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same ellipsoidal figure.

By taking transpose of the tensor momentum equation, one sees that the role of and are interchanged. If there is solution for , then for the same , there exists another solution with the role of and interchanged. But interchanging and is equivalent to replacing by . The following relations confirms the previous statement.

:

where, further

:

The typical configuration of this theorem is the Jacobi ellipsoid and its adjoint is called

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