Euclidean and Non Euclidean Space?

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Hi

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..

Regards
Shankar
 

Answers and Replies

  • #2
Hurkyl
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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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