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tangency

tangency

9.9
The point where a curve or surface touches another without crossing it
  • noun
  • /ˈtæn.dʒən.si/
  • Specialized
translation icon : tangencia
  • The tangent line intersects the curve at the point of tangency, and the slope of the curve at the point of tangency is the same as the slope of the tangent line through that point.

Examples

  • It turns out then that I want to pick the point which has a tangency with the efficient portfolio frontier.

  • So the capital market line, the equation for that tangency line is given by this.

  • And then finally, the final step is to find what is the tangency line that goes through the riskless rate.

  • So we have to see what the degree of the condition is of tangency and with conic with circles I could draw it for you.

  • We get that by the tangency between the ISO quant and the ISO cost.

  • These first-order conditions have the characteristics of a demand curve because they arise from the tangency between indifference curves and linear elements of the budget constraint or from corners definable in the same way.

    Academic text (1991)
  • At the point of tangency, the two curves touch without crossing each other.

  • The tangency between the two surfaces ensures that they meet at just one point.

  • In geometry, tangency describes the relationship when a line touches a circle at exactly one point.

Synonyms

osculation
vstangency
  • Specialized
9.9

A point where two curves or surfaces touch and have the same direction

describes the overall condition of touching without crossing rather than the single point

Surface Forms

tangency singular
tangencies plural

Morphology

tangency = tangent (transparent) = tangent + cy

A direct nominalization of the adjective 'tangent' indicating the mathematical condition of two curves or surfaces touching, which follows regular English morphology.

Etymology

Tangency comes from the Latin tangere, meaning 'to touch', and shares the same root as tangent and tangible. In geometry it means the place where two shapes 'touch' at a single point without crossing, so the word names that touching point.