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

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Robin Chapman

Posts: 40
Registered: 10/29/12
Re: Collinear
Posted: May 7, 2013 11:00 AM
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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?
>


Sylvester-Gallai theorem:
http://en.wikipedia.org/wiki/Sylvester%E2%80%93Gallai_theorem



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