9867
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Tangent on a Logarithmic Spiral
The logarithmic spiral
has the property that the angle (say
) between a radius vector to a point on the curve and the tangent at the point is a constant, namely
.
Contributed by:
Izidor Hafner
THINGS TO TRY
Slider Zoom
Gamepad Controls
Automatic Animation
SNAPSHOTS
DETAILS
Reference
[1] V. I. Smirnoff,
Lectures in Higher Mathematics
(in Russian), Vol. 1, Moscow: Nauka Publishers, 1967, pp. 222–223.
RELATED LINKS
Logarithmic Spiral
(
Wolfram
MathWorld
)
Logarithmic Spiral
(
Wolfram Demonstrations Project
)
PERMANENT CITATION
Izidor Hafner
"
Tangent on a Logarithmic Spiral
"
http://demonstrations.wolfram.com/TangentOnALogarithmicSpiral/
Wolfram Demonstrations Project
Published: December 13, 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
Drawing a Logarithmic Spiral
Izidor Hafner
Mechanism for Drawing a Logarithmic Spiral
Izidor Hafner
Arc Length of a Logarithmic Spiral
Izidor Hafner
Equality of a Segment and an Arc in Archimedes's Spiral
Izidor Hafner
Inverse Stereographic Projection of the Logarithmic Spiral
Erik Mahieu
Tangent Lines to Exponential and Logarithmic Functions through the Origin
Soledad María Sáez Martínez and Félix Martínez de la Rosa
Golden Spiral
Yu-Sung Chang
Double Spiral
John Compter
Padovan's Spiral Numbers
Robert Dickau
Spiral of Primes
Enrique Zeleny
Related Topics
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+