Depending on the angle between the plane and the cone, four different intersection shapes can be formed.

vertex: The turning point of a curved shape.Д¬onic sections are a particular type of shape formed by the intersection of a plane and a right circular cone.

Parabola: The conic section formed by the plane being parallel to the cone.

eccentricity: A dimensionless parameter characterizing the shape of a conic section.

ellipse: The conic section formed by the plane being at an angle to the base of the cone.

circle: The conic section formed by the plane being parallel to the base of the cone.

focus: A point away from a curved line, around which the curve bends.

hyperbola: The conic section formed by the plane being perpendicular to the base of the cone.

asymptote: A line which a curved function or shape approaches but never touches.

degenerate: A conic section which does not fit the standard form of equation.

Each conic section also has a degenerate form these take the form of points and lines.

The types of conic sections are circles, ellipses, hyperbolas, and parabolas.

Conic sections are a particular type of shape formed by the intersection of a plane and a right circular cone.

These properties that the conic sections share are often presented as the following definition, which will be developed further in the following section. As with the focus, a parabola has one directrix, while ellipses and hyperbolas have two. The distance of a directrix from a point on the conic section has a constant ratio to the distance from that point to the focus. A parabola has one focus about which the shape is constructed an ellipse and hyperbola have two.ДЄ directrix is a line used to construct and define a conic section. In other words, it is a point about which rays reflected from the curve converge. For example, each type has at least one focus and directrix.ДЄ focus is a point about which the conic section is constructed. While each type of conic section looks very different, they have some features in common. Each conic is determined by the angle the plane makes with the axis of the cone. If the plane is parallel to the axis of revolution (theДЄ cone and conic sections: The nappes and the four conic sections. One nappe is what most people mean by вЂњcone,вЂќ and has the shape of a party hat.Д¬onic sections are generated by the intersection of a plane with a cone. A cone has two identically shaped parts called nappes. The circle is type of ellipse, and is sometimes considered to be a fourth type of conic section.Д¬onic sections can be generated by intersecting a plane with a cone. The three types of conic sections are the hyperbola, the parabola, and the ellipse.

directrix: A line used to construct and define a conic section a parabola has one directrix ellipses and hyperbolas have two (plural: directrices).ДЄ conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone with a plane.

conic section: Any curve formed by the intersection of a plane with a cone of two nappes.

focus: A point used to construct and define a conic section, at which rays reflected from the curve converge (plural: foci).

locus: The set of all points whose coordinates satisfy a given equation or condition.asymptote: A straight line which a curve approaches arbitrarily closely as it goes to infinity.vertex: An extreme point on a conic section.

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