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Glite Dictionary
📈 Touching curves 💋 A kiss
osculation

osculation

9.9
A point where two curves or surfaces touch and have the same direction
  • noun
  • /ˌɒskjʊˈleɪʃən/
  • Specialized
translation icon : osculación
  • The osculation between the two graphs is crucial for understanding their behavior.

Examples

  • At the point of osculation, the curves share a common tangent.

  • The osculation of the two circles occurs precisely at the point where they are tangent.

  • At the point of osculation, the two curves not only meet but also share the same direction.

  • In differential geometry, studying osculation helps in understanding the local behavior of surfaces.

  • In mathematics, the osculation occurs at the precise point where two curves touch.

  • The osculation of the two surfaces created a smooth transition that was visually stunning.

  • Understanding osculation is essential for solving complex problems in geometry.

Synonyms

tangency
vsosculation
  • Specialized
9.9

The point where a curve or surface touches another without crossing it

focuses on touching plus sharing the same direction at that contact point

Surface Forms

osculation singular
osculations plural

Morphology

osculation = osculate (opaque) = oscul + ation

The term 'osculation' is derived from 'osculate', but its mathematical meaning is not immediately apparent from the base word.

Etymology

Osculation comes from the Latin word osculum 'kiss', which is a small form of os 'mouth', so it originally meant a tiny 'kiss' or touch; in mathematics this image explains the meaning — two curves that 'kiss' meet and share the same direction.