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Topic: Lines in the plane
Replies: 7   Last Post: Apr 27, 2001 5:21 PM

 Messages: [ Previous | Next ]
 Ahmed Fares Posts: 21 Registered: 12/13/04
Re: Lines in the plane
Posted: Apr 27, 2001 7:05 AM

>Suppose that exactly k of the points lie on the same line
>for some k ( 2 <= k < n ). Then each of the remaining
>n - k points can be paired with each of these points leading
>to (n - k)*k distinct lines. Along with the first line this leads
>to 1 + (n-k)*k lines which is >= n for n >= 3.

You are assuming that each line between one remaining point and one of
the k points contains only these 2 points, this is not true in general
of course.

Ahmed

Date Subject Author
4/26/01 Mike Schubert
4/26/01 Randy Poe
4/26/01 Chris Thompson
4/26/01 clio
4/26/01 S.K.Mody
4/27/01 S.K.Mody
4/27/01 Ahmed Fares
4/27/01 S.K.Mody