Talk:Affine space: Difference between revisions

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imported>Paul Wormer
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imported>Boris Tsirelson
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== Remarks ==
As for me, the article is nice enough. Here are some remarks. First, about rigid motion and rotation (near the end): if a linear map is isometric but of determinant (-1), then we'd better not call it "rotation". Second, it could be noted that in fact an isometric map (in Euclidean space, I mean) is necessarily affine (even if linearity was not required). [[User:Boris Tsirelson|Boris Tsirelson]] 15:49, 23 July 2009 (UTC)

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 Definition Collection of points, none of which is special; an n-dimensional vector belongs to any pair of points. [d] [e]
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Remarks

As for me, the article is nice enough. Here are some remarks. First, about rigid motion and rotation (near the end): if a linear map is isometric but of determinant (-1), then we'd better not call it "rotation". Second, it could be noted that in fact an isometric map (in Euclidean space, I mean) is necessarily affine (even if linearity was not required). Boris Tsirelson 15:49, 23 July 2009 (UTC)