122 Mr. L. Schwendler on the General Theory 



v= 



dd 



b"= 



a"d» 

 -J' 



/'= 



old' 



/"= 



a"d" 

 ff" ' 



and substituting these values in the expressions for G' and G", 

 we get 



G '* =E " ? ' \c"(a»+ 9 ») + «?'(/ + «*")} \M+j) +*!& + *) V 



a n g l 



G "* =E ' ? ' | C '(«'+y) + «'(y+^)}{5V'+/) + «"(/+^T 

 where 



Put 



and substitute in the first expression 



9 » = kg>, 

 in the second 



* If in these two expressions we put 

 i = ao , 

 and remember that then 



a' = a"=a, 

 d' = d"=d, 



g'=9"=9> 

 and 



c' = c" = c=L+/j, 

 while 



we get 



G'=G" = G = E 



{L(a+g)+2a(g+d)\ . (a+g) 

 the expression of the current which produces the signals (single and 

 duplex) through a perfect line, as was given in the first part of this in- 

 vestigation (vol. xlviii. p. 136). 



