﻿20 
  Dr. 
  W. 
  M. 
  Hicks 
  on 
  the 
  Michelson-Morley 
  

  

  where 
  

  

  P^rV{V 
  2 
  cos(x— 
  <* 
  + 
  0)— 
  VUcos% 
  + 
  U 
  2 
  sinacos(xH-«)sin(a-^)}^ 
  

  

  or 
  

  

  P^e 
  (V 
  cos 
  6—u) 
  {V 
  2 
  cos 
  (%— 
  «) 
  + 
  v 
  2 
  cos 
  (% 
  + 
  «)} 
  

  

  — 
  (Vsin0— 
  t?){V 
  2 
  sin 
  (% 
  — 
  <x) 
  + 
  uvcos 
  (% 
  + 
  «)} 
  

  

  Q=2V 
  2 
  cos 
  (2^— 
  x) 
  -U 
  2 
  (cos 
  20 
  + 
  cos 
  2a) 
  cos 
  x 
  

  

  + 
  4U 
  2 
  sin 
  a 
  sin 
  ^ 
  cos 
  cos 
  (<j> 
  4- 
  a) 
  

   or 
  

  

  Q=(2V 
  2 
  -U 
  2 
  )cos(2</)- 
  % 
  )+U 
  2 
  {sm(2a 
  + 
  20)smx-cos(2a 
  + 
  x)^ 
  

  

  where 
  it 
  is 
  to 
  be 
  noticed 
  that 
  Q 
  is 
  independent 
  of 
  the 
  

   direction 
  of 
  the 
  incident 
  light 
  and 
  P 
  of 
  the 
  inclination 
  of 
  the 
  

   plate. 
  If 
  the 
  source 
  is 
  fixed 
  in 
  space, 
  0=0. 
  If 
  it 
  is 
  fixed 
  to 
  

   the 
  apparatus, 
  Vsin 
  6— 
  1; 
  = 
  0, 
  and 
  

  

  > 
  W 
  

  

  ^_ 
  U(V 
  2 
  -w 
  2 
  )(Vcosfl--tO{V 
  2 
  cos 
  (%-«) 
  +t?cos 
  (x 
  + 
  ")\Q 
  

   \ 
  ' 
  D 
  L 
  2 
  D 
  2 
  2 
  

  

  8. 
  X%£ 
  Angles. 
  

  

  By 
  § 
  5 
  and 
  writing 
  [a?] 
  for 
  0* 
  1 
  , 
  

  

  (10) 
  

  

  Lira 
  -L-B 
  

  

  9 
  

   — 
  

  

  D. 
  

  

  But 
  

  

  hence 
  r<£ 
  + 
  0-i 
  J 
  

  

  a. 
  r 
  

  

  2 
  L 
  

  

  <£_ 
  

  

  e 
  2 
  = 
  

  

  J]T{ypjq 
  + 
  .[-*}i]}-.[|-f] 
  {v[-4'] 
  

  

  yj_| 
  + 
  . 
  + 
  |] 
  + 
  v{.[-f-|]-^-^-a} 
  j 
  

  

  • 
  • 
  • 
  (H)j 
  

  

  