( 371 ) 



line) according to this formula is constructed out of its constituents 

 (broken line) for the case : 



A l = A % = A i = A i = l J 



so that the ordinate* of the curve are found simply by taking 

 together the 5 columns of Table X. 



3. The following constants of formulae (1) and (5) are deduced 

 from the data given in Table II (2 nd part), the frequencies for a 

 cloudiness and JO being omitted and the total reduced to 1000. 

 For reasons to be given furtheron, the values of the A„ constants 

 arc not quite in conformity with the expression (6), the sign being 

 inverted and the values divided by u -|- 3, so that ; 



(» + 3) A n = - A' n 



I. East-Monsoon. 



^ = — 0.0554 A x = —0.0519 31 = 0.8416 



,i, = + 0.1690 A, = — 0.1017 a = 1.3654 



(i, = — 0.0095 A 3 = -f 0.1631 b = 1.6428 



^ = + 0.0631 A 4 = — 0.0650 



II. Months of Transition. 



ft, = 0.2136 A, = + 0.2003 21 = 0.7486 



fi a = 0.1999 A, = — 0.0003 a = 2.1470 



(h = 0.0921 A t = + 0.0069 b = 1.0393 



t i\ — 0.0859 A, = + 0.0081 



III. West-Monsoon. 



( i l = 0.4545 A, = + 0.4261 21 = 0.4326 



H 3 = 0.3191 A, = + O.390J a = 3.4001 



fi, = 0.2173 A t = + 0.2584 6 = 0.6502 



m 4 = 0.1683 A 4 = + 0.1299 



In the constants of either formula the differences characteristic for 

 the different seasons are well marked. 



4. In order to examine in how far the results of the computation 

 by means of the frequency -formulae agree with the data, we have 

 to integrate the expressions between the limits x and — 1. 



For the formula (5) in seriesform this offers no difficulty ; from 

 the differential equation: 



(«' ~^)^~ = (n+ 2)(» ! I)i2 /(4a 



d.r 



we readilv find : 



