Mean Axis of Ellipsoid is Axis of Symmetry

Theorem

Let $\EE$ be an ellipsoid.

The mean axis of $\EE$ is an axis of symmetry of $\EE$.

Proof

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Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): ellipsoid
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): ellipsoid