All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes > Geometry
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

Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (4)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information