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September 27th, 2010, 05:39 PM  #1 
Senior Member Joined: Apr 2009 Posts: 106 Thanks: 0  Parallel Postulate
For every line l and every point P not on l, there is a unique line m, that passes through P and does not intersect (is parallel to) l. If a straight line intersecting two straight lines makes the interior angles on the same side less than two right angles, then the two lines (if extended indefinitely) will meet on that side on which are the angles less than two right angles. Show that these two postulates are equivalent on the plane. 
September 27th, 2010, 06:43 PM  #2 
Global Moderator Joined: Nov 2009 From: Northwest Arkansas Posts: 2,766 Thanks: 4  Re: Parallel Postulate
Are you having trouble with the logical aspect of showing that two conditional statements are equivalent, or do you need help with the geometric aspect?

September 27th, 2010, 07:19 PM  #3 
Senior Member Joined: Apr 2009 Posts: 106 Thanks: 0  Re: Parallel Postulate
the geometric


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