Skip to main content
Select Source:

hyperbola

hyperbola (hīpûr´bələ), plane curve consisting of all points such that the difference between the distances from any point on the curve to two fixed points (foci) is the same for all points. It is the conic section formed by a plane cutting both nappes of the cone; it thus has two parts, or branches. The center of a hyperbola is the point halfway between its foci. The principal axis is the straight line through the foci. The vertices are the intersection of this axis with the curve. The transverse axis is the line segment joining the two vertices. The latus rectum is the chord through either focus perpendicular to the principal axis. The asymptotes are lines, in the same plane, which the curve approaches as it approaches infinity. An equilateral, or rectangular, hyperbola is one whose asymptotes are perpendicular. A second hyperbola may be drawn whose asymptotes are identical with those of the given hyperbola and whose principal axis is a perpendicular line through the center; the two hyperbolas thus related are called conjugate.

Cite this article
Pick a style below, and copy the text for your bibliography.

  • MLA
  • Chicago
  • APA

"hyperbola." The Columbia Encyclopedia, 6th ed.. . Encyclopedia.com. 19 Apr. 2018 <http://www.encyclopedia.com>.

"hyperbola." The Columbia Encyclopedia, 6th ed.. . Encyclopedia.com. (April 19, 2018). http://www.encyclopedia.com/reference/encyclopedias-almanacs-transcripts-and-maps/hyperbola

"hyperbola." The Columbia Encyclopedia, 6th ed.. . Retrieved April 19, 2018 from Encyclopedia.com: http://www.encyclopedia.com/reference/encyclopedias-almanacs-transcripts-and-maps/hyperbola

Learn more about citation styles

Citation styles

Encyclopedia.com gives you the ability to cite reference entries and articles according to common styles from the Modern Language Association (MLA), The Chicago Manual of Style, and the American Psychological Association (APA).

Within the “Cite this article” tool, pick a style to see how all available information looks when formatted according to that style. Then, copy and paste the text into your bibliography or works cited list.

Because each style has its own formatting nuances that evolve over time and not all information is available for every reference entry or article, Encyclopedia.com cannot guarantee each citation it generates. Therefore, it’s best to use Encyclopedia.com citations as a starting point before checking the style against your school or publication’s requirements and the most-recent information available at these sites:

Modern Language Association

http://www.mla.org/style

The Chicago Manual of Style

http://www.chicagomanualofstyle.org/tools_citationguide.html

American Psychological Association

http://apastyle.apa.org/

Notes:
  • Most online reference entries and articles do not have page numbers. Therefore, that information is unavailable for most Encyclopedia.com content. However, the date of retrieval is often important. Refer to each style’s convention regarding the best way to format page numbers and retrieval dates.
  • In addition to the MLA, Chicago, and APA styles, your school, university, publication, or institution may have its own requirements for citations. Therefore, be sure to refer to those guidelines when editing your bibliography or works cited list.

hyperbola

hy·per·bo·la / hīˈpərbələ/ • n. (pl. -bo·las or -bo·lae / -bəlē/ ) a symmetrical open curve formed by the intersection of a cone with a plane at a smaller angle with its axis than the side of the cone. ∎ Math. the pair of such curves formed by the intersection of a plane with two equal cones on opposites of the same vertex.

hyperbola

Cite this article
Pick a style below, and copy the text for your bibliography.

  • MLA
  • Chicago
  • APA

"hyperbola." The Oxford Pocket Dictionary of Current English. . Encyclopedia.com. 19 Apr. 2018 <http://www.encyclopedia.com>.

"hyperbola." The Oxford Pocket Dictionary of Current English. . Encyclopedia.com. (April 19, 2018). http://www.encyclopedia.com/humanities/dictionaries-thesauruses-pictures-and-press-releases/hyperbola-0

"hyperbola." The Oxford Pocket Dictionary of Current English. . Retrieved April 19, 2018 from Encyclopedia.com: http://www.encyclopedia.com/humanities/dictionaries-thesauruses-pictures-and-press-releases/hyperbola-0

Learn more about citation styles

Citation styles

Encyclopedia.com gives you the ability to cite reference entries and articles according to common styles from the Modern Language Association (MLA), The Chicago Manual of Style, and the American Psychological Association (APA).

Within the “Cite this article” tool, pick a style to see how all available information looks when formatted according to that style. Then, copy and paste the text into your bibliography or works cited list.

