Left: The perspectrix of T, T is perpendicular to the Euler Line of T . Right: The perspectrix of T, T is perpendicular to the line through X4 and X671.

Source publication

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

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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.

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