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Analytic Geometry in Three Dimensions

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Intermediate Calculus

Part of the book series: Undergraduate Texts in Mathematics ((UTM))

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Abstract

Analytic geometry in three dimensions makes essential use of coordinate systems. To introduce a coordinate system, we consider triples (a,b, c) of real numbers, and we call the set of all such triples of real numbers the three-dimensional number space. We denote this space by R’. Each individual triple is a point in R 3 . The three elements in each number triple are called its coordinates. We now show how three-dimensional number space may be represented on a geometric or Euclidean three-dimensional space.

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© 1985 Springer Science+Business Media New York

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Protter, M.H., Morrey, C.B. (1985). Analytic Geometry in Three Dimensions. In: Intermediate Calculus. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1086-3_1

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  • DOI: https://doi.org/10.1007/978-1-4612-1086-3_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7006-5

  • Online ISBN: 978-1-4612-1086-3

  • eBook Packages: Springer Book Archive

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