[ z8 s ] 
will be a height above the earth's furface, namely, 
B a t which the denfities, in both tempera- 
tures, will be the fame. And it is evident, that this 
height is given, if AL be given. But AL is given, 
by the preceeding problem, if the fubtangents AH, 
AK be given in magnitude, and the proportion of 
AC to AF be given. But if each temperature be 
given, each fubtangent is given (by fed. 5. prob. 3.) 
and the proportion of AC to AF will be given by. 
the barometer, (left. 5. prob. 4.) 
EXAMPLE,. 
*744> 
B rs ob- 
ferved. 
Tr 
in. 
T r 
out. 
B rs reduced 
to common 
Denfities, by 
§. 5, prob. 4, 
d 
h 
— 
— 
— 
temperature 
• - 
March 26 
if 
3 °’ 1 7 
5 4 
6 f 
3 °> H 6 
X 3 79°4 
April 2 
6 
2 9>37 
5 6 
48 
29,37 
438039 
Hence D — 0.0004080 = 4,08 fathom. 
Bat p — 8. 5 — 21. q — 449. j + 470. i — 'p ~ 13.. 
and =■• 36, 1. 
s — p J 
Therefore by formula 2d, AH = 150 fathom ; and 
at a height, infenfibly greater, the denfity was the 
fame in both conflitutions-of the atmofphere. 
7. It is manifefl , that the changes of derfity above 
and below the height where it remains unaltered , are 
contrary . If the lower denfties are dimini feed , , the 
higher ones are lucre afed, and vice ve v s !a. Not with fta.nd- 
ing the mathematical evidence of hefe conclusions, 
I am perfuaded, it will appear many a phyjical 
pt rad ox. 
