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Another compex geometry problem
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More options Jan 12 2011, 8:35 am
Newsgroups: geometry.puzzles
From: Sujeet Kumar <sujeetkumar...@gmail.com>
Date: Wed, 12 Jan 2011 13:35:29 +0000 (UTC)
Local: Wed, Jan 12 2011 8:35 am
Subject: Another compex geometry problem
Here is another complex geometry problem-
Q.In a regular planar n-gon , 7 diagonals are concurrent at a point Q.Find least possible value of n.It is given that Q is not the center of the polygon.

**Be wise, generalise.**

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More options Jan 22 2011, 10:56 am
Newsgroups: geometry.puzzles
From: gudi <mathm...@hotmail.com>
Date: Sat, 22 Jan 2011 15:56:55 +0000 (UTC)
Local: Sat, Jan 22 2011 10:56 am
Subject: Re: Another compex geometry problem
On Jan 12, 6:35 pm, Sujeet Kumar <sujeetkumar...@gmail.com> wrote:

> Here is another complex geometry problem-
> Q.In a regular planar n-gon , 7 diagonals are concurrent at a point Q.Find least possible value of n.It is given that Q is not the center of the polygon.

> **Be wise, generalise.**

By a diagonal is meant a straight line joining non-adjacent vertices?
n=10.

One vertex Q, chosen as point of concurrency, is joined to remaining
7 non-adjacent vertices of a regular decagon ( n = 10) forming 10 -3 =
7 diagonals.

Narasimham

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More options Jan 26 2011, 9:32 am
Newsgroups: geometry.puzzles
From: Sujeet Kumar <sujeetkumar...@gmail.com>
Date: Wed, 26 Jan 2011 14:32:34 +0000 (UTC)
Local: Wed, Jan 26 2011 9:32 am
Subject: Re: Another compex geometry problem

I am not getting your solution.Send a diagram.Any n which is multiple of 30 will have this property.So least value
will be 30.
Regards from Sujeet

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More options Jan 28 2011, 8:32 am
Newsgroups: geometry.puzzles
From: gudi <mathm...@hotmail.com>
Date: Fri, 28 Jan 2011 13:32:36 +0000 (UTC)
Local: Fri, Jan 28 2011 8:32 am
Subject: Re: Another compex geometry problem
On Jan 26, 7:32 pm, Sujeet Kumar <sujeetkumar...@gmail.com> wrote:

May be a trivial or extreme solution. If a JavaSketchPad drawn with
all 5 radial lines as diagonals concurring at center of n =10 decagon
and then if center is dragged to any vertex, a diagram of 7 diagonals
would form as in:

Regards,
Narasimham

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More options Jan 29 2011, 11:46 am
Newsgroups: geometry.puzzles
From: Sujeet Kumar <sujeetkumar...@gmail.com>
Date: Sat, 29 Jan 2011 16:46:25 +0000 (UTC)
Local: Sat, Jan 29 2011 11:46 am
Subject: Re: Another compex geometry problem

Q was supposed to be in the interior of polygon