the Stability of Ships. 303 
whole, these alterations will diminish the sta- 
bility of the vessel, when inclined to a given 
small angle, in the proportion of about* - 100 to 6 j 
In this estimate, the vessel's centre of gravity has 
been supposed to remain at the same distance 
from the keel at which it was situated in the 
Cuffnells, and consequently more remote from 
the centre of the displaced volume by 2.19 feet: 
suppose the vessel's centre of gravity to be de- 
pressed 2.19 feet, by altering the distribution 
of the lading and ballast, so as to be at the 
same distance from the centre of the displaced 
volume, as in the Cuffnells ; the effect of this 
alteration will be entirely additive to the sta- 
bility, which will be increased in the propor- 
tion of 47 to 10a 
An increase in the proportion of 47 to 100, com- 
bined with a diminution in the proportion of 
100 to 6 y, is, on the whole, an increase of 
stability, in the proportion of 47 to 67, or about f 7 to 10 
It might be difficult to depress the vessel's centre of gravity 
* The subject of these observations being the relative stabilities of the two vessels, 
they are supposed to be inclined from the upright to the same angle, which may be 
assumed of any magnitude, either great or small: the latter supposition is here 
adopted, which is well suited to the purpose of general illustration. But nothing can 
be inferred from these results, respecting the stabilities, when the angles of inclination 
are considerable ; which are to be obtained from computations founded on the methods 
which have been described in the preceding pages. 
f This proportion might have been immediately inferred from one computation 
only ; but, by calculating the effects of diminishing the vessel’s weight separately, the 
increase and diminution of stability, arising from the alteration of the several con- 
ditions, are more distinctly expressed. 
