Definify.com
Webster 1913 Edition
Hyperbola
Hy-per′bo-la
(hī-pẽr′bō̍-lȧ)
, Noun.
[Gr.
ὑπερβολή
, 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
. Definition 2024
hyperbola
hyperbola
English
Wag 16-5 hyperbola graph
Noun
hyperbola (plural hyperbolas or hyperbolae or hyperbolæ)
- (geometry) A conic section formed by the intersection of a cone with a plane that intersects the base of the cone and is not tangent to the cone.
Usage notes
- Like many terms that start with a non-silent h but have emphasis on their second syllable, some people precede hyperbola with an, others with a.
Translations
geometric curve
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Derived terms
See also
Finnish
Noun
hyperbola
- hyperbole (extreme exaggeration or overstatement; especially as a literary or rhetorical device)
Declension
| Inflection of hyperbola (Kotus type 10/koira, no gradation) | |||
|---|---|---|---|
| nominative | hyperbola | hyperbolat | |
| genitive | hyperbolan | hyperbolien | |
| partitive | hyperbolaa | hyperbolia | |
| illative | hyperbolaan | hyperboliin | |
| singular | plural | ||
| nominative | hyperbola | hyperbolat | |
| accusative | nom. | hyperbola | hyperbolat |
| gen. | hyperbolan | ||
| genitive | hyperbolan | hyperbolien hyperbolainrare |
|
| partitive | hyperbolaa | hyperbolia | |
| inessive | hyperbolassa | hyperbolissa | |
| elative | hyperbolasta | hyperbolista | |
| illative | hyperbolaan | hyperboliin | |
| adessive | hyperbolalla | hyperbolilla | |
| ablative | hyperbolalta | hyperbolilta | |
| allative | hyperbolalle | hyperbolille | |
| essive | hyperbolana | hyperbolina | |
| translative | hyperbolaksi | hyperboliksi | |
| instructive | — | hyperbolin | |
| abessive | hyperbolatta | hyperbolitta | |
| comitative | — | hyperbolineen | |