﻿216 
  Mr. 
  E. 
  Haigh 
  on 
  Orthobarlc 
  Volumes 
  in 
  

   Dividing 
  both 
  sides 
  of 
  the 
  equation 
  by 
  6, 
  

   30 
  + 
  3-^—2 
  

  

  Substituting 
  — 
  =7r 
  3 
  ~=0, 
  - 
  = 
  ijr, 
  - 
  = 
  <£, 
  

  

  PQ 
  U) 
  r 
  \) 
  r 
  

  

  ,(?)V 
  3m 
  \ 
  

  

  \fj 
  W/ 
  WU 
  J 
  \U 
  «/ 
  \U 
  I*/ 
  WW 
  J 
  

  

  an 
  equation 
  from 
  which 
  y\, 
  can 
  bo 
  found 
  when 
  r 
  and 
  t 
  Q 
  are 
  

   known. 
  

  

  Substituting 
  in 
  this 
  equation 
  the 
  values 
  of 
  p 
  } 
  t, 
  u, 
  and 
  v 
  

   determined 
  by 
  a 
  first 
  observation, 
  

  

  

  M 
  (^ 
  2 
  ) 
  

  

  

  -H, 
  

  

  : 
  1 
  {i6+3/>„-2, 
  /1 
  ^} 
  +(* 
  \- 
  y^-i^i-o-im 
  

  

  '/(K.-H,^) 
  

  

  S 
  1 
  {lG 
  + 
  ;Viru-^i'Vr} 
  + 
  (Ar 
  -2){(yr-^ 
  ] 
  )^-l^r 
  

  

  From 
  the 
  denominator 
  of 
  this 
  fraction, 
  B^ 
  can 
  be 
  

   eliminated 
  by 
  means 
  of 
  the 
  relation 
  

  

  f^A-Bh; 
  .'. 
  B^ 
  = 
  A-/ 
  i; 
  

  

  and, 
  rearranging 
  the 
  terms, 
  

  

  PqVq 
  _ 
  K,— 
  H 
  x 
  ro 
  

  

  B 
  = 
  " 
  (?>JVA 
  - 
  6>A 
  + 
  2/,^ 
  )v 
  2 
  -(9/i 
  2 
  + 
  9/ 
  1 
  A-8^K+(16A+ 
  8/,) 
  

  

  - 
  Lji^-Mivo 
  + 
  Ni 
  v 
  

  

  If 
  the 
  lav? 
  of 
  Cailletei 
  and 
  Mathiaa 
  holds 
  good, 
  B, 
  and 
  

   therefore 
  I'/ 
  1 
  , 
  may 
  be 
  regarded 
  as 
  con-taut 
  j 
  and 
  hence 
  fche 
  

  

  