Because each style has its own formatting nuances that evolve over time and not all information is available for every reference entry or article, Encyclopedia.com cannot guarantee each citation it generates. Therefore, it’s best to use Encyclopedia.com citations as a starting point before checking the style against your school or publication’s requirements and the most-recent information available at these sites:

Modern Language Association

http://www.mla.org/style

The Chicago Manual of Style

http://www.chicagomanualofstyle.org/tools_citationguide.html

American Psychological Association

http://apastyle.apa.org/

Notes:
  • Most online reference entries and articles do not have page numbers. Therefore, that information is unavailable for most Encyclopedia.com content. However, the date of retrieval is often important. Refer to each style’s convention regarding the best way to format page numbers and retrieval dates.
  • In addition to the MLA, Chicago, and APA styles, your school, university, publication, or institution may have its own requirements for citations. Therefore, be sure to refer to those guidelines when editing your bibliography or works cited list.

hyperbola

hyperbola Plane curve traced out by a point that moves so that its distance from a fixed point bears a constant ratio, greater than one, to its distance from a fixed straight line. The fixed point is the focus, the ratio is the eccentricity, and the fixed line is the directrix. The curve has two branches and is a conic section. Its standard equation in Cartesian coordinates x and y is x2/a2y2/b2 = 1.

Cite this article
Pick a style below, and copy the text for your bibliography.

  • MLA
  • Chicago
  • APA

"hyperbola." World Encyclopedia. . Encyclopedia.com. 19 Apr. 2018 <http://www.encyclopedia.com>.

"hyperbola." World Encyclopedia. . Encyclopedia.com. (April 19, 2018). http://www.encyclopedia.com/environment/encyclopedias-almanacs-transcripts-and-maps/hyperbola

"hyperbola." World Encyclopedia. . Retrieved April 19, 2018 from Encyclopedia.com: http://www.encyclopedia.com/environment/encyclopedias-almanacs-transcripts-and-maps/hyperbola

Learn more about citation styles

Citation styles

Encyclopedia.com gives you the ability to cite reference entries and articles according to common styles from the Modern Language Association (MLA), The Chicago Manual of Style, and the American Psychological Association (APA).

Within the “Cite this article” tool, pick a style to see how all available information looks when formatted according to that style. Then, copy and paste the text into your bibliography or works cited list.

Because each style has its own formatting nuances that evolve over time and not all information is available for every reference entry or article, Encyclopedia.com cannot guarantee each citation it generates. Therefore, it’s best to use Encyclopedia.com citations as a starting point before checking the style against your school or publication’s requirements and the most-recent information available at these sites:

Modern Language Association

http://www.mla.org/style

The Chicago Manual of Style

http://www.chicagomanualofstyle.org/tools_citationguide.html

American Psychological Association

http://apastyle.apa.org/

Notes:
  • Most online reference entries and articles do not have page numbers. Therefore, that information is unavailable for most Encyclopedia.com content. However, the date of retrieval is often important. Refer to each style’s convention regarding the best way to format page numbers and retrieval dates.
  • In addition to the MLA, Chicago, and APA styles, your school, university, publication, or institution may have its own requirements for citations. Therefore, be sure to refer to those guidelines when editing your bibliography or works cited list.

hyperbola

hyperbola. Conic section formed by the intersection of a plane with both branches of a double cone (two identical cones on either side of the same vertex or pointed top).

Cite this article
Pick a style below, and copy the text for your bibliography.

  • MLA
  • Chicago
  • APA

"hyperbola." A Dictionary of Architecture and Landscape Architecture. . Encyclopedia.com. 19 Apr. 2018 <http://www.encyclopedia.com>.

"hyperbola." A Dictionary of Architecture and Landscape Architecture. . Encyclopedia.com. (April 19, 2018). http://www.encyclopedia.com/education/dictionaries-thesauruses-pictures-and-press-releases/hyperbola

"hyperbola." A Dictionary of Architecture and Landscape Architecture. . Retrieved April 19, 2018 from Encyclopedia.com: http://www.encyclopedia.com/education/dictionaries-thesauruses-pictures-and-press-releases/hyperbola

Learn more about citation styles

Citation styles

Encyclopedia.com gives you the ability to cite reference entries and articles according to common styles from the Modern Language Association (MLA), The Chicago Manual of Style, and the American Psychological Association (APA).

Within the “Cite this article” tool, pick a style to see how all available information looks when formatted according to that style. Then, copy and paste the text into your bibliography or works cited list.

