Pi. en and Lee 



A =- ' Re. fdx [ (*_ + 4^0, )♦, d>E 

 53 u> 2 J / / 5n j a; 3n 3 



f -i 4) 



where / means an integral over the length of the body from the 



aft to the fore perpendicular. From Equation (71) we have 



= _ j oj n + Un, = join, (x + )= -(x + — — ) „ 



Y 5n J 5 3 J 3 v jw /v j <*> ' ^3 n 



Thus, 



A_ = ^- Re 



. / dx / (-x+— )<b dl 

 L c(x) 



-/«*< {-£ Re j / <"3 «>3n d } 



+ 4 {- - P - Im. [ d*ffo 0, d£ 

 0)2 \ w j J Jf 3 3n 



■/ 



c(x) 

 x a 33 (x) dx + -^- B 33 



where 



l„ (x) = - -V Re. / 0_ 0_ d^ 



33 uK j/ 33n 



Similarly, we can show, using Equation (75), that 



53 o) 



/ dx / (0. +-^-0. )0, de 



J / / 5n jo> T 3n 3 



(-x +-H- ) 0, 0, d 



j o> 3n T 3 



^xb 33 (x)dx-U |-_^Re.jdxJ0 3 3n df} 



I c(x) 



xb 33 (x)dx - U A 33 



33 a, j^ 3^3n 



534 



