 Quartic Curves

Page: 1 | 2 | 3 | View All 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... 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. The lemniscate of Bernoulli, also known as the hyperbolic lemniscate, is defined as the inverse of an equilateral hyperbola. The eight curve, also called the lemniscate of Gerono, is named for its appearance as a sideways 8. The conchoid of Nicomedes, also known as the cochloid, is the conchoid of a line with respect to a point not on the line. The Kappa Curve, or Gutschoven's curve, was studied by G�rard van Gutschoven around 1662. The Bicorn is the locus of the equations shown below. The Bowditch curve is the locus of the equations shown below. 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 ... The Devil's curve is the locus of the equations shown below. Folia (plural of "folium"; shown in blue) are the pedals of the deltoid (shown in red). The Hippopede is the locus of the equations shown below. The Kampyle of Eudoxus is the locus of the equations shown below. The Piriform is the locus of the equations shown below. 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. The Cruciform is the locus of the equation shown below. "Butterfly Curve" can refer to two distinct curves. Secondly, the Butterfly curve is the locus of the equations shown below. The Fish curve is the negative pedal of an ellipse with an eccentricity of (1/2) with respect to one of the foci. Content copyright 2020 Saltire Software. All Geometric Content created by Geometry Expressions.