Mr. Atwood’s Disquisition on 
the intercepted side of the vessel : for, observing the notation 
already described, and applied to the areas BDNc. 
s = 41 A 3 
P= 1188.83 
Q = 247048 
The solid contents of the volume between the planes DB, 
DN, and the intercepted side of the vessel, 
is = S + 2P-f3Qx~ = i 8432 
Volume between the planes 
DA, DW, and the inter- 
cepted side of the vessel = 18587 
Difference - = 155 cubic feet. 
The area of the section passing through all the lines CDW, 
is found from having these lines given by mensuration, and the 
common interval of 5 feet between them. This area is = 7106 
square feet. The distance DY * between the plane NW and the 
plane CH, which coincides with the water-section, when the 
vessel is inclined 30° from the upright, is ~~~ = .022 parts 
of a foot, and the distance DS-f — - ;° 22 - b - = .044 parts of a foot, 
or little more than \ an inch : a quantity of which it is unne- 
cessary to take any account in this construction. J 
When, therefore, the vessel is inclined from the perpendicular, 
through an angle of 30° round the longer axis, the water’s sur- 
face will pass through the middle point D of the line BA, in all 
* Page 283. f Ibid. 
1 The form of the sides above and beneath the water line, in this vessel, causes the 
points D and S almost to coincide ; but, in vessels differently formed the distance of 
these points is often considerable. The present instance points out the method of com 
structing the line DS, as distinctly as if it was of greater, magnitude,. 
