The bifolium is a folium with . The bifolium is a quartic curve and is given by the implicit equation is (1) and the polar equation (2) The bifolium has area (3) (4) (5) Its arc...
The bifoliate is the quartic curve given by the Cartesian equation (1) and the polar equation (2) for . It has a cusp at the origin . The area of the bifoliate is given by (3) (4) (5)...
The quartic curve given by the implicit equation (1) so-named because of its resemblance to a tooth. The bicuspid curve has cusps at and . The horizontal tangents are located at , and the vertical tangents at , , and...
The quartic curve given by the implicit equation (1) It has horizontal asymptotes at and vertical asymptotes at and The area enclosed by the curve is given by (2) (3) (Sloane's A193505). The...
The quartic curve with implicit equation (1) It has crunodes at , , and . The horizontal asymptotes are at , , and . The vertical asymptotes are at and The polar equation is given by solving the quadratic equation ...
A general plane quartic curve is a curve of the form (1) Examples include the ampersand curve, bean curve, bicorn, bicuspid curve, bifoliate, bifolium, bitangent-rich curve, bow, bullet nose, butterfly curve,...
A semicubical parabola is a curve of the form (1) (i.e., it is half a cubic, and hence has power ). It has parametric equation s (2) (3) and the polar equation (4) The evolute of the...
A curve named and studied by Newton in 1701 and contained in his classification of cubic curves. It had been studied earlier by L'Hospital and Huygens in 1692 (MacTutor Archive). The curve is given by the Cartesian equation ...
A right strophoid is the strophoid of a line with pole not on and fixed point being the point where the perpendicular from to cuts is called a right strophoid. It is therefore a general strophoid with . The right strophoid...
