Equality of a Segment and an Arc in Archimedes's Spiral

This Demonstration illustrates Proposition 20 of Archimedes's work On Spirals.
Let be any point on the first turn of the spiral, and let be the intersection of the tangent to the spiral at , with the perpendicular to at . Then .

SNAPSHOTS

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

DETAILS

Reference
[1] T. L. Heath (ed.), The Works of Archimedes, New York: Dover Publications, 2002.
    • 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.