﻿On 
  the 
  Principle 
  of 
  Relativity. 
  419 
  

  

  perfect 
  membranes, 
  and 
  this 
  is 
  due 
  to 
  two 
  circumstances 
  : 
  

  

  for 
  the 
  first 
  the 
  value 
  of 
  ( 
  V~ 
  I 
  w 
  ^ 
  De 
  greater 
  for 
  a 
  better 
  

  

  membrane, 
  and 
  for 
  the 
  second 
  the 
  reversion 
  point 
  will 
  keep 
  

   more 
  constant. 
  

  

  From 
  the 
  measurements 
  here 
  done 
  we 
  have 
  for 
  the 
  tempe- 
  

   rature 
  coefficients 
  between 
  and 
  11*5 
  : 
  

  

  For 
  C 
  = 
  161 
  

  

  C 
  = 
  320 
  

  

  (^A 
  >o- 
  

  

  00296, 
  

  

  3)„><" 
  

  

  0017. 
  

  

  Thus 
  the 
  temperature 
  effect 
  upon 
  itq 
  is 
  made 
  up 
  of 
  two 
  

   parts, 
  (1) 
  the 
  temperature 
  effect 
  upon 
  the 
  permeability 
  of: 
  

   the 
  membrane, 
  (2) 
  the 
  temperature 
  effect 
  upon 
  osmotic 
  

   pressure; 
  and 
  these 
  two 
  effects 
  counteract 
  each 
  other. 
  

  

  I 
  wish 
  to 
  thank 
  Prof. 
  0. 
  E. 
  Schiolz 
  of 
  Christiania 
  for 
  

   suggesting 
  this 
  work 
  to 
  me 
  and 
  for 
  the 
  interest 
  he 
  has 
  taken 
  

   in 
  it. 
  I 
  should 
  also 
  like 
  to 
  thank 
  Prof. 
  J. 
  J. 
  Thomson 
  for 
  

   allowing 
  me 
  the 
  privilege 
  of 
  continuing 
  the 
  work 
  in 
  the 
  

   Cavendish 
  Laboratory. 
  

  

  XXXIV. 
  On 
  the 
  Principle 
  of 
  Relativity 
  . 
  By 
  Edwin 
  Bidwell 
  

   Wilson, 
  Ph.D., 
  Professor 
  in 
  Mathematics 
  at 
  the 
  Mas- 
  

   sachusetts 
  Institute 
  of 
  Technology 
  *. 
  

  

  IN 
  the 
  present 
  formative 
  state 
  of 
  the 
  theory 
  of 
  atomic 
  

   electricity, 
  when, 
  in 
  addition 
  to 
  the 
  idealized 
  mathe- 
  

   matical 
  electron 
  which 
  is 
  the 
  simple 
  and 
  frequently 
  sufficient 
  

   " 
  point 
  of 
  beknottedness 
  " 
  in 
  the 
  aether, 
  we 
  have 
  the 
  Abraham 
  

   electron 
  spherical 
  and 
  rigid, 
  the 
  Lorentz-Fitz 
  Gerald 
  electron 
  

   deformable 
  under 
  rectilinear 
  motion 
  into 
  an 
  oblate 
  spheroid 
  

   with 
  constant 
  equatorial 
  diameter, 
  and 
  the 
  Bucherer-Langevin 
  

   electron 
  deformable 
  under 
  rectilinear 
  motion 
  into 
  an 
  oblate 
  

   spheroid 
  of 
  constant 
  volume, 
  it 
  is 
  necessary 
  to 
  pursue 
  several 
  

   methods 
  of 
  attacking 
  the 
  problems 
  that 
  arise 
  in 
  connexion 
  

   with 
  the 
  theory 
  ; 
  and 
  of 
  these 
  methods 
  the 
  principle 
  of 
  

   relativity 
  is 
  among 
  the 
  most 
  interesting 
  and 
  powerful, 
  whether 
  

   considered 
  in 
  its 
  mathematical, 
  physical, 
  or 
  philosophical 
  

   import. 
  

  

  * 
  Communicated 
  by 
  the 
  Author. 
  

   2F2 
  

  

  