Deep Water Slap-Waves. 



739 



6as Sr lo «W«) 



a a 



.v= 6 



(79) 



This we find by applying § 15 above to the periodic function 

 represented by the second member of (78). 



The equality of the two members of (78) is illustrated by 



Fig. 11; 0=5. 



fig. 11 ; in which; for the case e = '5 and consequently, by 

 (79), &/a='1103; the heavy curve represents the first 

 member, and the two light curves represent two terms of the 

 second member; which are as many as the scale of the diagram 

 allows to be seen on it. There is a somewhat close agreement 

 between each of the light curves, and the part of the heavy 

 curve between a maximum and the minimum on each side of 

 it. Thus we see that even with e so small as '5, we have a 

 not very rough approximation to equality between successive 



