249 
the Stability of Ships. 
.... £ a 
evanescent ; the only objection to which is, that it stands in 
the author's page as being explanatory, and illustrative of a 
proposition before delivered : whereas, it is in fact the real pro- 
position for measuring the horizontal stability of vessels ; the 
proposition it is intended to explain being a particular case of 
it, and requiring a condition which scarcely ever takes place 
in the practice of constructing and adjusting ships for sea. 
CASE VIII. 
The sides of a vessel are parallel to the masts above the 
water-line, (fig. 17.) and project outward beneath it. 
In the second Case, (fig. 4.) the sides project outward above 
the water-line, and are parallel to the masts under it. In 
Case viii. the disposition and form of the sides are the reverse of 
the form according to Case 11. If, therefore, the angle of pro- 
jection of the sides under the water, according to Case viii. 
should be equal to the angle at which the sides project above 
the water, according to Case 11. the other conditions being the 
same, the stabilities* of the two vessels will be equal, at all 
equal inclinations from the quiescent position. The solution 
of this case must of consequence be precisely the same with 
the solution of case ii. and need not be here repeated. 
CASE IX. 
The sides of a vessel are parallel to the masts above the 
water-line, (fig. 18.) and are inclined inward beneath it. 
In this case, the position of the sides is the reverse of that 
which is described in Case in. (fig. 6 .) If, therefore, the angles 
at which the sides are inclined inward, according to Case ix. 
• . ' ... f . •• 1 • > . ■ . . 
* Proposition subjoined to Case vii. page 237. 
MDCCXCVIII. K k 
