TABLE FOR TRANSMISSION LINE PHENOMENA. 183 



SO that it is seen that 



^/cosha-+l /I , \ 



/(/O = \ TT^ ^ cosh ( - sinh-i hj, (46) 



and likewise 



^(/O = sinh (-sinh-i/iV (47) 



Equations (46) and (47) were used in computing man}- of the values 

 of the table by referring to Aalues of hyperbolic functions given in the 

 Smithsonian Institute Tables. 



16. Extension of Table to Larger Values of h.^ By expansion 

 in series it is easily shown that 



m = \^ |l + ^j, for ^ <<1, (48) 



U(h)= \^|l- ^('f«^^<< 1- (49) 



Cruft Laboratory, 



Harvard University, Cambridge, Mass. 



