Steiner's Hat: a Constant-Area Deltoid Associated with the Ellipse

06/23/2020

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by   Ronaldo Garcia, et al.

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The Negative Pedal Curve (NPC) of the Ellipse with respect to a boundary point M is a 3-cusp closed-curve which is the affine image of the Steiner Deltoid. Over all M the family has invariant area and displays an array of interesting properties.