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Ellipsoid
Now here is the general equation of an ellipsoid.
X^{2} / a^{2} + y^{2}/b^{2} + z^{2}/c^{2} = 1
Here is a diagram of a typical ellipsoid.
If a = b = c afterwards we will have a sphere.
Note: we only gave the equation for the ellipsoid which has been centered on the origin. Visibly ellipsoids don't have to be centered on the origin. Though, to make the discussion in this section a little easier we have selected to concentrate on surfaces which are "centered" on the origin in one way or other.
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