February 10th, 2014, 10:29 PM  #1 
Newbie Joined: Jan 2014 Posts: 16 Thanks: 0  Line segment
If (line segments) in a metric geometry, prove that and How can I prove this? 
February 11th, 2014, 12:41 PM  #2  
Global Moderator Joined: May 2007 Posts: 6,527 Thanks: 588  Re: Line segment Quote:
 
February 11th, 2014, 01:45 PM  #3 
Newbie Joined: Jan 2014 Posts: 16 Thanks: 0  Re: Line segment
Well, the book didn't elaborate on that. I assume since it didn't elaborate then A=D and B=C is not applicable.

February 12th, 2014, 03:51 PM  #4 
Global Moderator Joined: May 2007 Posts: 6,527 Thanks: 588  Re: Line segment
How is line segment defined in the book?

February 13th, 2014, 04:45 AM  #5  
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: Line segment Quote:
 
February 13th, 2014, 05:26 PM  #6 
Newbie Joined: Jan 2014 Posts: 16 Thanks: 0  Re: Line segment
The definition I have, in the book, for line segment is: If A and B are distinct points in a metric geometry then the line segment from A to B is the set Where P is the set of points and ACB means that the point C is between A and B. 
February 15th, 2014, 12:19 AM  #7 
Newbie Joined: Jan 2014 Posts: 16 Thanks: 0  Re: Line segment
Do you have any idea on how I can prove this?

February 15th, 2014, 12:44 AM  #8 
Global Moderator Joined: Dec 2006 Posts: 19,059 Thanks: 1619 
What exactly does mean, i.e., what does "between A and B" mean?

February 16th, 2014, 02:46 PM  #9 
Newbie Joined: Jan 2014 Posts: 16 Thanks: 0  Re: Line segment
C is between A and B if the distance 

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