Ampersand curve
Encyclopedia
In mathematics, the ampersand curve is a quartic plane curve
given by the equation:
It is an algebraic curve
of genus zero, with three ordinary double points, all in the real plane.
Quartic plane curve
A quartic plane curve is a plane curve of the fourth degree. It can be defined by a quartic equation:Ax^4+By^4+Cx^3y+Dx^2y^2+Exy^3+Fx^3+Gy^3+Hx^2y+Ixy^2+Jx^2+Ky^2+Lxy+Mx+Ny+P=0....
given by the equation:
It is an algebraic curve
Algebraic curve
In algebraic geometry, an algebraic curve is an algebraic variety of dimension one. The theory of these curves in general was quite fully developed in the nineteenth century, after many particular examples had been considered, starting with circles and other conic sections.- Plane algebraic curves...
of genus zero, with three ordinary double points, all in the real plane.