FOR HIGH LEVELS IN THE EARTH's ATMOSPHERE. 45 



where T^ expresses the corrected temperature. By ehminating v from these last two 

 equations it is found that 



T= ^ 



'r-p_0.377r/' 

 By subtracting T from both members this gives the correction 



_ ^ 0.377r/T 



rp rp _^ «/ 



•'r ^ -p_0.377r/' 



which by translating the above temperatures from the absolute to the Fahrenheit 



scale, may be written 



0.37 7r/(< + 459.4) 



^-<= p_0.377r-/ ' ^^^^> 



where t, is the " virtual temperature " of Guldberg and Mohn on the Fahrenheit scale. 

 For purposes of tabulation we make r = 1 in equation (20), thus obtaining as the cor- 

 rection for saturated air 



_ 0.3 77/- (<+ 459.4) 



Table 7 gives ti — t for each inch of the mercurial barometer and each Fahren- 

 heit degree. In order to derive tr — t from t^ — t and r, the approximate formula 



suffices. Table 8 gives tr — t for each five per cent, of relative humidity and each 

 half degree of the quantity ti — t. 



