another yucky geometry question

TJ Frame tjframe at gmail.com
Mon Sep 26 16:47:41 EDT 2005


Thanks for your help guys, I didn't realize it was so tough a problem to
solve :(
 perhaps I'll have to rethink the way I'd like to implement them.
  Jim I've sent you a private e-mail :)
  On 9/26/05, Jim Hurley <jhurley at infostations.com> wrote:
>
> >
> >Message: 1
> >Date: Sun, 25 Sep 2005 22:22:17 -0700
> >From: TJ Frame <tjframe at gmail.com>
> >Subject: another yucky geometry question
> >To: How to use Revolution <use-revolution at lists.runrev.com>
> >Message-ID: <7348a9e8050925222216898aaa at mail.gmail.com>
> >Content-Type: text/plain; charset=ISO-8859-1
> >
> >Hi everyone,
> > Does anyone know a good place to look for ( or know of any example
> stacks)
> >that might shed light on how to plot an ellipse inscribed within a 4
> sided
> >polygon like in the examples I created here:
> >http://www.tjframe.com/EllipseExample.htm
> > I can handle the polygon, as well as finding the midpoints of the lines,
> >the center of the polygon etc. ..just not sure about fitting that ellipse
> >inside it. Curse my math - resistant brain!
> > Any pointers would be, as usual, greatly appreciated :)
> > - TJ
>
>
> TJ,
>
> Tough problem. It would be difficult even to make it a well-defined
> problem, i.e. a problem with a unique solution.
>
> Given an ellipse which fits inside a given quadrilateral, one would
> always rotate the ellipse a bit and fiddle with it a bit to find
> another. And only in a special case would the ellipse be tangent to
> the quadrilateral at the midpoints of the four sides.
>
> Do you want to do this dynamically in your stack or just illustrate
> some examples? Would it help to fit bezier curves inside the
> quadrilaterals?
>
> Jim
>
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