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Trapped! (Posted on 2004-02-19) Difficulty: 4 of 5
Choose any four points in a plane, such that no three are collinear and the four do not lie on a circle.

Show that one of the points must lie within the circle formed by the other three.

See The Solution Submitted by DJ    
Rating: 4.4444 (9 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: 'Within' includes 'on'? | Comment 3 of 9 |
(In reply to 'Within' includes 'on'? by e.g.)

If you also accept straight lines as zero curvature circles (i.e., of infinite radius, with the center at infinity) then you can also do without the condition about the points not being collinear...
  Posted by Federico Kereki on 2004-02-19 15:09:40

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