OF THE STABILITY OF FLOATING BODIES AND OF SHIPS. 



395 



Table of Areas for the thirty -four Vertical Sections. 



Therefore, the sum of all the (a -f- a')"zz 3767.78 ; and the sum of 

 all the (b -f i'yzz 3700.84, and by the conditions of the problem, the 

 vertical sections intersect the principal longitudinal axis at intervals 

 of 5 feet ; therefore, by applying the third of the preceding approxi- 

 mative rules, the solid contents of the volume contained between the 

 planes passing through fk and ki, will be found as follows. 



S= 42.86 + 68.35 zz 1 1 1.21, the sum of the extreme ordinates, 



2pzz(611.82 -f 555.25) X 2= 2334. 14, the 2nd term of the series, 

 or twice the sum of the 4th, 7th, 10th, 13th, &c. ordinates, 



3Qzz(1299.17 -\- 1 190. 33) X 3 zz 7468. 5, the third term of the series, 

 or the sum of the 2nd, 3rd, 5th, 6th, 8th, 9th, &c. ordinates ; 



consequently, by addition, we have 

 S -f 2r -f SQ zz 1 1 1.21 -f 2334. 14 -f 7468.5 zz 9913.85 ; 



* This is the vertical section for which we have exhibited the process of com- 

 putation. 



