422 



PROCEBDINGS OF THE AMERICAN ACADEMY. 



oo 



oo. 

 oo- 



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 

 larse variations. The correction be- 

 comes zero when : 



1 = log 2 + 



3« 



or a — 1.086 



00 



.212 X h 



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 



C t = 



00 ■ — 



V = V 



00 



v-a 



A 



t = + oo 



15 



t = a 



D < = 



E 



t = 



CO 



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: 



°i 



Tt =c (l - llY 



— 1 



2 -l 



a 3 



(t-t 2 y (t-t 3 y 



where t i} U, t s are the values of t, corre- 

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

 while a 1} a 2 , a 3 are the internal angles of 

 ™ the polygon EDCBA — E at D, C, and B. 



