﻿122 
  

  

  Mr. 
  J. 
  H. 
  Michell 
  on 
  the 
  

  

  where 
  r'* 
  = 
  (x'-x)*+y' 
  2 
  , 
  

  

  and 
  there 
  is 
  no 
  wave-resistance. 
  

  

  If 
  we 
  add 
  the 
  solutions 
  for 
  an 
  equally-spaced 
  infinite 
  

   number 
  of 
  ships 
  moving 
  abreast, 
  we 
  get 
  the 
  case 
  of 
  a 
  ship 
  in 
  

   the 
  centre 
  of 
  a 
  canal. 
  

  

  In 
  the 
  Table 
  appended 
  there 
  may 
  be 
  an 
  error 
  of 
  1 
  in 
  the 
  

   last 
  place 
  or 
  possibly 
  of 
  2 
  in 
  the 
  values 
  for 
  x>3 
  or 
  4. 
  

  

  Melbourne 
  University, 
  

   August 
  9, 
  1897. 
  

  

  Tables 
  of 
  /cJ 
  — 
  Y 
  and 
  tcJ 
  1 
  — 
  -Y 
  v 
  

   By 
  Mr. 
  B. 
  A. 
  Smith, 
  M.C.E. 
  

  

  •r. 
  

  

  •00 
  

  

  kJ 
  (x)-Y 
  (x). 
  

  

  kJ^-Y^v). 
  

  

  x. 
  

  

  cJ 
  (x)-Y 
  (x). 
  * 
  

  

  :3 
  1 
  (x)-Y 
  1 
  (x). 
  

  

  

  00 
  

  

  00 
  

  

  •41 
  

  

  •9243 
  

  

  2-7384 
  

  

  

  •01 
  

  

  4-7209 
  

  

  100 
  0261 
  

  

  •42 
  

  

  •8972 
  

  

  2-6822 
  

  

  

  •02 
  

  

  40274 
  

  

  50-0453 
  

  

  •43 
  

  

  •8706 
  

  

  2-6286 
  

  

  

  03 
  

  

  3-6215 
  

  

  333951 
  

  

  •44 
  

  

  •8446 
  

  

  25773 
  

  

  

  •04 
  

  

  3-3331 
  

  

  25-0767 
  

  

  •45 
  

  

  •8190 
  

  

  2-5282 
  

  

  

  •05 
  

  

  3-1091 
  

  

  200903 
  

  

  •46 
  

  

  •7940 
  

  

  2-4813 
  

  

  

  •06 
  

  

  2-9258 
  

  

  167695 
  

  

  •47 
  

  

  •7694 
  

  

  2-4362 
  

  

  

  •07 
  

  

  2-7705 
  

  

  14-4002 
  

  

  •48 
  

  

  •7453 
  

  

  2-3929 
  

  

  

  •08 
  

  

  2-6359 
  

  

  12 
  6255 
  

  

  •49 
  

  

  •7216 
  

  

  2-3514 
  

  

  

  •09 
  

  

  2-5168 
  

  

  11-2470 
  

  

  •50 
  

  

  •6983 
  

  

  2-3114 
  

  

  

  10 
  

  

  2 
  4099 
  

  

  101457 
  

  

  •51 
  

  

  •6753 
  

  

  2 
  2729 
  

  

  

  •11 
  

  

  2-3133 
  

  

  9-2459 
  

  

  •52 
  

  

  •6528 
  

  

  2-2357 
  

  

  

  •12 
  

  

  22245 
  

  

  8-4971 
  

  

  •53 
  

  

  •6306 
  

  

  2-1999 
  

  

  

  13 
  

  

  2-1428 
  

  

  7-8645 
  

  

  •54 
  

  

  •6088 
  

  

  2-1653 
  

  

  

  •14 
  

  

  2-0670 
  

  

  73230 
  

  

  •55 
  

  

  •5873 
  

  

  2-1319 
  

  

  

  •15 
  

  

  1-9961 
  

  

  6-8545 
  

  

  •56 
  

  

  •5661 
  

  

