Abstract
In euclidean geometry it is possible to move a vector parallel to itself from one point to another point at finite distance. This means that in this geometry a law is given by which it is possible to associate in a unique way a vector to every point in space, if a vector is given at one point. The length of one vector and the angle between two vectors are invariant under such a parallel displacement.
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© 1934 Springer-Verlag Berlin Heidelberg
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Struik, D.J. (1934). Affine connections. In: Theory of Linear Connections. Ergebnisse der Mathematik und ihrer Grenƶgebiete. 2. Folge, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-50799-1_3
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DOI: https://doi.org/10.1007/978-3-642-50799-1_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-50490-7
Online ISBN: 978-3-642-50799-1
eBook Packages: Springer Book Archive