PAPER BY MAX MARGULES. 313^ 



^i ^-a a:, a^ a^ 



A: = 2.5 -1.119 -0.745 -0.232 -0.040 -0.004 



7c = 2.7352 -1.14G -0.823 -0.279 -0.053 -0.006 



/^i A /ir, (d, /3^ 



/v=2.5 1.119 -0.448 -0.326 -0.090 -0.013 



A- = 2.7352 1.146 -0.423 -0.370 -0.106 -0.018 



With the value of A: = 2.7352 we obtaia as the sum of the series of 

 sines within the [ ] in the value of a: 



Ou the equator 0.23 



At latitude 30^ 0.50 



At latitude 45° 0.58 



At latitude 60^ 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 cosine of the latitude. For 2C = ^Ig, i. e., for a varia- 

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

 pressure of 0.G4 millimetres at the equator, but 1.6 millimetres at lati- 

 tude 450. 



In order to investigate how the result is afi'ected 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 (&;) = C sin^ co, 



which gives for the determination of a the equations — 



(l-f|)a3-(fc + ^)a,=0. 

 (^3 + ^) fl, - (^2 -f ^ + ^ A;^ a, + Ua, = IcG. 

 (5 + ^)«.-(4 + ^ + fA-)«. + |A-a3 = 0. (11^) 



The ratio -- is given from the first equation, but ^3, ^5, etc., retain the 



same values as before. The second equation determines the value of ai. 

 As before we have — 



r = C sin^ cj sin (h^-(- A) i 



f = C sin {nt -f A) [/ii sin 00 ■\- (3^ sin^ 00 + fi^ sin^ a? + . . .] ] (126) 



For A- = 2.7352 we have — 



/?i = 0.601 A = - 0-l'^2 



/?3 = 0.316 A = - 0.030 



ySg = - 0.566 fin = - 0.003 



