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Basics of Euclidean Geometry

  • Jean GallierEmail author
Chapter
Part of the Texts in Applied Mathematics book series (TAM, volume 38)

Abstract

In affine geometry it is possible to deal with ratios of vectors and barycenters of points, but there is no way to express the notion of length of a line segment or to talk about orthogonality of vectors. A Euclidean structure allows us to deal with metric notions such as orthogonality and length (or distance).

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© Springer Science+Businees Media, LLC 2011

Authors and Affiliations

  1. 1.Department of Computer and Information ScienceUniversity of PennsylvaniaPhiladelphiaUSA

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