PAPER BY MAX MARGULES. 313 



With the value of Jc = 2.7352 we obtain as the sum of the series of 

 sines within the [ ] in the value of e : 



On the equator 0.23 



At latitude 30° 0.50 



At latitude 45° 0.58 



At latitude 60o 0.51 



Therefore the variation of pressure has a maximum in the neighbor- 

 hood of 45° when we assume the variation of temperature to be pro- 

 portional to the cosiue of the latitude. For 20 = 273, *• <?., for a varia- 

 tion of temperature of 1° at the equator there results a variation of 

 pressure of 0.64 millimetres at the equator, but 1.6 millimetres at lati- 

 tude 45°. 



In order to investigate how the result is affected when we assume 

 that the temperature amplitude diminishes more rapidly from the 

 equator to the pole, we will carry out the computation for still another 



case, namely— 



A (go) = G sin 3 &?, 



which gives for the determination of a the equations — 



( 1 + s)--(* + b)*=°- 



(5Hj)« 7 -(4 + £ + ?*)a. + ffcb = 0. < llft > 



The ratio — is given from the first equation, but q 3 , q 5 , etc., retain the 



same values as before. The secoud equation determines the value of a x . 

 As before we have — 



t = C sin 3 go sin (nt -|- A) ) 



€ = G sin (nt + A) [fa sin go + fa sin 3 go + fa sin 5 go + . . .J J (126) 



For Jc = 2.7352 we have— 



fa = 0.601 fa = - 0.172 



fa = 0.316 fa=~ 0.030 



fa = - 0.566 fax = ~ 0-003 



