﻿1875.] 
  On 
  the 
  Fossil 
  Mammals 
  of 
  Australia. 
  451 
  

  

  four 
  distribution-theorems 
  is 
  the 
  principal 
  object 
  of 
  the 
  present 
  memoir; 
  

   but 
  the 
  memoir 
  contains 
  other 
  investigations 
  which 
  have 
  presented 
  them- 
  

   selves 
  to 
  me 
  in 
  treating 
  the 
  question. 
  It 
  is 
  to 
  be 
  noticed 
  that 
  the 
  theorem 
  

   A 
  belongs 
  to 
  Green, 
  being 
  in 
  fact 
  the 
  fundamental 
  theorem 
  of 
  his 
  memoir 
  

   of 
  1835, 
  already 
  referred 
  to. 
  Theorem 
  C, 
  in 
  the 
  particular 
  case 
  of 
  tridi- 
  

   mensional 
  space, 
  belongs 
  also 
  to 
  him, 
  being 
  given 
  in 
  his 
  ' 
  Essay 
  on 
  the 
  

   Application 
  of 
  Mathematical 
  Analysis 
  to 
  the 
  theories 
  of 
  Electricity 
  and 
  

   Magnetism 
  ' 
  (Nottingham, 
  1828), 
  being 
  partially 
  rediscovered 
  by 
  Gauss 
  

   in 
  the 
  year 
  1840 
  ; 
  and 
  theorem 
  D, 
  in 
  the 
  same 
  case 
  of 
  tridimensional 
  

   space, 
  to 
  Lejeune-Dirichlet 
  : 
  see 
  his 
  memoir 
  " 
  Sur 
  un 
  moyen 
  general 
  de 
  

   verifier 
  l'expression 
  du 
  potential 
  relatif 
  a 
  une 
  masse 
  quelconque 
  homogene 
  

   on 
  heterogene," 
  Crelle, 
  t. 
  xxxii. 
  pp. 
  80-84(1846). 
  I 
  refer 
  more 
  particularly 
  

   to 
  these 
  and 
  other 
  researches 
  by 
  Gauss, 
  Jacobi, 
  and 
  others 
  in 
  the 
  course 
  

   of 
  the 
  present 
  memoir. 
  

  

  "On 
  the 
  Fossil 
  Mammals 
  of 
  Australia. 
  — 
  Part 
  X. 
  Family 
  

   Macropodims 
  : 
  Mandibular 
  Dentition 
  and 
  Parts 
  of 
  the 
  Ske- 
  

   leton 
  of 
  Palorchestes, 
  with 
  additional 
  evidences 
  of 
  Sthenurus, 
  

   Macropus 
  Titan, 
  and 
  Procoptodon." 
  By 
  Professor 
  Owen, 
  C.B., 
  

   F.R.S. 
  Received 
  May 
  10, 
  1875. 
  

  

  (Abstract.) 
  

  

  In 
  this 
  " 
  Part 
  " 
  the 
  author 
  gives 
  additional 
  evidences 
  of 
  extinct 
  genera 
  

   and 
  species 
  of 
  Kangaroos 
  defined 
  in 
  the 
  two 
  preceding 
  Parts 
  (VIII. 
  and 
  

   IX.)* 
  To 
  the 
  Palorchestes 
  Azael 
  he 
  adds 
  characters 
  of 
  the 
  mandible 
  and 
  

   mandibular 
  teeth, 
  and 
  gives 
  a 
  restoration 
  of 
  the 
  entire 
  skull; 
  the 
  pelvis, 
  

   femur, 
  tibia, 
  calcaneum, 
  and 
  principal 
  bones 
  of 
  the 
  hind 
  foot 
  of 
  this 
  

   gigantic 
  species 
  are 
  described 
  and 
  figured. 
  

  

  Of 
  Macropus 
  Titan 
  the 
  author 
  restores 
  the 
  entire 
  skull 
  and 
  femur. 
  

   Of 
  Sthenurus 
  Atlas 
  he 
  describes 
  and 
  figures 
  the 
  incisor 
  teeth, 
  the 
  deci- 
  

   duous 
  dentition, 
  and 
  the 
  fore 
  part 
  of 
  the 
  skull 
  of 
  a 
  young 
  individual 
  : 
  of 
  

   the 
  larger 
  species 
  of 
  this 
  genus, 
  Sthenurus 
  Brehus, 
  the 
  entire 
  skull 
  and 
  

   dentition 
  are 
  restored. 
  The 
  " 
  Part 
  " 
  concludes 
  with 
  the 
  restoration 
  of 
  cer- 
  

   tain 
  bones 
  of 
  the 
  hind 
  foot 
  in 
  a 
  Kangaroo 
  slightly 
  exceeding 
  the 
  largest 
  

   Macropus 
  major 
  in 
  size 
  (indicated 
  as 
  a 
  Macropus 
  affinis), 
  in 
  the 
  Phascolagus 
  

   alius, 
  in 
  Palorchestes 
  Azael, 
  and 
  in 
  the 
  three 
  species 
  of 
  Procoptodon 
  

   (Pusio, 
  Kapha, 
  and 
  Ooliah). 
  The 
  paper 
  concludes 
  with 
  remarks 
  on 
  the 
  

   transitionary 
  character 
  of 
  the 
  latter 
  forms, 
  as 
  bridging 
  the 
  gap 
  between 
  

   the 
  saltigrade 
  and 
  gravigrade 
  groups 
  of 
  phytiphagoLis 
  Marsupialia. 
  

  

  The 
  paper 
  is 
  illustrated 
  by 
  subjects 
  for 
  thirteen 
  plate?. 
  

  

  