﻿that 
  of 
  Three 
  Electrified 
  Spherical 
  Conductors. 
  393 
  

  

  Proceeding 
  in 
  this 
  way, 
  we 
  find 
  that 
  as 
  far 
  as 
  the 
  fourteenth 
  

   term, 
  

  

  B 
  a 
  4-C 
  = 
  - 
  a 
  [— 
  ^ 
  + 
  F 
  -^ 
  Ki 
  -^r( 
  6 
  . 
  BKl 
  l 
  .AM 
  u 
  

  

  + 
  c.CIlAlJJ 
  A 
  ' 
  

  

  4-1^- 
  J 
  8 
  ? 
  , 
  *ff 
  2 
  ■ 
  ^7 
  

  

  |_c 
  6 
  . 
  BKi 
  "*" 
  c 
  . 
  Ali 
  . 
  BI 
  2 
  * 
  6 
  . 
  AKi 
  . 
  BK 
  2 
  

  

  ff 
  2 
  7 
  1 
  

   JI 
  X 
  . 
  BL 
  n 
  J 
  

  

  c.CL 
  

  

  ,nf"7_ 
  ffY 
  , 
  *7 
  2 
  , 
  _5%_ 
  

  

  r 
  U 
  c.CIi 
  5. 
  AKx 
  . 
  CK 
  2 
  "*" 
  c 
  . 
  AIj 
  . 
  CI 
  2 
  

  

  7 
  2 
  £ 
  

  

  6.BK 
  

  

  i 
  . 
  UM,J 
  • 
  

  

  Bv 
  continuing 
  this 
  process 
  we 
  may 
  find 
  any 
  number 
  of 
  

   terms 
  of 
  the 
  expression 
  for 
  B 
  a 
  + 
  C 
  a 
  . 
  

   Now, 
  if 
  E 
  is 
  the 
  charge 
  on 
  A, 
  we 
  have 
  

  

  A=B 
  fl 
  +C.+ 
  5, 
  

  

  or 
  E 
  = 
  A*-(B.H-0„). 
  

  

  ••• 
  E 
  = 
  A 
  L 
  a+a2 
  C-4i- 
  + 
  ^K;) 
  

  

  - 
  a 
  ^(b7BK\. 
  AM 
  U 
  + 
  C 
  .CI, 
  1 
  .AL 
  11 
  ) 
  + 
  -] 
  

   Lc 
  i.BKj 
  c.Ili.BI 
  2 
  

  

  « 
  2 
  /3 
  7 
  _. 
  J 
  __ 
  «/3 
  2 
  7 
  

  

  2 
  

  

  b. 
  AKj 
  . 
  BK 
  2 
  T 
  c 
  . 
  CIx 
  . 
  BL 
  n 
  + 
  ' 
  ' 
  ' 
  J 
  

   v 
  L 
  c 
  c 
  . 
  OIi 
  b 
  . 
  AK 
  A 
  . 
  CK 
  2 
  

  

  + 
  c 
  . 
  Ai; 
  . 
  CI, 
  6 
  . 
  BK 
  X 
  . 
  CM„ 
  "*" 
  •• 
  J 
  " 
  

  

  Thus 
  the 
  first 
  terms 
  of 
  the 
  expressions 
  for 
  q 
  u 
  , 
  q 
  l2 
  , 
  yi 
  3 
  

   have 
  been 
  determined 
  and 
  the 
  corresponding 
  terms 
  of 
  (j 
  22 
  , 
  

   <733> 
  <?23 
  may 
  be 
  got 
  by 
  changing 
  the 
  letters. 
  We 
  can 
  get 
  

   the 
  formula 
  for 
  two 
  spheres 
  from 
  this 
  by 
  making 
  b, 
  AK 
  ]t 
  

   BK 
  l5 
  AL 
  U 
  , 
  BL 
  n 
  all 
  infinite 
  and 
  C 
  = 
  0. 
  

  

  