Date:         Wed, 29 Jan 2003 17:19:38 -0600
Reply-To:     Stan Wilder <wilden1@JUNO.COM>
Sender:       Vanagon Mailing List <vanagon@gerry.vanagon.com>
From:         Stan Wilder <wilden1@JUNO.COM>
Subject:      Re: Curves (no Vanagon content)
Comments: To: thornton@MATH.UTAH.EDU
Content-Type: text/plain; charset=us-ascii

Contact Matthew Pollard he hangs with some smart guys ............
possibly some has rubbed off on him.

Stan

On Wed, 29 Jan 2003 16:22:45 -0600 Blake Thornton
<thornton@MATH.UTAH.EDU> writes:
> OK, having taught this stuff and having even done a fair amount of
> work
> studying "hyperbolic geometry" I thought I had to comment on the
> answers
> already given.
>
> - First, what is a "hyperbolic" curve.  I know what a hyperbola is
> (its a
> conic section), but I'm not entirely sure what is meant by a
> hyperbolic
> curve.
>
> - A cantenary is (as someone pointed out) the curve formed by a
> hanging
> rope.  the equation of such a curve is a fairly easy derivation.
> It
> should be easy to either just do the derivation or find it in either
> a
> calculus or differential equations book.
>
> - The method for drawing an ellipse was correct.  An ellipse can be
> shown
> to have this property: "Ellipse is the set of points whose sum of
> the
> distance to the foci is a fixed constant."  A hyperbola can be shown
> to
> have the similar property but you look at the difference of
> distances.
>
> Well, I've got to run, but that is the summary.  I don't know a
> quick way
> to draw a hyperbola, if thats what you want.
>
> Blake
>
>
> > Hello Vanagon Troops!!
> >
> > I need your help.
> >
> > I need to draw a hyperbolic curve as a line drawing that will look
> like
> > a bowl. It has specific dimensions of 22" wide by 8 " deep. The
> curve
> > must be true for the dimensions. There is a way to do this with
> string,
> > pins, pencil, straight edge and triangle, but I don't know how.
> Can
> > anyone tell me how do do this???
> >
> > Would appreciate it.
> >
> > Please reply off list.
> >
> > My thanks,
> >
> > John Rodgers
> > 88 GL Driver
> >
>
>

________________________________________________________________
Sign Up for Juno Platinum Internet Access Today
Only $9.95 per month!
Visit www.juno.com