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A conic section, or simply conic, is a one-dimensional object that exists in two dimensions or higher. A conic is a curve obtained as the intersection of a cone (more precisely, a right circular conical surface) with a plane. Traditionally, the three types of conic sections are the hyperbola, the parabola, and the ellipse, where the circle is a special case of the ellipse. The type of a conic corresponds to its eccentricity, those with eccentricity less than 1 being ellipses, those with eccentricity equal to 1 being parabolas, and those with eccentricity greater than 1 being hyperbolas. In the focus-directrix definition of a conic the circle is a limiting case with eccentricity 0. In modern geometry certain degenerate cases, such as the union of two lines, are included as conics as well.

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