# Tangent to a Cycloid

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

The cycloid is the locus of a point on a circle rolling along a straight line. This Demonstration illustrates a theorem proved by Descartes: the tangent to the cycloid at a point is perpendicular to , where is the point of contact of the circle and the line.

Contributed by: Izidor Hafner (November 2012)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

Reference

[1] University of St Andrews Scotland, School of Mathematics and Statistics. The MacTutor History of Mathematics archive. "Cycloid." (Nov 29, 2012) www-history.mcs.st-and.ac.uk/Curves/Cycloid.html.

## Permanent Citation

"Tangent to a Cycloid"

http://demonstrations.wolfram.com/TangentToACycloid/

Wolfram Demonstrations Project

Published: November 29 2012