4* — — V— -] if — X — itv -\ , &c. •=. o. 
XXX 2 , 
This approximation gives v exad to twice as many 
places as there are true Figures in 2;, and therefore tre- 
bles the number of true Figures in the Expreflion of y by 
z -\-v, which may be taken for a new Value of for 
computing a fecond v, feeking other Values of at , x, x, 
(jrc, Tho’ when z, is tolerably exadl (which it may be 
efteem’d when it contains two or three or more true 
Figures in the Value of y, according to the Number of 
Figures the Root is propofed to be computed to,) the 
Calculation may be reftofd without fo much trouble, 
'z 
X 
2 > X 
only by taking V ~ — — 
X 
^ X 2 , X 

2-. 3a; I, ^ . ^j.x 
inftead 
- X 
of — r 
x“ 
X 
taking every time for v 
its Value lad computed. 
SC X 
From the fame Equation x -\- xv -] -f- 
% I .z. 3 
= o, may be gather’d alfo a rational Form, viz. 
3 
&c. 
V 
For negleding the Terms 
X X 1 . 2.. 3 
Z X 
X 
X 
we have v = r which is nearly — 
. , * X 
« -} V 
There- 
forejn the Divifor inftead of v writing r we have 
B b b b b 
more 
