conic section

American  

noun

Geometry.

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

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conic section British  

noun

1. Often shortened to: conic.  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

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conic section Scientific  

1. 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.

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Etymology

Origin of conic section

First recorded in 1655–65

Example Sentences

To determine the angle θ of rotation of the conic section, we use the formula cot 2θ = A − C .

From Textbooks • Mar. 30, 2016

The method for graphing a conic section with rotated axes involves determining the coefficients of the conic in the rotated coordinate system.

From Textbooks • Mar. 30, 2016

Using the definitions of the focal parameter and eccentricity of the conic section, we can derive an equation for any conic section in polar coordinates.

From Textbooks • Mar. 30, 2016

For the following exercises, convert the polar equation of a conic section to a rectangular equation.

From Textbooks • Feb. 13, 2015

The simplest conic section of all has been proved to be a point.

From The Romance of Mathematics Being the Original Researches of a Lady Professor of Girtham College in Polemical Science, with some Account of the Social Properties of a Conic; Equations to Brain Waves; Social Forces; and the Laws of Political Motion. by Hampson, P.