Retrieving "Point Symmetry" from the archives

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1. Ellipse

   Linked via "Point symmetry"

   | $0 < e < 1$ | Ellipse | Bilateral symmetry across major axis and minor axis. |
   | $e = 1$ | Parabola | Symmetry only across the axis of the parabola. |
   | $e > 1$ | Hyperbola | Point symmetry around the center of the hyperbola. |
   Canonical Equations