- #1
Umbra Lupis
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I have been asking/looking around for the general equation of an ellipsoid and I am unable to find it anywhere.
Does anyone know what it is?
BTW: What I mean by the general equation of an ellipsoid, one that can be rotated in any way, that is 2 angles of rotation and one that does not have to be centered at the origin. - I know the one for a general ellipse moved from the center. So I don't want this!
[tex]\frac{(x-x_c)^2}{a^2} + \frac{(y-y_c)^2}{b^2} + \frac{(z-z_c)^2}{c^2} = 1[/tex]
If possible could it be in Implicit Cartesian or Spherical Polars form?
Thanks for any help
Does anyone know what it is?
BTW: What I mean by the general equation of an ellipsoid, one that can be rotated in any way, that is 2 angles of rotation and one that does not have to be centered at the origin. - I know the one for a general ellipse moved from the center. So I don't want this!
[tex]\frac{(x-x_c)^2}{a^2} + \frac{(y-y_c)^2}{b^2} + \frac{(z-z_c)^2}{c^2} = 1[/tex]
If possible could it be in Implicit Cartesian or Spherical Polars form?
Thanks for any help