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Euclidean and Non Euclidean Space?

  1. Jan 22, 2006 #1

    Can someone explain the difference between Euclidean and Non Euclidean Space and how does one classify a space as Euclidean or Non Euclidean?? I heard about Gauss coming up with Non Euclidean Spaces when he was doing surveying of a piece of land. I am wondering what the word 'FLAT' really means??Any examples or references would be appreciated..

  2. jcsd
  3. Jan 22, 2006 #2


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    You know Euclids axioms for geometry, right? Well, a space is Euclidean if and only if all of them hold. :tongue:

    (well, Euclid missed a couple axioms, but you get the point)
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