In geometry, the locus of a point moving according to specified conditions. The circle is the locus of all points equidistant from a given point (the centre). Other common geometrical curves are the ellipse, parabola, and hyperbola, which are also produced when a cone is cut by a plane at different angles. Many curves have been invented for the solution of special problems in geometry and mechanics - for example, the cissoid (the inverse of a parabola) and the cycloid.