Five Points Determine a Conic Section

Five points determine a conic section. In this Demonstration, move up to six points, and see all the conic sections that pass through any subset of five points.
Use Cmd+Click on Mac or Alt+Click on Windows to add or remove locators. If you hold the mouse over any curve, the equation of the corresponding conic is displayed.


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


Following MathWorld, the equation of the conic through the five points can be computed with the determinant
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.