Incidence

Theorem (Line Uniqueness) If and belong to line and then

    Proof. We will use a direct proof.
    

Theorem (How Lines and Planes Meet) (i) If two distinct lines and meet, their intersection is a single point. (ii) If a line meets a plane and is not contained by that plane, their intersection is a point.

    Proof. We will use the indirect proof method for (i) as follows:
    


We will also use the indirect proof method for (ii) as follows:
    

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Cite this as:
Incidence
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
http://www.libraryofmath.com/incidence.html