52. Astroid, Rolling Circle

Let the endpoints of a line segment slide along two perpendicular axes. [i]What is the envelope of the segment?[/i] This is problem #52 in Heinrich Dörrie's [i]100 Great Problems of Elementary Mathematics[/i] Solution inspired by Noel Lambert's collection of Curves: [url]http://www.geogebratube.org/collection/show/id/3217[/url]

 

Ryan Hirst

 
Resource Type
Activity
Tags
asteroid  curves  envelope  parametric 
Target Group (Age)
19+
Language
English (United States)
 
 
GeoGebra version
4.2
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