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6.8: Conic Sections and Dandelin Spheres

Difficulty Level: At Grade Created by: CK-12
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Vocabulary

Conic

Conic sections are those curves that can be created by the intersection of a double cone and a plane. They include circles, ellipses, parabolas, and hyperbolas.

Dandelin Spheres

Dandelin spheres are spheres used to geometrically define the conic sections.

Ellipse

Ellipses are conic sections that look like elongated circles. An ellipse represents all locations in two dimensions that are the same distance from two specified points called foci.

Ellipses

Ellipses are conic sections that look like elongated circles. An ellipse represents all locations in two dimensions that are the same distance from two specified points called foci.

hyperbola

A hyperbola is a conic section formed when the cutting plane intersects both sides of the cone, resulting in two infinite “U”-shaped curves.

Parabola

A parabola is the set of points that are equidistant from a fixed point on the interior of the curve, called the '''focus''', and a line on the exterior, called the '''directrix'''. The directrix is vertical or horizontal, depending on the orientation of the parabola.

tangency

A tangency is a point (or set of points) which "just touch" a figure.

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Difficulty Level:
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Date Created:
Nov 01, 2012
Last Modified:
Jul 22, 2016
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