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Topic: squaring a circle
Replies: 18   Last Post: Jan 3, 2012 12:22 PM

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Oscar Lanzi III

Posts: 1,223
Registered: 12/12/04
Re: squaring a circle
Posted: Dec 14, 2003 9:24 PM
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I've actually seen a trisection device with no moving parts at all.
It's basically a strip with one end having square and circular
attachments at the end. By placing the object in the right position
relative to a given angle, the trisectors of the angle are identified.

The Archimedean trisection (using the marked straightedge) algebraiclly
solves any cubic equation with three real roots, for the solution of
such an equation always reduces to an angle trisection via Viete's
formulation. So the method can be adapted to another old "impossible"
(with unmarked straightedge and compass) problem, the construction of
the regular heptagon.


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