11086
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Generating a Cardioid II: Reflecting in Tangents
Let A be a particular point (red) on a fixed circle. The set of points symmetric to A relative to all possible tangents to the circle lie on a cardioid.
Contributed by:
Jaime Rangel-Mondragon
THINGS TO TRY
Slider Zoom
Automatic Animation
SNAPSHOTS
RELATED LINKS
Cardioid
(
Wolfram
MathWorld
)
PERMANENT CITATION
Jaime Rangel-Mondragon
"
Generating a Cardioid II: Reflecting in Tangents
"
http://demonstrations.wolfram.com/GeneratingACardioidIIReflectingInTangents/
Wolfram Demonstrations Project
Published: March 7, 2011
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 »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Generating a Cardioid VI: Reflected Rays
Jaime Rangel-Mondragon
Generating a Cardioid IV: Feet of Perpendiculars
Jaime Rangel-Mondragon
Generating a Cardioid V: Rolling a Hoop
Jaime Rangel-Mondragon
Generating a Cardioid I: One Circle Rolling around Another
Jaime Rangel-Mondragon
Generating a Cardioid VII: Joining Points on a Circle
Jaime Rangel-Mondragon
Generating a Cardioid III: Circles Passing through a Point
Jaime Rangel-Mondragon
Generating a Lemniscate II: Rotating Line
Jaime Rangel-Mondragon
Generating Conics by Newton's Method
Jaime Rangel-Mondragon
Generating a Lemniscate I: Envelope of Circles
Jaime Rangel-Mondragon
Generating a Lemniscate IV: Rotating a Line
Jaime Rangel-Mondragon
Related Topics
Curves
Plane Geometry
Browse all topics
Related Curriculum Standards
US Common Core State Standards, Mathematics
8.G.A.1
8.G.A.3
HSG-CO.A.4
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+