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M Physics 21: String ~ Circle?

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Posted by kx21 on December 26, 2002 at 18:41:25:

M Physics 21: Line ~ Circle?

String with ZERO Vertices iff Circle with NO Exteriors.

Proof:-

1) Let Face = Edge (~ Color Black ) & Edge = Face (~ Color White)...


2) Given:-

String (e.g. Line) with ZERO Vertices --> F = 1 & E = 1, and

Circle with NO Exteriors -- > F = 1 & E = 1...

i.e. String (e.g. Line) with ZERO Vertices iff Circle with NO Exteriors.


This completes the proof.

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