s 74 
Mr. Atwood's Disquisition on 
From these ordinates, the area OXE 
is found by the Rule n. to be 
i 59 - 8 39 ° x ~~ = 363.101. 
For obtaining the area DAXE, the ordinates a, b, c, d , &c. 
erected on the abscissa DX, are as expressed underneath : 
The area DAXE, between the ordi- 
nates a and z, is found by the Rule 11. 
to be - - = 1838.760 
The area between the or- 
dinate i and /, before found = 363 .101 
* Entire area DOA =2221.861 
Correct area - =2222.222 
Difference or error of the 
approximation - = .361 
* If the area between the ordinate a and i had been computed by the Rule i. the 
result would have been nearly the same. 
Area between the ordinates a and i, by Rule i, is - 1857.98 
Area between the ordinates i and l , before found, is 363.10 
Entire area DOA - - =2221.08 
Correct area - = 2222.22 
Difference or error of the approximation - - 1.14 
a 
= 30.000 
b 
= 49-34 6 
c 
= 48.624 
t d 
= 47.820 
e 
= 4 6 -9°7 
f 
= 45-851 
g 
= 44-590 
h 
= 43- 01 4 
i 
= 40.88.9 
Sum of all the 
ordinates 
= 417.041 
k 
— 37-495 
l 
= 0.000 
p 
= 10.0000 
9 
= 10.0000 
s 
= 99985 
t 
= 9-9805 
u 
= 7.6730 
V 
= 9.6100 
w 
= 0.0000 
= 37.2640 
