﻿308 
  Prof. 
  L. 
  T. 
  More 
  on 
  the 
  Localization 
  

  

  If 
  the 
  slide 
  resistances 
  were 
  made 
  of 
  large 
  size 
  so 
  that 
  

   they 
  could 
  carry 
  appreciable 
  currents, 
  recording 
  ammeters 
  

   and 
  voltmeters 
  could 
  be 
  employed 
  to 
  trace 
  the 
  curves. 
  

  

  XIV, 
  Conclusion. 
  ] 
  

  

  We 
  think 
  that 
  if 
  engineers 
  and 
  physicists 
  recognize 
  that 
  

   approximate 
  values 
  of 
  roots 
  of 
  very 
  complicated 
  equations 
  

   can 
  be 
  easily 
  obtained, 
  it 
  may 
  considerably 
  extend 
  the 
  use- 
  

   fulness 
  of 
  theory. 
  Authors 
  are 
  often 
  diffident 
  to 
  publish 
  

   results 
  which 
  can 
  only 
  be 
  utilized 
  when 
  the 
  roots 
  of 
  equations 
  

   of 
  degrees 
  higher 
  than 
  the 
  third 
  can 
  be 
  found, 
  or 
  when 
  

   equations 
  involving 
  miscellaneous 
  functions 
  can 
  be 
  solved. 
  

   In 
  these 
  cases 
  we 
  hope 
  that 
  a 
  knowledge 
  of 
  the 
  methods 
  of 
  

   using 
  logarithmic 
  slide 
  resistances 
  described 
  above 
  may 
  be 
  

   of 
  practical 
  value 
  by 
  showing 
  how 
  the 
  theoretical 
  results 
  can 
  

   be 
  immediately 
  utilized. 
  

  

  We 
  hope 
  also 
  that 
  this 
  preliminary 
  sketch 
  will 
  induce 
  

   others 
  to 
  improve 
  the 
  method, 
  and 
  to 
  apply 
  it 
  to 
  other 
  and 
  

   possibly 
  more 
  practical 
  uses. 
  It 
  seems, 
  for 
  example, 
  par- 
  

   ticularly 
  suited 
  to 
  harmonic 
  analysis 
  as 
  the 
  integrals 
  repre- 
  

   senting 
  the 
  coefficients 
  of 
  sin 
  mv 
  and 
  cos 
  nx 
  in 
  the 
  expansion 
  

   off(x) 
  can 
  be 
  readily 
  found. 
  

  

  In 
  conclusion, 
  we 
  shall 
  quote 
  from 
  the 
  quaint 
  but 
  spirited 
  

   preface 
  to 
  Seth 
  Partridge's 
  book 
  on 
  the 
  slide 
  rule 
  (1671). 
  

  

  " 
  I 
  am 
  sure 
  here 
  is 
  a 
  good 
  Subject, 
  a 
  good 
  piece 
  of 
  Cloath, 
  

   if 
  the 
  Garment 
  be 
  not 
  marred 
  in 
  the 
  making 
  ; 
  if 
  it 
  be, 
  the 
  

   fault 
  is 
  in 
  the 
  botching 
  Taylor, 
  not 
  in 
  the 
  stuffe.'''' 
  

  

  XXXVII. 
  On 
  the 
  Localization 
  of 
  the 
  Direction 
  of 
  Sounds. 
  

   By 
  Louis 
  T. 
  More, 
  Ph.D., 
  Professor 
  of 
  Physics, 
  The 
  Uni- 
  

   versity 
  of 
  Cincinnati 
  *. 
  

  

  IN 
  a 
  paper, 
  written 
  with 
  the 
  co-operation 
  of 
  Dr. 
  H. 
  

   S. 
  Fry 
  t, 
  I 
  published 
  some 
  experiments 
  which 
  indicated 
  

   that 
  the 
  phase 
  relations 
  of 
  sound-waves 
  played 
  a 
  part 
  in 
  

   our 
  determination 
  of 
  the 
  direction 
  from 
  which 
  sounds 
  were 
  

   heard. 
  The 
  experiments 
  had 
  been 
  made 
  some 
  years 
  previously 
  

   and 
  laid 
  aside 
  until 
  further 
  work 
  could 
  be 
  done. 
  They 
  

   certainly 
  showed 
  that, 
  by 
  altering 
  the 
  phase 
  difference 
  of 
  

   the 
  waves 
  entering 
  the 
  two 
  ears 
  and 
  without 
  appreciably 
  

   changing 
  the 
  intensity, 
  the 
  direction 
  of 
  the 
  sound 
  could 
  

   apparently 
  be 
  made 
  to 
  change. 
  The 
  weak 
  point 
  in 
  our 
  

   results 
  was 
  that 
  the 
  sound 
  did 
  not 
  return 
  to 
  the 
  medial 
  

  

  * 
  Communicated 
  by 
  tlie 
  Author. 
  

  

  t 
  More 
  and 
  Fry, 
  Phil. 
  Mag. 
  [6] 
  xiii. 
  p. 
  452 
  (1907). 
  

  

  