Re: Point on a surface

On 03-10-2007 7:31, Fraser wrote:

I'm trying to caluate the 3rd dimention of a point on a surface.

So I've got N points (x,y,z) that are all on a surface, and I'm tying
to find a formula to calculate 3rd dimention of another point (x,y,z)
that is to say x and y are known and I'm looking for z (so that this
point is then on the surface).

Hope that is clear,

Not very much, but I think that I understood it.

If your N points are all on a surface, then there are real numbers _a_,
_b_, _c_, and _d_ such that a*x + b*y + c*z = d whenever (x,y,z) is one
of those points. Find them. Then, if _x_ and _y_ are known and you want
to find _z_ such that (x,y,z) belongs to your surface, just solve the
equation a*x + b*y + c*z = d.

Best regards,

Jose Carlos Santos
.

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