Abstract
We consider a real affine space X of finite dimension (which is always denoted by n), and whose underlying vector subspace \(\vec X\) (see 2.A) is endowed with a Euclidean structure; we say that X is a Euclidean affine space. The standard example is R n, considered as an affine space.
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© 1984 Marcel Berger
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Berger, M., Pansu, P., Berry, JP., Saint-Raymond, X. (1984). Euclidean Affine Spaces. In: Problems in Geometry. Problem Books in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-1836-2_9
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DOI: https://doi.org/10.1007/978-1-4757-1836-2_9
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2822-1
Online ISBN: 978-1-4757-1836-2
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