Osculating: meaning, definitions and examples
๐
osculating
[ ษskjสหleษชtษชล ]
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:
๐ต๐น osculando
๐ฎ๐ณ เคเฅเคฎเฅเคฌเคจ เคเคฐเคจเคพ
๐ฉ๐ช kรผssen
๐ฎ๐ฉ berciuman
๐บ๐ฆ ััะปัะฒะฐัะธ
๐ต๐ฑ caลujฤ cy
๐ฏ๐ต ใญในใใ
๐ซ๐ท embrassant
๐ช๐ธ besando
๐น๐ท รถpme
๐ฐ๐ท ํค์คํ๋
๐ธ๐ฆ ููุจู
๐จ๐ฟ lรญbat
๐ธ๐ฐ bozkรกvajรบci
๐จ๐ณ ไบฒๅป
๐ธ๐ฎ poljubljanje
๐ฎ๐ธ kyssa
๐ฐ๐ฟ าาฑัะฐาัะฐั
๐ฌ๐ช แแแชแแ
๐ฆ๐ฟ รถpmษk
๐ฒ๐ฝ 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.