Hyperbola: meaning, definitions and examples

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hyperbola

 

[ haษชหˆpษœหrbษ™lษ™ ]

Noun
Context #1 | Noun

mathematics shape

A hyperbola is a type of smooth curve lying in a plane defined by its geometric properties or equations. It is one of the conic sections defined by intersecting a cone with a plane. Hyperbolas are characterized by their two separate branches, which are mirror images of each other. They arise in various contexts such as physics, engineering, and data analysis, particularly where the relationship between two variables is not linear.

Synonyms

none

Examples of usage

  • The trajectory of a comet can be modeled by a hyperbola.
  • In geometry, a hyperbola can be defined by the difference of the distances to two fixed points.
  • Hyperbolas are commonly seen in the design of satellite dishes.
  • The equation of a hyperbola often involves asymptotes in its graph.

Translations

Translations of the word "hyperbola" in other languages:

๐Ÿ‡ต๐Ÿ‡น hipรฉrbola

๐Ÿ‡ฎ๐Ÿ‡ณ เคนเคพเค‡เคชเคฐเคฌเฅ‹เคฒเคพ

๐Ÿ‡ฉ๐Ÿ‡ช Hyperbel

๐Ÿ‡ฎ๐Ÿ‡ฉ hiperbola

๐Ÿ‡บ๐Ÿ‡ฆ ะณั–ะฟะตั€ะฑะพะปะฐ

๐Ÿ‡ต๐Ÿ‡ฑ hiperbola

๐Ÿ‡ฏ๐Ÿ‡ต ๅŒๆ›ฒ็ทš

๐Ÿ‡ซ๐Ÿ‡ท hyperbole

๐Ÿ‡ช๐Ÿ‡ธ hipรฉrbola

๐Ÿ‡น๐Ÿ‡ท hiperbola

๐Ÿ‡ฐ๐Ÿ‡ท ์Œ๊ณก์„ 

๐Ÿ‡ธ๐Ÿ‡ฆ ูุฑุทูŠุฉ

๐Ÿ‡จ๐Ÿ‡ฟ hyperbola

๐Ÿ‡ธ๐Ÿ‡ฐ hyperbola

๐Ÿ‡จ๐Ÿ‡ณ ๅŒๆ›ฒ็บฟ

๐Ÿ‡ธ๐Ÿ‡ฎ hiperbola

๐Ÿ‡ฎ๐Ÿ‡ธ hyperbola

๐Ÿ‡ฐ๐Ÿ‡ฟ ะณะธะฟะตั€ะฑะพะปะฐ

๐Ÿ‡ฌ๐Ÿ‡ช แƒฐแƒ˜แƒžแƒ”แƒ แƒ‘แƒแƒšแƒ

๐Ÿ‡ฆ๐Ÿ‡ฟ hiperbola

๐Ÿ‡ฒ๐Ÿ‡ฝ hipรฉrbola

Etymology

The word 'hyperbola' originates from the Greek word 'hyperbolฤ“', meaning 'excess' or 'overflow'. The term was used in mathematics to describe one of the conic sections discovered by ancient Greek mathematicians, notably by Apollonius of Perga, around 200 BC. The concept of the hyperbola continued to evolve over centuries, gaining significance in various fields of study such as physics and engineering. Hyperbolas were intriguing due to their unique properties and applications, particularly in the study of trajectories and optical systems. The mathematical study of hyperbolas has been further expanded in the modern era, making them an essential concept in high school and college level mathematics.

Word Frequency Rank

Positioned at #24,775, this word is part of extensive vocabulary. It's relatively rare in general usage but may be important in specific fields or formal writing.