§02 
Mr. Atwood's Disquisition on 
centre of gravity* of the vessel and contents 
to remain at the same distance from the keel, 
the distance of that centre from the centre of 
the displaced volume will be increased by 2.1 g feet 
and this change will operate to diminish the sta- 
bility. 
2dly. The total weight being less, will have the 
effect of diminishing the stability, in the pro- 
portion of - 34,10 to 2660 
gdly. The breadths of the vessel at the water- 
line are less than before, being the double 
ordinates in the horizontal^ section 10, instead 
of those in the horizontal section 12. By this 
change, the stability will also be diminished. 
4,thly. The volume displaced being less, in con- 
sequence of the diminished tonnage, in the 
proportion of 2 660 to 34,10, the stability will 
be augmented by this change; not in the 
proportion of 2660 to 34,10, but in a propor- 
tion considerably greater; yet not sufficient to 
counterbalance the effect of the alterations by 
which the stability is diminished : on the 
* Let the distance of the centre of gravity of any body, or system of bodies, from a 
given plane, be denoted by the letter D : if weights are taken away from different 
parts of the system, in such a proportion that the sum of the products arising from 
multiplying each removed weight into its distance from the given plane, divided by 
the sura of the removed weights, may be equal to the distance D, the distance of the 
centre of gravity of the remaining weights, from the same plane, will also be the dis- 
tance D : that is, the distance of the common centre of the whole system, from the 
given plane, will not be affected by the removal of any portion ©f the weights, ac- 
cording to the conditions here described, 
f See Appendix. 
