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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 6:58 AM
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OOPS! Error. Please disregard my previous message. The book
Mathematical Gems is NOT by Doug Hofstadter but by Ross Honsberger. I'm
pretty sure it is in No. 2, but will check in my office at home.
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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