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Topic: Triangulating an inscribed polygon
Replies: 7   Last Post: Jan 17, 2001 2:42 PM

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Mike de Villiers

Posts: 38
Registered: 12/6/04
Re: Triangulating an inscribed polygon
Posted: Mar 27, 1998 6:47 AM
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If I recall correctly, this problem with a proof appears in one of the
Mathematical Gems books by Doug Hofstadter (I think no. 2) published by
the MAA.
Michael de Villiers

On 26 Mar 1998 wolk@ccm.umanitoba.c wrote:

> wrote:

> >If you triangulate a polygon inscribed in a circle, it doesn't matter
> >the way you do it, the sum of the radii of the circles inscribed in
> >the triangles will be constant, not depending on the way you
> >triangulated the polygon.
> >That seems to be true, but I don't know how to proove it.
> >Help me!

> I first saw that problem about five years ago, in a book review
> published in the American Mathematical Monthly. The review quoted
> a few problems from the book, including this problem. The book
> title was something like "The Chinese Garden Geometry Problems"
> -- I hope someone in this group can provide the correct title,
> because that book is probably where you want to look this up
> to find a geometric proof.
> ---
> ** (debug) Blackmail would reject this message for 1 reasons. PID = 4659 **

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