Hyperbola: meaning, definitions and examples
๐
hyperbola
[ haษชหpษหrbษlษ ]
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:
๐ต๐น hipรฉrbola
๐ฎ๐ณ เคนเคพเคเคชเคฐเคฌเฅเคฒเคพ
๐ฉ๐ช Hyperbel
๐ฎ๐ฉ hiperbola
๐บ๐ฆ ะณัะฟะตัะฑะพะปะฐ
๐ต๐ฑ hiperbola
๐ฏ๐ต ๅๆฒ็ท
๐ซ๐ท hyperbole
๐ช๐ธ hipรฉrbola
๐น๐ท hiperbola
๐ฐ๐ท ์๊ณก์
๐ธ๐ฆ ูุฑุทูุฉ
๐จ๐ฟ hyperbola
๐ธ๐ฐ hyperbola
๐จ๐ณ ๅๆฒ็บฟ
๐ธ๐ฎ hiperbola
๐ฎ๐ธ hyperbola
๐ฐ๐ฟ ะณะธะฟะตัะฑะพะปะฐ
๐ฌ๐ช แฐแแแแ แแแแ
๐ฆ๐ฟ hiperbola
๐ฒ๐ฝ 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.