Plate from 18th century encyclopedia showing a table of conics. In mathematics,a conic section is a curve obtained as the intersection of a cone with a plane. In analytic geometry,a conic may be defined as a plane algebraic curve of degree 2. There are a number of other geometric definitions possible. Traditionally,the three types of conic section are the hyperbola,the parabola,and the ellipse. The circle is a special case of the ellipse,and is of sufficient interest in its own right that it is sometimes called the fourth type of conic section. 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 | |
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