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If I take a spheroid (slightly flattened sphere) with the following equation:

x2/a2 + y2/b2 + z2/a2 - 1 = 0

and rotate it by arbitrary angles about the x-, y-, and z-axes, the new equation for the rotated spheroid is:

Ax2 + By2 + Cz2 + Dxy + Exz + Fyz + Gx + Hy + Iz + J = 0

How do I find the outline of its projection on the xy-plane?

x2/a2 + y2/b2 + z2/a2 - 1 = 0

and rotate it by arbitrary angles about the x-, y-, and z-axes, the new equation for the rotated spheroid is:

Ax2 + By2 + Cz2 + Dxy + Exz + Fyz + Gx + Hy + Iz + J = 0

How do I find the outline of its projection on the xy-plane?

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