Vortex Theory for Bodtes Moving tn Water 
Let [ '(C) be the circulation of V" in some closed circuit 
We consider the following circuits : 
rei ee Se M*%. Me. oe M? M; M: ; 
eo rh ey we 2 2 
C) M M'! M; M, M P 
“1 cai 1 l e} 
(S M' M M M! M! F 
2 e e5 f, f, €2 
G M M! M! M M F 
al 1) it 7) 19 1) 
GC M M! M! M ; 
f as roe & Ty 
G M M' M' M M 
(= ©) e} €2 eo €) 
We have 
Tr" CE, = 0, | (C,) = Qd; T!! (C,) = 0, T"' (C.) = Q, 
The first equality gives 
M3) - #,(Mf) + O(7 ) (5. 17) 
T215 
