[ 1 
CoroL i. Hence the Area of the Se&or N $P may 
be always defined nearly by the Terms of a Cubic 
Equation. 
For the Number n, as conftruded in the former Co- 
rollary, is always greater than the fquare Root of io> 
and confequently *- is always lefs than the Sine of one 
third Part of the given Arch 3 fo that the fourth Term 
with the Sum of all the following Terms of 
the Series, can never be more than a fmall Part of the 
whole Sedor. 
Corol. 3. If iJftahd for 57,29 Degrees* 
(or the Number of Degrees contained in an Angle 
fubtended by an Arch of the fame Length with the 
Radius of the Circle) and M be the Number of De- 
grees in an Angle which is to 4 right Angles, as the 
Area N S P to the Area of the whole Circle ; then will 
Mbc = ityj E=L p nearly, 
for — x— will appear by the Conftrudion to be 
jR 2 
equal to the Senior N S P. 
CASE II. 
If S P be greater than C P, then take an Area H 
equal to the Sum of the Terms in the following 
Series : 
t * i ^ 
py , <-hr!x/ v 2! , 9 <4^Rlx/vi! i , . 
7+ — TP *+ yF - y~ x 7«+ & ' 
and the Area ~ n x H, will be the Sector, as before. 
2 
Ee i 
For 
