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## Epilogue

The ellipsoidal coordinate system replaces the spherical system whenever the geometrical standards of the space depend on direction. In other words, when the space exhibits some kind of anisotropy. This anisotropy is characterized by three orthogonal directions, specifying the principal directions, and the unit lengths along these directions, specifying the semi-axes of the reference ellipsoid. Hence, the reference ellipsoid encodes the complete structure of the anisotropic behavior of the space and defines the appropriate coordinate system. One of the variables of the ellipsoidal system, denoted by ρ, specifies a family of ellipsoids and therefore corresponds to the radial variable of the spherical system. The other two variables, denoted ...

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