Vortex Theory for Bodtes Moving tn Water 
Because of the discontinuity of the left-hand side through dy , this 
equation can be written in the form : 
i, AT'(M) “ cont fron ddu(M') = 
where M is located on > 
This is a Fredholm vectorial equation of the 2nd kind which 
is quite analogous to (3.9) in _spite of the fact that the condition to 
be verified concerns the side AGE instead of the side ie 
First one observes that this equation is singular, since the 
left hand side vanishes when T'(M) = Any, A_ being a constant. 
The right-hand side must therefore satisfy a possibility condition. 
MM' 
Gof Gera on m) dD (M) = 0, 
II. sie oa 
e 
one must have 
M') 
I mim.) | ate fff, aM ap,()| adi(M,) = 0. (5.8) 
a 
This condition is obviously fulfilled since the latter expression is 
equal to 
Zl 
