POV-Ray : Newsgroups : povray.general : Maths question, more ellipse funness Server Time
4 Nov 2024 13:04:27 EST (-0500)
  Maths question, more ellipse funness (Message 1 to 5 of 5)  
From: Tim Cook
Subject: Maths question, more ellipse funness
Date: 29 Oct 2003 03:30:05
Message: <3f9f7a8d$1@news.povray.org>
I glanced at a few sites hit with Google, but didn't see
anything particularly simple to do this, so I'll ask here.
I have an ellipse, of which I know its centre point (0,0)
and its major and minor axes (looks a lot like a nonuniform
scaled cylinder ^_^ )...I want to find its foci (well, only
one of 'em, but if I know one I have the other).  Is there
a quick formula for doing this with the given data, or do I
have to try to remember more than the most fundamental
aspects of my mathematical education?
-- 
Tim Cook
http://home.bellsouth.net/p/PWP-empyrean

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PGP-(--) t* 5++>+++++ X+ R* tv+ b++(+++) DI
D++(---) G(++) e*>++ h+ !r--- !y--
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From: ABX
Subject: Re: Maths question, more ellipse funness
Date: 29 Oct 2003 03:34:03
Message: <rmuupvgsl5pli9sn1sa08r24fc8qltlp8u@4ax.com>
On Wed, 29 Oct 2003 03:31:18 -0500, Tim Cook <z99### [at] bellsouthnet> wrote:
> I glanced at a few sites hit with Google, but didn't see
> anything particularly simple to do this, so I'll ask here.
> I have an ellipse, of which I know its centre point (0,0)
> and its major and minor axes (looks a lot like a nonuniform
> scaled cylinder ^_^ )...I want to find its foci (well, only
> one of 'em, but if I know one I have the other).  Is there
> a quick formula for doing this with the given data, or do I
> have to try to remember more than the most fundamental
> aspects of my mathematical education?

If I understand what you are looking for correctly, I see answer in first
entry of http://www.google.com/search?q=finding+foci+ellipse :-)

ABX


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From: Tim Cook
Subject: Re: Maths question, more ellipse funness
Date: 29 Oct 2003 04:01:11
Message: <3f9f81d7@news.povray.org>
ABX wrote:
> If I understand what you are looking for correctly, I see answer in first
> entry of http://www.google.com/search?q=finding+foci+ellipse :-)

hmm guess that's a bit more useful than just googling for 'ellipse'
^_^;;


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From: HermanS
Subject: Re: Maths question, more ellipse funness
Date: 30 Oct 2003 12:30:32
Message: <MPG.1a0b69272a48ea3898968a@news.povray.org>
Tim Cook wrote:..
> I glanced at a few sites hit with Google, but didn't see
> anything particularly simple to do this, so I'll ask here.
> I have an ellipse, of which I know its centre point (0,0)
> and its major and minor axes (looks a lot like a nonuniform
> scaled cylinder ^_^ )...I want to find its foci (well, only
> one of 'em, but if I know one I have the other).  Is there
> a quick formula for doing this with the given data, or do I
> have to try to remember more than the most fundamental
> aspects of my mathematical education?
> 
1. draw both axes op the ellipse
2. draw a circle centered at one end point of the small axis with a 
radius equal to the length of half the large axis.
3. the intersection points of this circle and the larger axis are the 
foci of the ellipse.
Herman


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From: Tim Cook
Subject: Re: Maths question, more ellipse funness
Date: 30 Oct 2003 15:42:03
Message: <3fa1779b@news.povray.org>
HermanS wrote:
> 1. draw both axes op the ellipse
> 2. draw a circle centered at one end point of the small axis with a 
> radius equal to the length of half the large axis.
> 3. the intersection points of this circle and the larger axis are the 
> foci of the ellipse.

...

Whoah!  That's cool!  ^_^


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