Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » Math Topics » geometry.puzzles.independent

Topic: Another compex geometry problem
Replies: 4   Last Post: Jan 29, 2011 8:25 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Sujeet Kumar

Posts: 190
From: Patna
Registered: 10/21/10
Re: Another compex geometry problem
Posted: Jan 29, 2011 8:25 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

> On Jan 26, 7:32 pm, Sujeet Kumar
> <sujeetkumar...@gmail.com> wrote:

> > > 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
> >
> > 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
>
> 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:
>
> http://i51.tinypic.com/2ibnapv.jpg
>
> Regards,
> Narasimham


Q was supposed to be in the interior of polygon



Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.