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Re: Triangulating an inscribed polygon
Posted:
Mar 27, 1998 6:47 AM


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:
> famedini@tin.it 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 ** >



