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A CHALLENGE

Name: Anonymous 2006-08-20 12:55

PROVE THAT EACH CLOSED SIMPLE PLANE CURVE HAS AT LEAST 4 POINTS WHERE THE CURVATURE VANISHES

Name: Anonymous 2006-08-20 13:07

Erm, any closed simple plane curve... like a circle for example? You must be missing a hypothesis somewhere.

Name: Anonymous 2006-08-20 13:10

Circle?
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