﻿794 
  Mr. 
  T. 
  H. 
  Laby: 
  A 
  Recalculation 
  of 
  

  

  Table 
  III. 
  

   Closeness 
  of 
  fit 
  of 
  formulae 
  (L 
  and 
  M) 
  to 
  observations. 
  

  

  *°. 
  

  

  A. 
  

  

  2A. 
  

  

  i 
  

  

  t°. 
  

  

  A. 
  

  

  2A. 
  

  

  p. 
  

  

  15 
  

  

  ■0687 
  

  

  i 
  

   G. 
  

  

  2305 
  

  

  ■0169 
  

  

  

  M. 
  

  

  16 
  

  

  ■1213 
  

  

  

  G. 
  

  

  236 
  

  

  - 
  -0046 
  

  

  

  M. 
  

  

  30 
  

  

  •0214 
  

  

  

  G. 
  

  

  245 
  

  

  •0124 
  

  

  

  M. 
  

  

  40 
  

  

  -•0427 
  

  

  

  RY. 
  

  

  236-95 
  

  

  -•0137X4 
  

  

  

  M. 
  

  

  50 
  

  

  -•0318 
  

  

  -•0247 
  

  

  2A/w, 
  

  

  1 
  G. 
  

  

  248 
  

  

  -•0035 
  

  

  

  P. 
  

  

  563 
  

  

  -•0237 
  

  

  G. 
  

  

  255 
  

  

  •0081 
  

  

  

  M. 
  

  

  60 
  

  

  -•0604 
  

  

  G. 
  

  

  256 
  

  

  •0284 
  

  

  

  M. 
  

  

  70 
  

  

  -•0713 
  ~ 
  UUZ1 
  

  

  G. 
  

  

  264 
  

  

  -•0092 
  

  

  

  H. 
  

  

  89-4 
  

  

  •0180 
  

  

  G. 
  

  

  268 
  

  

  •0140 
  

  

  -•0042 
  

  

  P. 
  

  

  ! 
  98-8 
  

  

  •0075 
  

  

  RY. 
  

  

  270-3 
  

  

  -•0050x2 
  

  

  •ZA/tl 
  

  

  H. 
  

  

  ; 
  ii7 
  

  

  •0328 
  

  

  G. 
  

  

  271-5 
  

  

  -•0114 
  

  

  = 
  -•0002 
  

  

  G. 
  

  

  [ 
  129 
  

  

  -0645 
  

  

  G. 
  

   G. 
  

   RY. 
  

  

  277-5 
  

  

  278-5 
  

   280-2 
  

  

  •0040 
  

   -•0157 
  

   -•0056X2 
  

  

  

  H. 
  

  

  154-2 
  

  

  •0092 
  

  

  

  

  G. 
  

  

  157-5 
  

  

  •0032 
  

  

  

  G. 
  

  

  286-5 
  

  

  •0023 
  

  

  

  H. 
  

  

  165-8 
  

  

  •0114 
  

  

  

  G. 
  

  

  295-5 
  

  

  -•0008 
  

  

  

  G. 
  

  

  1765 
  

  

  •0127 
  

  

  

  G. 
  

  

  302-5 
  

  

  •0026 
  

  

  

  H. 
  

  

  177-4 
  

  

  -•0023 
  

  

  

  G. 
  

  

  309-5 
  

  

  •0051 
  

  

  

  RY. 
  

  

  183-4 
  

  

  -0142X4 
  

  

  -•0059 
  

  

  2A/w 
  

  

  G. 
  

  

  315-0 
  

  

  •0232 
  

  

  

  H. 
  

  

  184-7 
  

  

  0147 
  

  

  

  

  

  

  G. 
  

  

  188-0 
  

  

  •0198 
  

   -•0027 
  

  

  

  

  

  

  H. 
  

  

  1904 
  

  

  = 
  -•0004 
  

  

  

  

  

  

  H. 
  

  

  203 
  

  

  •0164 
  

  

  

  CG. 
  

  

  356-7 
  

  

  •0000 
  

  

  

  H. 
  

   G. 
  

  

  2069 
  

   207 
  

  

  •0079 
  

   -•0236 
  

  

  

  C. 
  

   Y. 
  

  

  400 
  

   443-9* 
  

  

  •0083 
  

   -•0084 
  

  

  2A=0 
  

  

  RY. 
  

  

  222-15 
  

  

  -•0096X3 
  

  

  

  C. 
  

  

  450 
  

  

  •0001 
  

  

  

  G. 
  

  

  224-5 
  

  

  •0130 
  

  

  

  

  

  

  

  I£» 
  the 
  formulae 
  L 
  and 
  M 
  fitted 
  the 
  observations 
  perfectly, 
  

   XA 
  would 
  be 
  zero, 
  while 
  actually 
  2A/n 
  (where 
  n 
  is 
  the 
  

   number 
  of 
  observations 
  in 
  each 
  group) 
  has 
  the 
  values 
  —'0021 
  , 
  

   -•0004, 
  --0002, 
  and 
  0. 
  Are 
  these 
  sufficiently 
  small? 
  

   When 
  it 
  is 
  noticed 
  that 
  the 
  average 
  value 
  of 
  A 
  is 
  *0215, 
  it 
  

   will 
  be 
  seen 
  that 
  no 
  real 
  gain 
  is 
  made 
  by 
  decreasing 
  2A/n 
  : 
  

   the 
  accuracy 
  of 
  the 
  observations 
  does 
  not 
  warrant 
  any 
  efforts 
  

   to 
  obtain 
  more 
  closely-fitting 
  formulae. 
  

  

  It 
  is 
  worthy 
  of 
  remark 
  that 
  the 
  formula 
  L, 
  whose 
  constants 
  

   were 
  determined 
  from 
  p 
  at 
  16°, 
  270°, 
  and 
  356°*7, 
  was 
  after- 
  

   wards 
  found 
  to 
  fit 
  the 
  existing 
  observations 
  to 
  450° 
  ; 
  and 
  it 
  

   does 
  not 
  differ 
  from 
  them 
  as 
  much 
  as 
  they 
  differ 
  from 
  one 
  

   another 
  between 
  16° 
  and 
  700°, 
  which 
  shows 
  how 
  well 
  a 
  

  

  _ 
  * 
  Young's 
  two 
  observations, 
  443°-15 
  2896-9 
  mm. 
  and 
  443°-9 
  2904-5 
  mm., 
  

   give 
  443°*9 
  2916*2 
  mm. 
  on 
  combining 
  them 
  ; 
  this 
  mean 
  is 
  used 
  here. 
  

  

  