Because each style has its own formatting nuances that evolve over time and not all information is available for every reference entry or article, Encyclopedia.com cannot guarantee each citation it generates. Therefore, it’s best to use Encyclopedia.com citations as a starting point before checking the style against your school or publication’s requirements and the most-recent information available at these sites:

Modern Language Association

http://www.mla.org/style

The Chicago Manual of Style

http://www.chicagomanualofstyle.org/tools_citationguide.html

American Psychological Association

http://apastyle.apa.org/

Notes:
  • Most online reference entries and articles do not have page numbers. Therefore, that information is unavailable for most Encyclopedia.com content. However, the date of retrieval is often important. Refer to each style’s convention regarding the best way to format page numbers and retrieval dates.
  • In addition to the MLA, Chicago, and APA styles, your school, university, publication, or institution may have its own requirements for citations. Therefore, be sure to refer to those guidelines when editing your bibliography or works cited list.

hyperbola

hyperbolaareola, rubeola •Viola •dueller (US dueler), jeweller (US jeweler) •babbler, dabbler, parabola •labeller (US labeler) •dribbler, nibbler, quibbler, scribbler •libeller (US libeler) •hobbler, nobbler, squabbler, wobbler •bubbler •fumbler, mumbler, rumbler •burbler, hyperbola •bachelor •paddler, straddler •mandala • panhandler • meddler •ladler • wheedler •diddler, piddler, riddler, tiddler, twiddler •coddler, modeller (US modeler), toddler, twaddler, waddler •fondler, gondola •yodeller (US yodeler) •doodler •muddler, puddler •hurdler • waffler •shuffler, snuffler •haggler, straggler •mangler, wangler •finagler •giggler, wiggler, wriggler •smuggler, struggler •pergola • heckler •Agricola, Nicola, pickler, tickler, tricolour (US tricolor) •chronicler •snorkeller (US snorkeler) •chuckler •enameller (US enameler) •signaller (US signaler) •tunneller (US tunneler) •grappler • stapler •stippler, tippler •Coppola •gospeller (US gospeler) •cupola •caroller (US caroler) •Kerala •quarreller (US quarreler) •chancellor •penciller (US penciler) •whistler •battler, prattler, rattler, tattler •dismantler • startler •fettler, settler, settlor •belittler, victualler (US victualer) •hospitaller (US hospitaler) •bottler, throttler •hosteller (US hosteler) •caviller (US caviler), traveller (US traveler) •marveller (US marveler) •leveller (US leveler), reveller (US reveler) •driveller (US driveler), sniveller (US sniveler) •groveller (US groveler) •shoveler, shoveller •chiseller (US chiseler), sizzler •bamboozler, methuselah •guzzler

Cite this article
Pick a style below, and copy the text for your bibliography.

  • MLA
  • Chicago
  • APA

"hyperbola." Oxford Dictionary of Rhymes. . Encyclopedia.com. 19 Apr. 2018 <http://www.encyclopedia.com>.

"hyperbola." Oxford Dictionary of Rhymes. . Encyclopedia.com. (April 19, 2018). http://www.encyclopedia.com/humanities/dictionaries-thesauruses-pictures-and-press-releases/hyperbola

"hyperbola." Oxford Dictionary of Rhymes. . Retrieved April 19, 2018 from Encyclopedia.com: http://www.encyclopedia.com/humanities/dictionaries-thesauruses-pictures-and-press-releases/hyperbola

Learn more about citation styles

Citation styles

Encyclopedia.com gives you the ability to cite reference entries and articles according to common styles from the Modern Language Association (MLA), The Chicago Manual of Style, and the American Psychological Association (APA).

Within the “Cite this article” tool, pick a style to see how all available information looks when formatted according to that style. Then, copy and paste the text into your bibliography or works cited list.

Because each style has its own formatting nuances that evolve over time and not all information is available for every reference entry or article, Encyclopedia.com cannot guarantee each citation it generates. Therefore, it’s best to use Encyclopedia.com citations as a starting point before checking the style against your school or publication’s requirements and the most-recent information available at these sites:

Modern Language Association

http://www.mla.org/style

The Chicago Manual of Style

http://www.chicagomanualofstyle.org/tools_citationguide.html

American Psychological Association

http://apastyle.apa.org/

Notes:
  • Most online reference entries and articles do not have page numbers. Therefore, that information is unavailable for most Encyclopedia.com content. However, the date of retrieval is often important. Refer to each style’s convention regarding the best way to format page numbers and retrieval dates.
  • In addition to the MLA, Chicago, and APA styles, your school, university, publication, or institution may have its own requirements for citations. Therefore, be sure to refer to those guidelines when editing your bibliography or works cited list.