Quartic Curves

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A deltoid (or tricuspid) is the locus of a point on the circumference of a circle rolling inside another circle with a radius three times larger in ma...
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This curve is defined geometrically as the conchoid of a circle of radius a, with respect to a point O on the circumference of a circle.
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The lemniscate of Bernoulli, also known as the hyperbolic lemniscate, is defined as the inverse of an equilateral hyperbola.
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The eight curve, also called the lemniscate of Gerono, is named for its appearance as a sideways 8.
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The conchoid of Nicomedes, also known as the cochloid, is the conchoid of a line with respect to a point not on the line.
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The Kappa Curve, or Gutschoven's curve, was studied by Gérard van Gutschoven around 1662.
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The Bicorn is the locus of the equations shown below.
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The Bowditch curve is the locus of the equations shown below.
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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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"Butterfly Curve" can refer to two distinct curves. Secondly, the Butterfly curve is the locus of the equations shown below.
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The Fish curve is the negative pedal of an ellipse with an eccentricity of (1/2) with respect to one of the foci.
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