  2-0995 
  

  

  

  •16 
  

  

  1-9297 
  

  

  6-4450 
  

  

  •57 
  

  

  •5453 
  

  

  20681 
  

  

  

  •17 
  

  

  1-8671 
  

  

  6-0843 
  

  

  •58 
  

  

  •5248 
  

  

  2-0377 
  

  

  

  •18 
  

  

  1-8079 
  

  

  5-7642 
  

  

  •59 
  

  

  ■5046 
  

  

  2 
  0083 
  

  

  

  •19 
  

  

  1-7517 
  

  

  5-4780 
  

  

  •60 
  

  

  •4846 
  

  

  1-9798 
  

  

  

  •20 
  

  

  1-6982 
  

  

  5-2209 
  

  

  •61 
  

  

  •4650 
  

  

  1-9521 
  

  

  

  •21 
  

  

  1-6472 
  

  

  49888 
  

  

  •62 
  

  

  •4456 
  

  

  1-9251 
  

  

  

  •22 
  

  

  1-5983 
  

  

  4-7779 
  

  

  •63 
  

  

  •4264 
  

  

  1-8988 
  

  

  

  •23 
  

  

  1-5515 
  

  

  4-5855 
  

  

  •64 
  

  

  •4076 
  

  

  1-8732 
  

  

  

  •24 
  

  

  1-5066 
  

  

  4-4094 
  

  

  •65 
  

  

  •3S90 
  

  

  1-8483 
  

  

  

  •25 
  

  

  1-4633 
  

  

  4-2476 
  

  

  •66 
  

  

  •3707 
  

  

  1-8241 
  

  

  

  •26 
  

  

  1-4216 
  

  

  4 
  0983 
  

  

  •67 
  

  

  •3525 
  

  

  1 
  -8005 
  

  

  

  •27 
  

  

  1-3813 
  

  

  3 
  9603 
  

  

  •68 
  

  

  •3346 
  

  

  1-7775 
  

  

  

  •28 
  

  

  1-3424 
  

  

  3-8323 
  

  

  •69 
  

  

  •3169 
  

  

  1-7550 
  

  

  

  •29 
  

  

  1-3046 
  

  

  3-7131 
  

  

  •70 
  

  

  •2995 
  

  

  1-7329 
  

  

  

  •30 
  

  

  1-2680 
  

  

  3-6020 
  

  

  •71 
  

  

  •2823 
  

  

  1-7114 
  

  

  

  •31 
  

  

  1-2326 
  

  

  3-4982 
  

  

  •72 
  

  

  •2653 
  

  

  1-6904 
  

  

  

  •32 
  

  

  1-1981 
  

  

  34007 
  

  

  •73 
  

  

  •2485 
  

  

  1-6699 
  

  

  

  •33 
  

  

  11645 
  

  

  3-3094 
  

  

  •74 
  

  

  •2319 
  

  

  1-6496 
  

  

  

  •34 
  

  

  1-1319 
  

  

  3-2233 
  

  

  ■75 
  

  

  •2155 
  

  

  1-6299 
  

  

  

  •35 
  

  

  1-1000 
  

  

  3-1423 
  

  

  •76 
  

  

  •1993 
  

  

  1-6105 
  

  

  

  •36 
  

  

  1-0690 
  

  

  3-0656 
  

  

  •77 
  

  

  •1833 
  

  

  1-5914 
  

  

  

  •37 
  

  

  1-0387 
  

  

  2-9932 
  

  

  •78 
  

  

  •1675 
  

  

  1-5728 
  

  

  

  •38 
  

  

  1-0092 
  

  

  2-9245 
  

  

  •79 
  

  

  •1518 
  

  

  1-5544 
  

  

  

  •39 
  

  

  •9803 
  

  

  2-8593 
  

  

  •80 
  

  

  •1363 
  

  

  1-5365 
  

  

  

  •40 
  

  

  •9519 
  

  

  2-7973 
  

  

  •81 
  

  

  •1211 
  

  

  1-5188 
  

  

  

  