The Ochoa curve is the elliptic curve given in Weierstrass form as The complete set of 23 integer solutions (where solutions of the form are counted as a single solution) to this equation consists of , (,...
The Ochoa curve is the elliptic curve given in Weierstrass form as The complete set of 23 integer solutions (where solutions of the form are counted as a single solution) to this equation consists of , (,...
An elliptic curve of the form for an integer. This equation has a finite number of solutions in integers for all nonzero . If is a solution, it therefore follows that is as well. Uspensky and Heaslet (1939) give elementary...
The Maltese cross curve is the cubic Algebraic curve with Cartesian equation (1) and polar equation (2) (Cundy and Rollett 1989, p. 71), so named for its resemblance to the Maltese cross. It has...
The Maclaurin trisectrix is a curve first studied by Colin Maclaurin in 1742. It was studied to provide a solution to one of the geometric problems of antiquity, in particular angle trisection, whence the name trisectrix. The...
A plane curve proposed by Descartes to challenge Fermat's extremum-finding techniques. In parametric form, (1) (2) The curve has a discontinuity at . The left wing is generated as runs from to 0, the loop as ...
The conchoid of de Sluze is the cubic curve first constructed by René de Sluze in 1662. It is given by the implicit equation (1) or the polar equation (2) This can be written in parametric form as ...
A cubic curve invented by Diocles in about 180 BC in connection with his attempt to duplicate the cube by geometrical methods. The name "cissoid" first appears in the work of Geminus about 100 years later. Fermat and Roberval...
A cubic curve is an Algebraic curve of curve order 3. An Algebraic curve over a field is an equation , where is a polynomial in and with coefficients in , and the degree of is the maximum degree of each of its terms...
An ellipse is a curve that is the locus of all points in the plane the sum of whose distances and from two fixed points and (the foci) separated by a distance of is a given positive constant (Hilbert and Cohn-Vossen 1999,...
