﻿196 
  Surgeon-Major 
  F. 
  cle 
  Chaumont 
  on 
  the 
  [Jan. 
  28, 
  

  

  Here 
  we 
  see 
  that 
  there 
  is 
  a 
  diminution 
  of 
  value 
  pretty 
  regular 
  up 
  to 
  

   No. 
  3, 
  when 
  there 
  is 
  a 
  rise 
  in 
  No. 
  4 
  and 
  No. 
  5 
  in 
  the 
  temperature, 
  a 
  rise 
  

   in 
  No. 
  4 
  and 
  a 
  fall 
  in 
  No. 
  5 
  in 
  the 
  vapour 
  and 
  humidity, 
  whilst 
  the 
  fall 
  is 
  

   progressive 
  throughout 
  in 
  the 
  carbonic 
  acid. 
  

  

  In 
  each 
  case 
  the 
  result 
  of 
  the 
  combination 
  of 
  4 
  and 
  5 
  gives 
  a 
  number 
  

   which 
  takes 
  its 
  proper 
  place 
  after 
  No. 
  3, 
  except 
  in 
  the 
  temperature. 
  

  

  The 
  following 
  Table 
  gives 
  the 
  values 
  according 
  to 
  the 
  second 
  method, 
  

   viz. 
  as 
  reciprocal 
  of 
  the 
  square 
  of 
  the 
  probable 
  error 
  of 
  the 
  result 
  :• 
  — 
  

  

  No. 
  Temperature. 
  Vapour. 
  Humidity. 
  Carbonic 
  acid. 
  

  

  1 
  5-2716 
  293-93000 
  1-2656 
  16378-2000 
  

  

  2 
  4-1165 
  324-2300 
  0*5318 
  3750-4000 
  

  

  3 
  3-7470 
  281-3300 
  1-0966 
  4148-1000 
  

  

  4 
  3-7100 
  170-000 
  0-5439 
  2307*5000 
  

  

  5 
  1-5839 
  34-2770 
  0-1986 
  674-3000 
  

  

  4 
  &5 
  combined. 
  5-3171 
  195-8300 
  0-7708 
  2957-5100 
  

  

  and 
  the 
  ratios, 
  taking 
  No. 
  1 
  as 
  1000, 
  are 
  : 
  — 
  

  

  1 
  1000 
  1000 
  1000 
  1000 
  

  

  2 
  781 
  1103* 
  420 
  229 
  

  

  3 
  711 
  957 
  867 
  253 
  

  

  4 
  ... 
  704 
  578 
  432 
  141 
  

  

  5 
  302 
  117 
  157 
  41 
  

  

  4& 
  5 
  combined. 
  1008* 
  667 
  609 
  181 
  

  

  Here 
  we 
  see 
  much 
  the 
  same 
  order 
  preserved, 
  except 
  that 
  in 
  two 
  cases 
  

   marked 
  * 
  (Nos. 
  4 
  and 
  5, 
  temperature, 
  and 
  No. 
  2, 
  vctpour^) 
  the 
  amounts 
  

   exceed 
  No. 
  1. 
  It 
  is 
  also 
  observable 
  that 
  in 
  the 
  vapour, 
  humidity, 
  and 
  

   carbonic 
  acid 
  No. 
  3 
  is 
  superior 
  to 
  No. 
  2. 
  In 
  every 
  case 
  the 
  combined 
  4 
  

   and 
  5 
  series 
  is 
  superior 
  to 
  the 
  two 
  singly, 
  being 
  nearly 
  their 
  sum. 
  

  

  In 
  all 
  the 
  Tables 
  it 
  may 
  be 
  observed 
  that 
  the 
  humidity 
  is 
  somewhat 
  

   irregular 
  in 
  relation 
  to 
  the 
  amount 
  of 
  vapour. 
  This 
  may 
  be 
  understood 
  

   from 
  the 
  fact 
  that 
  it 
  is 
  a 
  complex 
  quantity, 
  depending 
  partly 
  on 
  the 
  amount 
  

   of 
  vapour, 
  and 
  partly 
  on 
  the 
  temperature. 
  

  

  If 
  we 
  now 
  seek 
  to 
  get 
  a 
  general 
  expression 
  of 
  the 
  relative 
  values 
  of 
  all 
  

   the 
  observations 
  in 
  each 
  order, 
  we 
  may 
  take 
  the 
  product 
  of 
  their 
  values 
  

   by 
  the 
  different 
  methods. 
  

  

  Table 
  showing 
  the 
  products 
  of 
  the 
  Values 
  of 
  each 
  Order, 
  calculated 
  

   from 
  the 
  Reciprocals 
  of 
  the 
  Squares 
  of 
  Mean 
  Errors. 
  

  

  No. 
  of 
  Order. 
  Product. 
  Eatio. 
  

  

  1 
  1-1720 
  1000 
  

  

  2 
  0-0931 
  794 
  

  

  3 
  0-0256 
  218 
  

  

  4 
  0-0307 
  262 
  

  

  5 
  0-0115 
  98 
  

  

  4&5 
  0-0230 
  196 
  

  

  