11403
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Equality of a Segment and an Arc in Archimedes's Spiral
This Demonstration illustrates Proposition 20 of Archimedes's work
On Spirals
.
Let
be any point on the first turn of the spiral, and let
be the intersection of the tangent to the spiral at
, with the perpendicular to
at
. Then
.
Contributed by:
Izidor Hafner
THINGS TO TRY
Slider Zoom
Gamepad Controls
Automatic Animation
SNAPSHOTS
DETAILS
Reference
[1] T. L. Heath (ed.),
The Works of Archimedes
, New York: Dover Publications, 2002.
RELATED LINKS
Archimedes' Spiral
(
Wolfram
MathWorld
)
PERMANENT CITATION
Izidor Hafner
"
Equality of a Segment and an Arc in Archimedes's Spiral
"
http://demonstrations.wolfram.com/EqualityOfASegmentAndAnArcInArchimedessSpiral/
Wolfram Demonstrations Project
Published: November 29, 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
Archimedes' Approximation of Pi
John Tucker
Archimedes's Neusis Angle-Trisection
Izidor Hafner
Arc Length of a Logarithmic Spiral
Izidor Hafner
Drawing a Logarithmic Spiral
Izidor Hafner
Mechanism for Drawing a Logarithmic Spiral
Izidor Hafner
A Lemma of Archimedes about a Bisected Segment
Jay Warendorff
Nicomedes's Mechanism for Constructing a Conchoid
Izidor Hafner
The Trammel of Archimedes
Jamie Wickham-Jones
Multisecting an Angle Using Archimedes's Spiral
Izidor Hafner
Salinon
Michael Schreiber
Related Topics
Curves
Greek Mathematics
Plane Geometry
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+