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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
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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
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