11251
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
An Osculating Circle for Various Curvatures
The curvature,
, is the extent to which a curve deviates from being flat. The radius of the circle of best fit to the curve (the osculating circle) is equal to
. As curvature approaches zero, the curve becomes closer and closer to a straight line.
Contributed by:
Nader Al-Naji
THINGS TO TRY
Slider Zoom
Automatic Animation
SNAPSHOTS
RELATED LINKS
Curvature
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
An Osculating Circle for Various Curvatures
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/AnOsculatingCircleForVariousCurvatures/
Contributed by:
Nader Al-Naji
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
Osculating Circles
Abby Brown
Osculating Circles 3D
Abby Brown
Circle of Curvature
Herbert W. Franke
Inverting a Point in the Osculating Circles of a Curve
George Beck
Circle Involute
Sándor Kabai
Circle Images
Roman E. Maeder
Concentric Circles around a Circle
Sándor Kabai
Radius of Curvature of Catenary
Izidor Hafner
Gauss Map and Curvature
Michael Rogers (Oxford College/Emory University)
Curvature of the Trefoil Knot
Todd Will
Related Topics
Curves
High School Advanced Calculus and Linear Algebra
High School Mathematics
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+