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# conic section

## noun

*Geometry.*

- a curve formed by the intersection of a plane with a right circular cone; an ellipse, a circle, a parabola, or a hyperbola.

conic section

## noun

- one of a group of curves formed by the intersection of a plane and a right circular cone. It is either a circle, ellipse, parabola, or hyperbola, depending on the eccentricity,
*e*, which is constant for a particular curve*e*= 0 for a circle;*e*<1 for an ellipse;*e*= 1 for a parabola;*e>1*for a hyperbola Often shortened toconic

conic section

- A curve formed by the intersection of a plane with a cone. Conic sections can appear as circles, ellipses, hyperbolas, or parabolas, depending on the angle of the intersecting plane relative to the cone's base.

## Discover More

## Word History and Origins

Origin of conic section^{1}

## Discover More

## Example Sentences

Analytically, it is defined by an equation of the second degree, of which the highest terms have real roots (see Conic Section).

In order to do this, we must first determine the social properties of a conic section.

The Confederacy has flanked the Conic Section, and is trying to escape.

Excluding the general group itself, every one of these leaves either a point, a line, or a conic section unaltered.

Parabola, a conic section formed by the intersection of a cone by a plane parallel to one of its sides.

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