422 



PROCEBDINGS OF THE AMERICAN ACADEMY. 



CO 



00. 



oo- 



When a is infinite we have the case 

 which agrees with that already worked 

 out. 



It is seen that when a is in the vicin- 

 ity of unity the correction undergoes 

 large variations. The correction be- 

 comes zero when : 



1 = log 2 + 



3 a 



or a = 1.086 



oo 



g = .212 X h 



00 



00 - 



The value of g corresponding is found by 

 substituting in formula (d) this value of (a) ; 

 which makes 



g = .212 X h 



or approximately as drawn. 



Problem III. 



00 



V = V 



00 



C t = 



CO 



v = 



A 



t = + 00 



B 



D 



t--\ 



E ,- 



dz 

 dt 



Find the capacity per unit length 

 of the following system of conduct- 

 ors. 



The dimensions perpendicular to 

 the paper are all infinite. The 

 Schwarzian transformation for this 

 case is : 



?1_1 "'—1 "3_j 



=c{t-t,y ii-t,y (t-t,y , 



where ti, U, t^ are the values of t, corre- 

 sponding to the three corners D, C, and B, 

 while a-i, tto, a3 are the internal angles of 

 - °° the polygon EDCBA - E at D, C, and B. 



00 



