﻿JAN. 
  19, 
  1922 
  

  

  LAMBERT 
  : 
  LATITUDE 
  OP 
  URIAH 
  

  

  31 
  

  

  of 
  the 
  zero. 
  Table 
  1 
  shows 
  the 
  result 
  of 
  taking 
  these 
  means. 
  They 
  

   are 
  also 
  shown 
  graphically 
  in 
  figure 
  2. 
  

  

  Instead 
  of 
  adjusting 
  a 
  straight 
  line 
  to 
  the 
  means 
  by 
  eye 
  we 
  may 
  do 
  

   it 
  by 
  the 
  method 
  of 
  least 
  squares. 
  The 
  observation 
  equations 
  would 
  

   then 
  be 
  written 
  in 
  the 
  form 
  

  

  A(f) 
  = 
  x 
  -\- 
  yt, 
  

  

  TABLE 
  1. 
  — 
  Mean 
  Value 
  op 
  A<l> 
  for 
  Ukiah 
  

  

  1000 
  

  

  190.5 
  

  

  1910 
  

  

  1915 
  

  

  Fig. 
  2. 
  The 
  latitude 
  of 
  Ukiah, 
  California, 
  means 
  by 
  14-month 
  periods 
  and 
  line 
  showing 
  adjusted 
  

   rate 
  of 
  increase; 
  derived 
  from 
  Dyson's 
  curves. 
  

  

  where 
  t 
  is 
  the 
  time 
  reckoned 
  from 
  some 
  convenient 
  epoch, 
  x 
  is 
  the 
  

   adjusted 
  value 
  of 
  A^ 
  at 
  the 
  epoch, 
  y 
  is 
  the 
  adjusted 
  rate 
  of 
  change 
  of 
  

   the 
  mean 
  latitude, 
  and 
  the 
  A<^ 
  represents 
  one 
  of 
  the 
  values 
  of 
  A<^ 
  in 
  

   the 
  table. 
  The 
  result 
  of 
  the 
  adjustment 
  gives 
  for 
  the 
  equation 
  of 
  the 
  

  

  