[FOM] Theorem on Convex sets

joeshipman@aol.com joeshipman at aol.com
Wed Oct 5 15:40:02 EDT 2005

If A contained in B are convex sets in the plane, the boundary of A is 
no larger than the boundary of B.

Is this true in N dimensions, and if so, who proved it?

In 2 dimensions, I have trouble proving the theorem without rather 
advanced tools. Does anyone know a simple proof?

-- Joe Shipman

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