from the Dimensions of Flat Drops and Bubbles. 55 

 the term becomes 



Tx^fi LA 



3L V 2^2/ 



We may use for (a) in this corrective term the value given 

 by the approximate equation (1), 



( K-kyp . 



whence 



'f _ = K.-k 



V-i 



D V2 



Thus the term in question reduces to 



9T • 



3-282L ' 



and the complete equation (2) becomes 



1 2 ' 4^ k) 3-282L ' 

 or 



T = (K-&) 2 + 



D 2 



Or, writing — for the value of the factor ( t — ,, oc , r I in 

 the corrective term, 



T _JK-J^_ 



I> 2(1 + 2K-KJ) 



1 

 To find the value of C we must know that of -?. This is 



shown by Laplace {loc. cit. p. 485) or Mathieu (loe. cit. p. 140) 

 to be equal to 



^ ,— 3 / (f) 4 sin 2 -. 



2 V2a"*^7ra?tan p * 4 ; 



which, when # = L and (£ = 90°, reduces to 



1 /87rL , 1ja1M --+-585788 



r = \/ — r x '4:142136 x e « , 



in which we may use for a the mean value of — j^ found by 

 Prof. Quincke. v Z 



Before giving the numerical results, it is necessary to 



