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Math Forum » Discussions » Inactive » amte

Topic: Attention geometers: Solution to geometry problem sought
Replies: 3   Last Post: Apr 13, 2000 4:01 PM

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Wayne Bishop

Posts: 4,795
Registered: 12/6/04
Re: Attention geometers: Solution to geometry problem sought
Posted: Apr 13, 2000 9:14 AM
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At 02:57 PM 4/13/00 +0800, you wrote:

>Given a square, choose 4 different points, one from each of the side.
>Obliterate the original square, leaving you thus with a quadrilateral whose
>vertices are the 4 points chosen.

The problem is, you can't. Here's the easiest counterexample I can think of:
Circumscribe your original square and rotate the square a little in the same
circumscribed circle. The resulting square and the original now provide your
counterexample by choosing a point of intersection along each of the four
sides.

Wayne.

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