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Tag Name "Euclidean" (7)

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Not that the propositions of geometry are only approximately true, but that they remain absolutely true in regard to that Euclidean space which has been so long regarded as being the physical space of our experience.
Arthur Cayley
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The concept of congruence in Euclidean geometry is not exactly the same as that in non-Euclidean geometry. ...Congruent means in Euclidean geometry the same as determining parallelism, a meaning which it does not have in non-Euclidean geometry.
Hans Reichenbach
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The once-surprising existence of non-Euclidean models of Euclid's first four axioms can be seen as a sort of mathematical joke.
John Allen Paulos
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But I still read Shaw on a regular basis. What I love is the nakedness of the polemic and the irresistible good humour. For me, 'Major Barbara' is the greatest of all the plays in that it starts from the rational and proceeds to the ecstatic in a spectacular way, and leaves you very confused if you cling to Euclidean logic.
Tony Kushner
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...the differential element of non-Euclidean spaces is Euclidean. This fact, however, is analogous to the relations between a straight line and a curve, and cannot lead to an epistemological priority of Euclidean geometry, in contrast to the views of certain authors.
Hans Reichenbach
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I entered an omnibus to go to some place or other. At that moment when I put my foot on the step the idea came to me, without anything in my former thoughts seeming to have paved the way for it, that the transformations I had used to define the Fuchsian functions were identical with non-Euclidean geometry.
Henri Poincare
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At that stage of my youth, death remained as abstract a concept as non-Euclidean geometry or marriage. I didn't yet appreciate its terrible finality or the havoc it could wreak on those who'd entrusted the deceased with their hearts.
Jon Krakauer