271 
the Force of fired Gunpowder.- 
But if, while x increases with an equable velocity from o to 
1000, % is increased with an equable velocity from o to then 
it is every where z to x as to 1000 ; or 10002: = and 
consequently % = - r - ^ ; and when x is -= 1, it is % = T qJoo 
= 0.0004; and whenxis greater or less than 1, it is z= 0.0004a:; 
and z being expunged, the general equation expressing the re- 
lation of x to y becomes j C 1+0 0004 ' c =y ; and this is the equation 
which was made use of in computing the values of y, as ex- 
pressed in the following table. 
In order that the elasticities might be expressed in atmo- 
spheres, the values of y, as determined by this equation, were 
multiplied by 1.841. 
If it be required to express the elasticity in pounds avoirdu- 
pois , then the value of y, as determined by the foregoing equa- 
tion, being multiplied by 27.615, will show how many pounds 
avoirdupois, pressing upon a superficial inch, will be equal to 
the pressure exerted by the elastic fluid in the case in question; 
