﻿426 
  Mr. 
  E. 
  Cunningham 
  on 
  the 
  Principle 
  of 
  Relativity 
  

  

  Now 
  referred 
  to 
  the 
  original 
  frame 
  of 
  reference 
  the 
  electric 
  

   field 
  was 
  made 
  up 
  of 
  E 
  cosa 
  parallel 
  to 
  u 
  and 
  E 
  sin« 
  

   perpendicular 
  to 
  u. 
  Hence, 
  according 
  to 
  the 
  Lorentz-Einstein 
  

   transformation, 
  referred 
  to 
  axes 
  moving 
  with 
  the 
  electron 
  it 
  

   is 
  made 
  up 
  of 
  E 
  cos 
  a 
  parallel 
  to 
  u 
  and 
  /3E 
  sin 
  a 
  perpen- 
  

   dicular 
  to 
  u. 
  

  

  Thns 
  the 
  total 
  component 
  in 
  the 
  direction 
  of 
  the 
  normal 
  to 
  

   the 
  condenser 
  plates 
  is 
  

  

  E 
  (cos 
  ol 
  cos 
  a! 
  -V 
  ft 
  sin 
  a 
  sin 
  a') 
  

  

  e 
  V»-| 
  

  

  

  The 
  component 
  parallel 
  to 
  the 
  plate 
  is 
  similarly 
  

   E 
  (cos 
  a. 
  sin 
  a! 
  — 
  /3 
  sin 
  a 
  cos 
  a') 
  

  

  \ 
  / 
  1 
  k 
  sill" 
  a 
  

  

  V 
  v 
  

  

  ^ 
  

  

  Ji/ 
  n 
  Sin 
  a 
  COS 
  a-. 
  

  

  V-;V- 
  

  

  " 
  2 
  • 
  2 
  

  

  v 
  2 
  

  

  ±j 
  n 
  — 
  , 
  Sin 
  a 
  COS 
  a' 
  

  

  u 
  v 
  z 
  

  

  a/i-Wi- 
  

  

  w 
  2 
  „ 
  , 
  

  

  -= 
  COS^ 
  a! 
  

  

  The 
  two 
  components 
  can 
  be 
  replaced 
  by 
  two 
  in 
  the 
  

   directions 
  of 
  %i 
  and 
  of 
  the 
  normal 
  to 
  the 
  plate 
  respectively 
  

   of 
  magnitudes 
  

  

  and 
  

  

  ^ 
  V? 
  , 
  

  

  L- 
  n 
  - 
  9 
  COSa 
  

   u 
  v 
  z 
  

  

  

  W 
  2 
  / 
  

   • 
  -=■ 
  COS" 
  1 
  a' 
  

  

  \A-5\A- 
  

  

  w 
  2 
  , 
  

  

  -^COS"a' 
  

   IT 
  

  

  