10854
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Tangent to a Catenary
Any tangent to the catenary
has the property
, where
is the tangent to the catenary at
, and
is the semicircle with center
and radius
.
Contributed by:
Izidor Hafner
THINGS TO TRY
Slider Zoom
Gamepad Controls
Automatic Animation
SNAPSHOTS
DETAILS
Reference
[1] G. N. Berman,
A
Problem Book in Mathematical Analysis
, Moscow, Russia: Mir Publishers, 1957 p. 69.
RELATED LINKS
Catenary
(
Wolfram
MathWorld
)
Catenary Stability for Variable-Length Cables
(
Wolfram Demonstrations Project
)
PERMANENT CITATION
Izidor Hafner
"
Tangent to a Catenary
"
http://demonstrations.wolfram.com/TangentToACatenary/
Wolfram Demonstrations Project
Published: November 5, 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
Projecting the Tangent Point of an Ellipse
Izidor Hafner
Common Point of Tangents
Izidor Hafner
Catenary: The Hanging Chain
Borut Levart
Quadratics Tangent to a Cubic
Robert L. Brown
Two Tangent Lines to a Parabola
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Finding a Tangent Line to a Parabola
Jon Mormino
Tangent Lines to Exponential and Logarithmic Functions through the Origin
Soledad María Sáez Martínez and Félix Martínez de la Rosa
Circle of Curvature
Herbert W. Franke
Differential of the Arc
Izidor Hafner
Radius of Curvature of Catenary
Izidor Hafner
Related Topics
Calculus
Curves
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+