[ 27 6 ] 
the fame height in the cooler temperature, in the fame 
proportion, as the abfolute elafticity in the greater 
temperature exceeds the abfolute elafticity in the lefs. 
Then I fay firft, that the preffure of the fuperincum- 
bent atmofphere at B, is the fame in both tempera- 
C A* 
tures. For take C/3 = and draw the ordinate 
/3E, cutting the curves in E and H, and through E 
and H draw tangents to the curves, EL, HM, meeting 
the common afymptote, AC, in L and M. Now the 
fubtangents /3L, jGM, are as the abfolute elafticities in 
the different temperatures (by p. 250 .). And /3E, /3H 
are as the denfities at B (by conftrudtion). Therefore 
/3H : /3E=:/3L : jGM. Therefore /3 H x jQ M 
rr /3E x /3L. But the redtangle /3E x /3 L is equal 
to the area intercepted by the ordinate jGE, the curve 
EF, and the alymtote /3C, infinitely produced. 
And the rectangle /3Mx/3H is equal to the area 
intercepted by the ordinate (3 H, the curve HK, 
and the afymptote / 3 C infinitely produced. There- 
fore thefe areas are equal. And thefe areas are as 
the preffures of all the atmofphere above B, in the 
temperatures to which the curves belong, refpec- 
tively. Therefore the preffures in thefe different 
temperatures are equal. ^ E. D. I fay further, 
that the preffure of the fuperincumbent atmofphere, 
at any height below B, is lefs in the greater tempe- 
rature than in the cooler. Let AP be any height 
C A a 
lefs than B, and take C ft — yy, and draw the or- 
dinate pN, cutting the curves in the points N and O. 
-Now/N, /3E being as the denfities at.P and B, in 
5 the 
