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I need to prove that every line l is contained by at least 2 planes

  1. Mar 28, 2012 #1
    1. The problem statement, all variables and given/known data
    Use only incidence axioms to prove that every line is contained by at least two planes.


    2. Relevant equations



    3. The attempt at a solution

    1. Let l be any line (Given)
    2. l has at least two points A and B such that l=AB (I-5(4) Each line has at least two points)
    3. Space has at least 3 noncollinear points, that is A,B, and C (I-5(2) Space has at least three noncollinear points)
    4. There exists lines AC and BC (I-1 Each two points determines a line)

    From here I do not know where to go or even if I am on the right track.
     
  2. jcsd
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