the Stability of Ships, 
in the preceding case, by referring to trigonometrical properties, 
it is found that the measure of stability, or 
GZ = 
t 3 sa 
24 Vh 
X 
I — If 45x^1 — cf 
~ If 1 “ 
— ds. 
Let t = 100, d— 13, the inclination of the sides inward, or 
HAQ — 15°, ASH c= 15 0 , SAH = 75 0 , SHA = go 0 : by calcu- 
lating from these data, it is found that GZ == 2.21. 
If the vessel's weight should be 1000 tons, the stability will 
be this weight, acting to turn the vessel at the distance 2.21 
from the axis ; which is equivalent to a force of 44.2 tons, ap- 
plied at the distance of 50 from the axis. 
CASE VI. 
The sides of a vessel coincide with the sides of an isosceles 
wedge, (fig. 9.) meeting, if produced, in an angle BWA, 
which is beneath the water's surface. 
Supposing the sides to be continued till they meet, the ver- 
tical sections will be equal isosceles triangles. BAW repre- 
sents one of these triangles, BA being coincident with the 
water s surface, and cutting off the line BW equal to AW. 
'The angle WBA = WAB is supposed to be given. If the 
vessel should be inclined from the perpendicular, so that the 
water's surface shall coincide with the line CH, the point of 
intersection S must be so situated, that the area or volume im- 
mersed, in consequence of the inclination, that is, ASH, shall 
be equal to the area or volume SBC, which has emerged from 
the water. Previously, therefore, to the construction of this 
case, the position of the point S is to be geometrically deter- 
mined, according to the conditions required. 
