Approximating the Length of Viviani's Curve

The positive part of Viviani's curve is the intersection of the hemisphere , , and the cylinder . Using a partition of the circumference , we construct a polygon that approximates the length of the curve. The exact value is , where is the complete elliptic integral function.


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