Definition of Hyperbolas. Meaning of Hyperbolas. Synonyms of Hyperbolas

Here you will find one or more explanations in English for the word Hyperbolas. Also in the bottom left of the page several parts of wikipedia pages related to the word Hyperbolas and, of course, Hyperbolas synonyms and on the right images related to the word Hyperbolas.

Definition of Hyperbolas

Hyperbola
Hyperbola Hy*per"bo*la, n. [Gr. ?, prop., an overshooting, excess, i. e., of the angle which the cutting plane makes with the base. See Hyperbole.] (Geom.) A curve formed by a section of a cone, when the cutting plane makes a greater angle with the base than the side of the cone makes. It is a plane curve such that the difference of the distances from any point of it to two fixed points, called foci, is equal to a given distance. See Focus. If the cutting plane be produced so as to cut the opposite cone, another curve will be formed, which is also an hyperbola. Both curves are regarded as branches of the same hyperbola. See Illust. of Conic section, and Focus.

Meaning of Hyperbolas from wikipedia

- In mathematics, a hyperbola (/haɪˈpɜːrbələ/ ; pl. hyperbolas or hyperbolae /-liː/ ; adj. hyperbolic /ˌhaɪpərˈbɒlɪk/ ) is a type of smooth curve lying in...
- the unit hyperbola requires the conjugate hyperbola y2−x2=1{\displaystyle y^{2}-x^{2}=1} to complement it in the plane. This pair of hyperbolas share the...
- ellipses and hyperbolas have two foci, there are confocal ellipses, confocal hyperbolas and confocal mixtures of ellipses and hyperbolas. In the mixture...
- coordinate). Like other rectangular hyperbolas, the orthocenter of any three points on the curve lies on the hyperbola. So, the orthocenter of the triangle...
- be treated as an ellipse or a hyperbola, but with one focal point at infinity. In the case of ellipses and hyperbolas the half-focal separation is sometimes...
- conic). In the complex plane C2, ellipses and hyperbolas are not distinct: one may consider a hyperbola as an ellipse with an imaginary axis length. For...
- America. H. hyperbola californica Knull, 1947 H. hyperbola hyperbola Knull, 1938 "Hesperorhipis hyperbola Species Information". BugGuide.net. Iowa State...
- Retrieved 2007-09-06. "The Geometry of Orbits: Ellipses, Parabolas, and Hyperbolas". www.bogan.ca. "7.1 Alternative Characterization". Archived from the...
- Hyperbola GNU/Linux-libre is a Linux distribution for the i686 and x86-64 architectures. It is based on Arch Linux snapshots and Debian development. It...
- In Euclidean geometry with triangle △ABC, the nine-point hyperbola is an instance of the nine-point conic described by American mathematician Maxime Bôcher...