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Topic: Collinear
Replies: 9   Last Post: May 8, 2013 1:12 PM

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Barry Schwarz

Posts: 177
Registered: 3/13/08
Re: Collinear
Posted: May 7, 2013 12:05 PM
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On 07/05/2013 08:48, William Elliot wrote:
> Let C be a collection of n points with the property that
> any line L with two points of C on it, has a third point
> of C on it.
> How is it that C is collinear, ie all points of C are
> on a single line?

The assertion is not true if points are allowed to be coincident. For
P1 = (0,0)
P2 = (1,0)
P3 = (2,0)
P4 = P5 = P6 =(1,1)

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