2  AutoCAD  and  Its  Applications—Advanced  Copyright  Goodheart-Willcox  Co.,  Inc.  plane.  However,  in  3D  drawing,  another  coordinate  axis—the  Z  axis—is  added.  This  results  in  two  additional  planes—the  XZ  plane  and  the  YZ  plane.  If  you  are  looking  at  a  standard  AutoCAD  screen  after  starting  a  new  drawing  using  the  default  acad.dwt  template,  the  positive  Z  axis  comes  directly  out  of  the  screen  toward  you.  AutoCAD  can  only  draw  lines  in  3D  if  it  knows  the  X,  Y,  and  Z  coordinate  values  of  each  point  on  the  object.  For  2D  drawing,  only  two  of  the  three  coordinates  (X  and  Y)  are  needed.  Compare  the  2D  and  3D  coordinate  systems  shown  in  Figure  1-1.  Notice  that  the  positive  values  of  Z  in  the  3D  coordinate  system  come  up  from  the  XY  plane.  In  a  new  drawing  based  on  the  acad.dwt  template,  consider  the  surface  of  your  computer  screen  as  the  XY  plane.  Anything  behind  the  screen  is  negative  Z  and  anything  in  front  of  the  screen  is  positive  Z.  The  object  in  Figure  1-2A  is  a  2D  drawing  showing  the  top  view  of  an  object.  The  XY  coordinate  values  of  the  origin  and  each  point  are  shown.  Think  of  the  object  as  being  drawn  directly  on  the  surface  of  your  computer  screen.  However,  this  is  actually  a  3D  object.  When  displayed  in  a  pictorial  view,  the  Z  coordinates  can  be  seen.  Notice  in  Figure  1-2B  that  the  fi  rst  two  values  of  each  coordinate  match  the  X  and  Y  values  of  the  2D  view.  Three-dimensional  coordinates  are  always  expressed  as  (X,Y,Z).  The  3D  object  was  drawn  using  positive  Z  coordinates.  Therefore,  the  object  comes  out  of  your  computer  screen  when  it  is  viewed  from  directly  above.  The  object  can  also  be  drawn  using  negative  Z  coordinates.  In  this  case,  the  object  would  extend  behind,  or  into,  the  screen.  Study  the  nature  of  the  rectangular  3D  coordinate  system.  Be  sure  you  understand  Z  values  before  you  begin  constructing  3D  objects.  It  is  especially  important  that  you  carefully  visualize  and  plan  your  design  when  working  with  3D  constructions.  PROFESSIONAL  TIP  PROFESSIONAL  TIP  All  points  in  three-dimensional  space  can  be  drawn  using  one  of  three  coordinate  entry  methods—rectangular,  spherical,  or  cylindrical.  This  chapter  uses  the  rectan-  gular  coordinate  entry  method.  Complete  discussions  on  the  spherical  and  cylindrical  coordinate  entry  methods  are  provided  in  Chapter  4.  Exercise  1-1  www.g-wlearning.com/CAD/  Complete  the  exercise  on  the  companion  website.  Figure  1-1.  A  comparison  of  2D  and  3D  coordinate  systems.  Origin  2D  Coordinates  3D  Coordinates  Origin  +Y  +Y  +Z  +X  +X  
