Quartic Curves

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Tangents are drawn from the hyperbola (x/a)^2-(y/b)^2=1 (shown in red). At the points where the tangents intersect the X and Y axes, lines are drawn ...
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The Devil's curve is the locus of the equations shown below.
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Folia (plural of "folium"; shown in blue) are the pedals of the deltoid (shown in red).
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The Hippopede is the locus of the equations shown below.
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The Kampyle of Eudoxus is the locus of the equations shown below.
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The Piriform is the locus of the equations shown below.
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The Cardioid is a one-cusped epitrochoid. It is also the conchoid of a circle with respect to a point on the circle's circumference.
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The Cruciform is the locus of the equation shown below.
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