﻿0-18 
  

  

  0-16 
  

  

  0-14 
  

  

  0-12 
  

  

  o-io 
  

  

  0-08 
  

  

  o-oe 
  

  

  0-0J 
  

  

  0-0f 
  

  

  6 
  Prof, 
  H. 
  Nagaoka 
  on 
  the 
  Diffraction 
  Phenomena 
  in 
  the 
  

  

  while 
  the 
  remaining 
  terms 
  decrease 
  very 
  rapidly 
  with 
  in- 
  

   creasing 
  values 
  of 
  x 
  ; 
  thus 
  the 
  places 
  of 
  maximum 
  curvature 
  

   will 
  be 
  approximately 
  given 
  by 
  J 
  (x) 
  = 
  + 
  Ji(a?). 
  This 
  equa- 
  

   tion 
  shows 
  that 
  these 
  points 
  lie 
  nearly 
  midway 
  between 
  the 
  

   inflexion-points 
  of 
  the 
  first 
  and 
  of 
  the 
  second 
  set. 
  Thus, 
  if 
  

   the 
  successive 
  inflexion-points 
  of 
  the 
  first 
  set 
  be 
  joined 
  by 
  a 
  

   series 
  of 
  straight 
  lines, 
  one 
  part 
  of 
  the 
  curve 
  will 
  lie 
  to 
  the 
  

   right 
  and 
  the 
  other 
  to 
  the 
  left 
  of 
  the 
  line 
  ; 
  the 
  points 
  of 
  

   intersection 
  of 
  the 
  line 
  with 
  the 
  curve 
  will, 
  for 
  large 
  values 
  

   of 
  x, 
  lie 
  nearly 
  midway 
  between 
  the 
  two 
  points, 
  and 
  nearly 
  

   coincident 
  with 
  the 
  inflexion-points 
  of 
  the 
  second 
  set. 
  

  

  Representing 
  the 
  curve 
  graphically, 
  it 
  will 
  show 
  a 
  succession 
  

   of 
  steps, 
  at 
  nearly 
  equal 
  horizontal 
  intervals; 
  the 
  height 
  of 
  

   the 
  consecutive 
  steps 
  becomes 
  smaller, 
  and 
  the 
  rate 
  of 
  decrease 
  

   diminishes, 
  as 
  we 
  recede 
  further 
  from 
  the 
  axis 
  of 
  y. 
  Fig. 
  1 
  

   shows 
  the 
  curve 
  from 
  x 
  = 
  Q 
  to 
  a? 
  =10 
  ; 
  for 
  larger 
  values 
  of 
  x, 
  

   the 
  curve 
  is 
  given 
  in 
  fig. 
  2. 
  The 
  positions 
  of 
  the 
  inflexion- 
  

   points 
  of 
  the 
  first 
  set 
  are 
  shown 
  by 
  the 
  asterisks. 
  

  

  100 
  

  

  