10312
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Rolling One Parabola on Another
The focus of a parabola that rolls around another fixed identical parabola describes a straight line, which is the directrix of the fixed parabola.
Contributed by:
Izidor Hafner
THINGS TO TRY
Slider Zoom
Gamepad Controls
Automatic Animation
SNAPSHOTS
DETAILS
Reference
[1] J. Bryant and C. Sangwin,
How Round Is Your Circle?: Where Engineering and Mathematics Meet
, Princeton, NJ: Princeton University Press, 2008, pp. 44–45.
RELATED LINKS
Parabola
(
Wolfram
MathWorld
)
Rolling a Circle on a Parabola
(
Wolfram Demonstrations Project
)
PERMANENT CITATION
Izidor Hafner
"
Rolling One Parabola on Another
"
http://demonstrations.wolfram.com/RollingOneParabolaOnAnother/
Wolfram Demonstrations Project
Published: August 15, 2012
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
The Multiplication Parabola
Ed Pegg Jr
Center of an Equilateral Triangle Circumscribing a Given Parabola
Emmanuel Amiot
Two Tangent Lines to a Parabola
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Area under a Parabola by Symmetries
Gerry Harnett
Finding a Tangent Line to a Parabola
Jon Mormino
How Does the Vertex Location of a Parabola Change?
Eric Schulz
The Parabola's Evil Twin: Real and Nonreal Roots of a Real Quadratic
Phil Ramsden
Locus of Points Definition of an Ellipse, Hyperbola, Parabola, and Oval of Cassini
Marc Brodie
Modeling the Hyperboloid of One Sheet
Izidor Hafner
Constructing Quadratic Curves
Izidor Hafner
Related Topics
Conic Sections
Browse all topics
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+