Osculating: meaning, definitions and examples

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osculating

 

[ ษ’skjสŠหŒleษชtษชล‹ ]

Verb
Context #1 | Verb

mathematical terms

Osculating refers to the process of touching or making contact with another geometric shape or curve at a specific point. This term is often used in the context of curves, where it describes how one curve approximates another curve at a point. The concept is crucial in differential geometry, where it aids in understanding the properties of curves and surfaces. Osculation can also relate to the behavior of functions or sequences as they approach a limit.

Synonyms

approximating, tangential, touching

Examples of usage

  • The parabola is osculating the circle at the contact point.
  • In calculus, we study the osculating circle to understand curvature.
  • The osculating plane provides insight into surface behaviors.

Translations

Translations of the word "osculating" in other languages:

๐Ÿ‡ต๐Ÿ‡น osculando

๐Ÿ‡ฎ๐Ÿ‡ณ เคšเฅเคฎเฅเคฌเคจ เค•เคฐเคจเคพ

๐Ÿ‡ฉ๐Ÿ‡ช kรผssen

๐Ÿ‡ฎ๐Ÿ‡ฉ berciuman

๐Ÿ‡บ๐Ÿ‡ฆ ั†ั–ะปัƒะฒะฐั‚ะธ

๐Ÿ‡ต๐Ÿ‡ฑ caล‚ujฤ…cy

๐Ÿ‡ฏ๐Ÿ‡ต ใ‚ญใ‚นใ™ใ‚‹

๐Ÿ‡ซ๐Ÿ‡ท embrassant

๐Ÿ‡ช๐Ÿ‡ธ besando

๐Ÿ‡น๐Ÿ‡ท รถpme

๐Ÿ‡ฐ๐Ÿ‡ท ํ‚ค์Šคํ•˜๋Š”

๐Ÿ‡ธ๐Ÿ‡ฆ ูŠู‚ุจู„

๐Ÿ‡จ๐Ÿ‡ฟ lรญbat

๐Ÿ‡ธ๐Ÿ‡ฐ bozkรกvajรบci

๐Ÿ‡จ๐Ÿ‡ณ ไบฒๅป

๐Ÿ‡ธ๐Ÿ‡ฎ poljubljanje

๐Ÿ‡ฎ๐Ÿ‡ธ kyssa

๐Ÿ‡ฐ๐Ÿ‡ฟ า›าฑัˆะฐา›ั‚ะฐัƒ

๐Ÿ‡ฌ๐Ÿ‡ช แƒ™แƒแƒชแƒœแƒ

๐Ÿ‡ฆ๐Ÿ‡ฟ รถpmษ™k

๐Ÿ‡ฒ๐Ÿ‡ฝ besando

Etymology

The term 'osculating' originates from the Latin word 'osculare', which means 'to kiss'. In earlier uses, it conveyed the idea of touching or meeting. The transition of the word into mathematical terminology occurred in the 19th century when mathematicians began using it to describe the concept of one curve touching another curve at a particular point. The metaphor of 'kissing' provides a visual image of how two curves can be close together at a point, making the term particularly apt in the context of geometry. As calculus and differential geometry developed, 'osculating' became more formally defined, aiding in the exploration of curvature and the properties of various geometric figures.

Word Frequency Rank

Ranking #35,339, this word is encountered relatively rarely in everyday English. It might appear in literary works or specialized texts but isn't essential for general communication.