Hyperbola - Wikipedia
Learn how to find the equation of a hyperbola, a set of points in a plane with a constant difference of distances from two fixed points. The equation is x^2/a^2 - y^2/b^2 = 1, where a and b are the eccentricity and the length of the transverse and conjugate axes. See examples, derivations, and observations on the hyperbola.
Hyperbola - Equation, Properties, Examples | Hyperbola Formula - Cuemath
Learn about the hyperbola, a two-branched open curve that is a conic section and a plane curve. Find out how to define it, write its equation, and explore its properties and applications in hyperbolic geometry.
Hyperbola - Math is Fun
Learn what a hyperbola is, how to draw it, and how to describe its properties using formulas and examples. A hyperbola is a conic section with two branches that are like infinite bows and two focuses, and it has an axis of symmetry, two vertices, two asymptotes, and an eccentricity greater than 1.
10.2: The Hyperbola - Mathematics LibreTexts
Learn the definition, standard equation, terms and formulas of hyperbola, a curve with two branches that are mirror images of each other. Find out how to calculate the eccentricity, focii, directrix, latus rectum and conjugate of a hyperbola using examples and practice problems.
8.4: Hyperbolas - Mathematics LibreTexts
The hyperbola is the shape of an orbit of a body on an escape trajectory (i.e., a body with positive energy), such as some comets, about a fixed mass, such as the sun. The hyperbola can be constructed by connecting the free end of a rigid bar , where is a focus , and the other focus with a string .
Hyperbola -- from Wolfram MathWorld
Learn what a hyperbola is, a special arch-shaped curve that has two focus points and two directrixes. See how to draw and describe a hyperbola with a formula and an example.
Intro to hyperbolas (video) | Conic sections | Khan Academy
Learn what a hyperbola is, how to write its equation in standard or parametric form, and how to identify its vertices, foci, asymptotes and eccentricity. See examples of hyperbolas with different transverse axes and center positions, and compare their shapes and characteristics.
22.5: Hyperbolas - Mathematics LibreTexts
In mathematics, a hyperbola (/ h aɪ ˈ p ɜːr b ə l ə / ⓘ; pl. hyperbolas or hyperbolae /-l iː / ⓘ; adj. hyperbolic / ˌ h aɪ p ər ˈ b ɒ l ɪ k / ⓘ) is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set.
Hyperbola - Math.net
Learn what a hyperbola is, how to calculate its equation, and how to find its standard form and properties. A hyperbola is a conic section formed by the intersection of a plane and a double cone at an angle, with two foci and two focus points.
Hyperbola | Conic Sections, Asymptotes, Eccentricity | Britannica
In analytic geometry, a hyperbola is a conic section formed by intersecting a right circular cone with a plane at an angle such that both halves of the cone are intersected. This intersection produces two separate unbounded curves that are mirror images of each other (Figure \(\PageIndex{2}\)).