More on the Pedal Property of the Ellipse
نویسندگان
چکیده
In this note we prove that if a convex body in the three dimensional Euclidean space has the pedal property of the ellipse, then it is an ellipsoid of revolution. We also give a family of curves in the plane with exactly one point which behaves, in some sense, like a focus on an ellipse. Finally, we study another property of the ellipse which we name the harmonic property and prove that a convex curve with this property must be an ellipse.
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