Abstract
In this chapter we consider affine spaces on which a distance has been defined. Thus we have a model of classical Euclidean Geometry, where, for instance, Pythagoras’ Theorem works well. We give a short method to compute the distance between two varieties of arbitrary dimension.
The subsections are
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5.1
Introduction
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5.2
Definition of Euclidean affine space. Pythagoras’ Theorem
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5.3
Distance between two varieties
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5.4
Common perpendicular
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Exercises
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© 2011 Springer-Verlag London Limited
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Reventós Tarrida, A. (2011). Euclidean Affine Spaces. In: Affine Maps, Euclidean Motions and Quadrics. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/978-0-85729-710-5_5
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DOI: https://doi.org/10.1007/978-0-85729-710-5_5
Publisher Name: Springer, London
Print ISBN: 978-0-85729-709-9
Online ISBN: 978-0-85729-710-5
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