osculating circle
- noun
- /ˈɒskjʊleɪtɪŋ ˈsɜːrkl/
- Specialized
:
círculo osculador
- The osculating circle at a point on a parabola closely approximates the curve near that point.
Examples
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Engineers sometimes use the osculating circle to analyze the local curvature of a track.
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The osculating circle at point A has a specific radius.
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At the inflection point, the osculating circle becomes infinitely large as the curve's curvature approaches zero.
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An osculating circle can provide valuable insights into the curve's behavior.
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The osculating circle at the point of contact helps to approximate the curve's behavior in calculus.
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In geometry, the osculating circle provides the best circular approximation to a curve at a specific point.
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To analyze the curvature of the graph, we can find the osculating circle that touches it at that location.
Synonyms
A circle that touches a curve on its inside and matches its bend there
Surface Forms
Morphology
The phrase is compositionally formed from the verb 'osculate' (to have coincident tangent and curvature) plus 'circle', so a learner who knows those constituent meanings can infer it denotes a circle that touches a curve at a point and matches its curvature. Although the term is domain-specific and technical, the present-participle + noun pattern is regular and the core meaning is directly derivable from the parts.
Etymology
The noun osculating circle comes from a word that means 'to kiss', because the circle looks like it is kissing the curve at one point. So the name helps us remember that the circle touches the curve and matches the curve's small bend there.
