Mr. Atwood’s Disquisition on 
294 
The solid contents of the volume between the 
sections 12 and 2, is measured by the Rule 11. by 
the sum of the nth, 9th, 7th, 5th, and 3d, = P 
the sum of all the other areas - = Q 
the common interval between the areas being 
two feet. 
The solid contents of the volume between 
the sections 12 and 2, is S-f- 4 P + 2 O x — 
= 113791.2 cubic feet. 
The contents of the volume between the sec- 
tion 2 and 1, may be obtained by the Rules 11. 
and hi. For, by the Rule 111. the contents 
between the sections 4 and 1, is found to be = 21733.8 
By Rule 11. the contents between the sections 
4 and 2 is - - - - - — 17012.0 
making the sum of the 12th and 2d areas = S 
Water- 
Lines. 
Areas of the 
Horizontal 
Sections. 
Square Feet. 
12 
6633.6 
11 
6568.4 
10 
6 i 99 -S 
9 
6324.O 
8 
6238.O 
7 
5948.8 
6 
5687.8 
5 
5353-4 
4 
4906.6 
3 
4298.6 
2 
3417-0 
1 
925.0 
62800.5 
Contents between the sections 2 and 1 = 4721.8 
Contents between the sections 12 and 2 = 113791.2 
Contents between the sections 12 and 1 = 118513.0 
To the volume thus determined, the contents of the space 
between the horizontal section 1 and the keel, are to be added. 
To measure this volume, the areas must be first obtained of" 
the 34 vertical sections which are included between the first 
ordinate in each vertical section and the keel ; which areas are 
found, by the methods of mensuration already described, to be 
as in the annexed table. 
