John D. Cook
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Posts on ellipses and elliptic integrals

Posted on 21 November 2022 by John

I wrote a lot of posts on ellipses and related topics over the last couple months. Here’s a recap of the posts, organized into categories.

Basic geometry

  • Eccentricity, flattening, and aspect ratio
  • Latus rectum
  • Directrix
  • Example of a highly elliptical orbit

More advanced geometry

  • Pascal’s theorem
  • Intersection of two conics
  • Determining conic sections by points or tangents
  • Evolute of an ellipse

Analysis

  • Elliptic coordinates and PDEs
  • Length of an elliptic arc
  • Carlson’s elliptic integrals
  • Kinds of elliptic integrals
  • What do elliptic functions have to do with ellipses?
  • Uniformly sampling from an ellipse
  • Conformal map from ellipse to disk
Categories : Math
Tags : Geometry Special functions
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John D. Cook

John D. Cook, PhD

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