I suppose you're using POV-Ray 3.5, so if you'd just
go ahead and look at 6.1.4.6 in the documentation,
(Vector Expressions), you'll find a vector function called
"trace".
It returns the intersection of a ray that comes from
a User-Given position, along a User-Given direction.

The correct setup of starting positions and directions
for the rays would result in what you want.

Its early morning now, so I'm not up to the math-part
of your question yet, but if you give some more specific
details, I could look at them when I'm back from work...

Regards,

Tim

--
Tim Nikias
Homepage: http://www.digitaltwilight.de/no_lights/index.html
Email: Tim### [at] gmxde

> Is there a way to say place object a at the intersection of objects b
> and c?
>
> If there isn't, can anyone suggest how I can find the right equation for
> the shape of a sphere scaled to 1.35 times longer in the y direction
> than in the x?  I tried a parabola, but it came out too flat.
>
>

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