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Cartesian Coordinates

  • Alexander Ostermann
  • Gerhard Wanner
Chapter
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

The so-called Cartesian coordinates,1 used to determine the position of a point in the plane (see Fig. 7.1, left), first appeared (in a somewhat hidden form) in Descartes’ solution of a problem of Pappus (see below). They came into general use only a few decades later. We owe important simplifications to Newton (1668), who freely used negative values for coefficients and coordinates. A clear exposition is given in Euler’s Introductio (1748), vol. II, §1–4.

Keywords

Fermat Point Angle Bisector Maximal Surface Area Euler Line Orthogonal Angle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of InnsbruckInnsbruckAustria
  2. 2.Section de mathématiquesUniversité de GenèveGenève 24Switzerland

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