MATHEMATICAL PAPERS y 
Take the neareft fecond furfolid root to the firft period of 
the refolvend, and place as many cyphers at it's right hand as 
„there are remaining periods in the refolvend, and call it the af- 
fumed root. Multiply the refolvend by 12, and take 5 times 
the feventh power of the affumed root from the product, and 
divide the remainder by 252 times the fifth power of the af- 
fumed root ; extract the fquare root of the quotient, and add 
the root to 2. of the affumed root, and it will give the fecond 
furfolid root corrected ; which may be repeated and carried to 
the defired accuracy,—tememibering to take, in each operation, 
the laft root for the aflumed root. We will take Wurdexam- 
ple, viz. Extra& the fecond furfolid root from 48298655 3955078125 
Here the neareft root to 3529, is 3, and 39 is the aflumed 
root, lefs Peet 
+ 382986553955078325 (300 
X12 » 
4595838647460937500 
goors = — 1035000000000000000 
5 . e 
oroit EEE E eI Saat on kT ent aE od A 
JOGL Q** * o s 
Ha. 2 
428654. | 
118866 - 
61256 
576304 
sin 541124 
35180 
7.) 319:(. 7 
7 - $9... .250 = F of the affumed root, 
145 819 325 == root, agreeable to Ward. — 
» X2 ScHOLIUM. 
