Heights 
in miles 
o,coo 
00,0 
0,01 
40,0 
0,02 
80,8 
0,03 
1 22,6 
0,04 
165,0 
0,05 
CO 
O 
0,06 
- 252,1 
0,07 
298,2 
0,08 
344>5 
0,09 
39 1 >9 
0,10 
44°. 3 
0,11 
4 8 9>7 
0,1 2 
540,6 
0,20 
990,6 
0,30 
1698,1 
0,40 
2641,7 
Semidiameter. 
0,50 
1,00 
0,60 
1,50 
0,70 
2 J 
0,80 
4,o° 
0,90 
9,00 
CO 
On 
Q 
49,00 
0,9836 -p 
62,00 
1,00 
Infinite. 
I 
3069 
69], 
3069! 
3069 1 
3069] 
3069 1 . 
3069 V 
[ 
Volume. 
3 C 
3069 1 
3069' 
3069I 
3009I 
3 o 6 9 ] , 
272 ] 
This table [hews the 
rarefactions cf the atmo- 
fphere at different heights, 
above the furface of the 
earth, upon a fuppofiti- 
on, that the temperature, 
throughout the whole, is 
that which is indicated by 
-j- 40° of bird’s Fahren- 
heit. The middle column 
fhews the heights above the 
furface, correfponding (ac- 
cording to the confiruc- 
tion of the atmofpherical 
logarithmic, §. 2) to the 
decimal parts of the earth’s 
femi- diameter expreffed by 
the numbers in the firfl: 
column j and in the third 
the correfponding rarefac- 
tions, or the proportions of 
the lpaces which a given 
quantity of air would occu- 
py at the different heights, 
are expreffed by the powers 
of the number 3069. 
The principle and method of the conftrudtion of 
this table is obvious. I compute the length of the 
mean femi-diameter of the earth in thoufandths of 
an Englifh fathoms. I divide that number by 100. 
The quotient is the tabular logarithm of the 100th 
root of a number, which is to unity, as the denfity 
at the furface to the denfity at an infinite height, in 
the 
^40 
3069) 
306 o| S ° 
6 ° 
70 
* 1 7 
3OO9I 
3069] 
3069J 90 
3069 1 98 
^T’ 36+ 
3069- 100 
