
#1
Jul3013, 08:43 PM

P: 93

Hey,
Has anybody heard of Euclid's sixth postulate ? It says : Two lines do not contain a space. I don't know why, but I'm only finding this postulate in my things, not anywhere else.... Help ? Thanks 



#2
Jul3013, 08:48 PM

Mentor
P: 16,613

I'm not an expert on Euclidean geometry, but I've never heard of it.
Where exactly did you encounter this? 



#3
Jul3013, 08:50 PM

P: 93

Well, from this source :http://euclides.fr/bibliotheque/eucl...ts/livre_1.pdf
I suppose you speak French, if you're Belgian ? (I think..) 



#4
Jul3013, 08:51 PM

Sci Advisor
PF Gold
P: 1,355

Euclid's sixth postulate
It is purely a modern invention
http://en.wikipedia.org/wiki/Euclidean_geometry 'Some modern treatments add a sixth postulate, the rigidity of the triangle, which can be used as an alternative to superposition.' p 5. Coxeter, H.S.M. (1961). Introduction to Geometry. New York: Wiley. 



#5
Jul3013, 08:53 PM

P: 93

Can someone give me insight on it ? Thank you.



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