title: Orthographic projection - What is the process converting 3d point to 2d
body: <p>I'm implementing a simple penalty shootout game using actionscript 3.0. The view of the game is similar to view of the old "Sensible World of Soccer". I want to use 3d game logic by using dimension z as I think that it could help me in order to achieve better collision detection - response results. However, I would like to keep the graphics style and view equivalent to old 2d soccers'. Hence, I assume that orthographic projection is suitable for this implementation. Although there is plenty of information in the internet regarding orthographic projection, I'm a little bit confused about how someone can apply it in his/her code.</p>
  
  <p>So my questions are:</p>
  
  <ul>
  <li>Which is the procedure step by step in order for someone to convert a 3d (x, y, z) point to 2d (x', y') point in orthographic projection?</li>
  <li>Can we avoid using matrices? If yes, what are the equations that associate coordinates x', y' with x, y, z?</li>
  <li>Do we have to define a camera position and angle before applying the conversion? In my case, camera will be in a fixed position and angle. </li>
  </ul>