Analytic Geometry

  • John Stillwell
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

The basic idea of analytic geometry is the representation of curves by equations, but this is not the whole idea. If it was, then the Greeks would be considered the first analytic geometers. Menaechmus was perhaps the first to discover equations of curves, along with his discovery of the conic sections, and we have seen how he used equations to obtain \(\sqrt[3]{2}\) as the intersection of a parabola and a hyperbola (Section 2.4). Apollonius’ study of conics used equations obtained as by-products of geometric arguments.

Keywords

Double Point Projective Geometry Algebraic Curf Conic Section Analytic Geometry 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1989

Authors and Affiliations

  • John Stillwell
    • 1
  1. 1.Department of MathematicsMonash UniversityClaytonAustralia

Personalised recommendations