Cubic Curves

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The Folium of Descartes is the locus of the equations shown below.
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Newton's parabola is the locus of the equation shown below.
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The Maltese cross curve is the locus of the equations shown below.
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A Mordell curve is any curve in the form shown below.
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The Ochoa curve curve is the cubic curve that is the locus of the equation below.
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