524 ON THE EXPLOSION OF THE BOILER 
of the explosion, was sufficiently large to con- 
tain all the cubic feet of steam, generated between 
the time of the explosion, and the final discharge 
of the water, at the top of the fire-box; and 
that the accumulation of all these cubic feet of 
steam had the same density, before the explosion, 
as that of the steam, which caused the explosion ; 
for, on this supposition, the density of the steam 
will decrease continually, as it issues from the 
aperture; and, that decreasing density of the 
steam will correspond nearly with the generation 
of steam of decreasing density, during the time 
that the Engine is in motion. On this suppo- 
sition, the space occupied by the steam, in the 
boiler, at the time of the explosion, becomes an 
unknown quantity. 
With these assumptions, the last Theorem 
may be resumed; and we have, from Art. 9, 
galing A Zot _ St, where 2 becomes an unknown, but 
# Be 
determinate, constant quantity. 
Awu 
212 AN AL 
ada (*D?+-') =D (1 +-5 ) 
But, by Art. 10. pt= pa 
D 
yaa log. Ke by Art. 9 > 
