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hyperbola
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Eccentricity of conic sectionsThe eccentricity of a conic section completely characterizes its shape. For example, all circles have zero eccentricity, and all parabolas have unit eccentricity; hence, all circles (and all parabolas) have the same shape, only varying in size. (Under appropriate magnification they are indistinguishable.) In contrast, ellipses and hyperbolas vary greatly in shape. Diagram showing a double cone intersected by planes at different angles, producing the conic sections: a horizontal plane creates a circle, a tilted plane creates an ellipse, a plane parallel to the cone's side forms a parabola, and a steep plane produces a hyperbola. Each section is labeled, with the axis and apex of the cone indicated. A diagram of a double cone intersected by two green planes labeled PP (picture plane) and RP (reality plane), illustrating projected conic sections in projective geometry, with the apex and a point Omega marked. Figure 6: The hyperbola (see text).

hyperbola: References & Edit History

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Article History

Type Description Contributor Date
Modified link of Web site: Mathematics LibreTexts - Hyperbola. Oct 09, 2026
Add new Web site: Andrews University - Hyperbolas. Feb 18, 2025
Add new Web site: Purdue University - Department of Mathematics - Hyperbolas. Oct 03, 2024
Add new Web site: University of Houston - Department of Mathematics - Hyperbolas. Aug 06, 2024
Add new Web site: OpenStax - Intermediate Algebra 2e - Hyperbolas. May 02, 2024
Add new Web site: Khan Academy - Intro to hyperbolas. Mar 15, 2024
Add new Web site: BCcampus Publishing - Hyperbola. Dec 12, 2023
Add new Web site: Story of Mathematics - Hyperbola οΏ½ Properties, Components, and Graph. Sep 21, 2023
Add new Web site: Mathematics LibreTexts - Hyperbola. Jan 23, 2023
Add new Web site: A Maths Dictionary for Kids - Hyperbola. Mar 04, 2020
Add new Web site: None. Jun 28, 2015
Add new Web site: Maths is Fun - Hyperbola. Mar 09, 2014
Add new Web site: Wolfram MathWorld - Hyperbola. Mar 06, 2014
Article added to new online database. Jul 20, 1998
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