14 NILS ZEILON, 
and it follows, after a similar transformation of /', that the sum will 
contain the term: 
x KH 
— k(coth kh! — zi) (coth De ee =) ("| : dz — e" ; d) 
Let us fix the position of y = 0, so as to make 
A" LA 
' l'E 
16 Elg ON UNT 
) 0 | i 0 Ir 
t m 
0 0 
it follows that the correction terms reduce to one only, viz.: 
A AA 
DEN: gi 
== VA NL dé Un: dz) Ares 
0 0 
Here: 
HK 74 x" = 
på =Jede — fo =F 9° P dz — 0 
0 ‘0 0 ‘0 
whence by an easy calculus: 
h 
L Pa E s e)(e-— e) 
0 
lit 
where h = h' + À" is put for the total depth of the fluid, and u = 2 
+ h' is reckoned from the bottom upwards. y is a certain constant, 
which since 
N 3 
is essentially positive. 
From 16) we find: 
oA" kis o" hl ve] a = 0 2 
