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Can every ellipsoid in $\mathbb{R}^n$$n$-dimensional ellipsoid be obtained as a (spherical) conic section?

This is false for generic quadrics but seems true for ellipsoid.

Does anybody have any references?

Can every ellipsoid in $\mathbb{R}^n$ be obtained as a (spherical) conic section?

This is false for generic quadrics but seems true for ellipsoid.

Does anybody have any references?

Can every $n$-dimensional ellipsoid be obtained as a (spherical) conic section?

This is false for generic quadrics but seems true for ellipsoid.

Does anybody have any references?

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Conic sections in high dimensions

Can every ellipsoid in $\mathbb{R}^n$ be obtained as a (spherical) conic section?

This is false for generic quadrics but seems true for ellipsoid.

Does anybody have any references?