490 Loss of Life at Sea. [October, 
Proof of Proposition stated page 478. 
If, instead of supposing the floating body to be inclined at 
any given angle in smooth water, we suppose the surface of 
the wave to be inclined to the mean surface at an equal 
angle, it will be evident that the reasoning with reference to 
the pressures, pages 73 and 74, will hold good. 
Mr=), Li=a, NM=c,NL=d, NO=X. 
Take the usual formula for the centre of gravity, and in- 
tegrating between the limits c and d— 
ae fxydx 
fyox 
= b.. 
ie 
Fiyds_ hot—d* _ 
yee 3c¢°—d’ 
2c*+cd+d’ 
3  ct+d 
ct+td=24 3(c+d)=72 
c’°+cd+d* 
324+108+ 36= 468 
a(c?+cd+d*) =936 
