Conic Section

A conic section or simply conic is a curve obtained as the intersection of the surface of a cone with a plane.

Conic section. A section or slice through a cone. Conic sections are one of the important topics in geometry. It has distinguished properties in euclidean geometry.

Depending on the angle of the plane relative to the cone the intersection is a circle an ellipse a hyperbola or a parabola. The circle is a special case of the ellipse though historically it was sometimes called a fourth type. In mathematics a conic section or simply conic is a curve obtained as the intersection of the surface of a cone with a plane the three types of conic section are the hyperbola the parabola and the ellipse.

The vertex of the cone divides it into two nappes referred to as the upper nappe and the lower nappe. Examples of conic section in a sentence recent examples on the web given one rational point p on such a graph there is an elegant way to find all the other rational points. The ancient greek mathematicians studied conic sections culminating around 200.

Conic sections are mathematically defined as the curves formed by the locus of a point which moves a plant such that its distance from a fixed point is always in a constant ratio to its perpendicular distance from the fixed line. The circle is type of ellipse and is sometimes considered to be a fourth type of conic section. By taking different slices through a cone we can get.

A section or slice through a cone. The three types of curves sections are ellipse parabola and hyperbola. Circle ellipse parabola and hyperbola.

Conic sections are the curves which can be derived from taking slices of a double napped cone. Simply take each line that passes through p with a rational slope and calculate the line s second intersection point with the conic section. Did you know that by taking different slices through a cone you can create a circle an ellipse a parabola or a hyperbola.