Hippopede of Eudoxus

Eudoxus of Cnidus was a philosopher, astronomer, mathematician, physician, and a pupil of Plato. None of his work has come down to us; all of the references that we have come from secondary sources. He was born in Cnidus, currently in Turkey, about 400 BC.
One of his inventions was the hippopede, which is Greek for "horse fetter". This curve can be interpreted as the intersection of a cylinder and a sphere that have a point of tangency in common.
The curve can also be interpreted as the result of rotating segments as in the Demonstration. Both red segments maintain the same angle with the blue segment, which is always perpendicular to the green segment.


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


Based partially on "La hipopede de Eudoxo".


    • 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.

Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-Step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2018 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+