin 

 an Example or two. Let it be propos'd to 

 find the fide of the double Cube, or aaa~\-b is&. 

 b 



Here azzij and - — rr= f 3 &fo ; 4* V* 7 * > or 1 > 

 3 a 



be found to be the true fide nearly. Now, the 

 Cub e of i, 26, is 2, 00037^, and fo 0,63 4- 



oro,6 3l V,3W8oo S 2 



3,78 



91005291:=: 1,259921049895—; which in 13 

 Figures, gives the fide of the .double Cube, 

 with very little trouble, viz.. By one only di- 

 vifion, and the extra&ion of the fquare Root ; 

 when as by the common way of working, how 



much 



