Abstract
Euclidean space is the space that contains the ordinary objects of high school geometry: lines, circles, spheres, and so on. An n-dimensional Euclidean space is essentially the same thing as Rn the set of all ordered n-tuples (x1,…, X n of real numbers (R stands for `Real numbers’, n for ‘n-dimensonal’). The notation En stands for n-dimensional Euclidean space (E for Euclid, n for `n-dimensional’.) R“ and En differ in that Rn comes equipped with a special system of coordinates and a specially marked point (the origin), while Euclidean space has no natural coordinates or distinguished points. In this chapter we shall refer to geometrical space as Rn when we are using coordinates and En when we are not.
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© 1994 Springer Science+Business Media New York
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Jennings, G.A. (1994). Euclidean Geometry. In: Modern Geometry with Applications. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0855-6_1
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DOI: https://doi.org/10.1007/978-1-4612-0855-6_1
Publisher Name: Springer, New York, NY
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Online ISBN: 978-1-4612-0855-6
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