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Lines and Planes

* Plane: A perfectly flat surface that has no thickness and extends forever in two directions.
* Line: A straight path of points that extends forever in two directions. A line does not have any width or thickness. The word line is often used to indicate a line segment or a ray.
* Line segment: The set of points on a line between any two points on the line, basically just a piece of a line from one point to another that contains all the points in between.

Intersecting straight lines determine a point
          /
         /
--------x-------
       /
      / 
Two points on a line determine a line -------x-------x--------
Three points on a plane determine a plane
     _______________
    /  x           /
   /              /
  /           x  /
 /  x           /
/______________/
Two intersecting lines on a plane determine a plane
     _______________
    /  \           /
   /    \         /
  / -----\-----  /
 /        \     /
/__________\___/
A line and a point not on the line determine a plane
     _______________
    /  \           /
   /    \     *   /
  /      \       /
 /        \     /
/__________\___/
The intersection of a line and a plane is a point (unless the line and plane are parallel or coincide)
     \
    __\ __________
   /   \         /
  /     \       /
 /       *P    /
/_____________/
The intersection of two planes is a line (unless the planes are parallel or coincide)
___  ______________
\   /             /
 \ /             /
  X-------------X
 /_\_ _ _ _ _ _/ \
    \_____________\
 
The intersection of three planes is a point (unless some planes are parallel or coincide)
     _________
 __ |_________|____
\   /        /|   /
 \ /        / |  /
  X--------*  |-X
 /_\        \ |  \
    \________\|___\
    |_________|