tangency

[ˈtændʒənsi]

tangency Definition

• 1. the state of touching a surface or line at only one point
• 2. a condition in which two curves or surfaces touch each other at a single point and have a common tangent at that point

Using tangency: Examples

Take a moment to familiarize yourself with how "tangency" can be used in various situations through the following examples!

• Example

  The tangency of the circle to the line is at point A.

• Example

  The tangency of the two curves is at point B.

tangency Synonyms and Antonyms

Synonyms for tangency

• contact
• touching
• intersection
• connection

Phrases with tangency

• point of tangency

  the point at which a curve or surface touches another curve or surface at only one point

  Example

  The point of tangency between the two circles is at point C.

• tangency problem

  a mathematical problem that involves finding the tangents to a given curve or surface

  Example

  The student struggled with the tangency problem on the math exam.

• tangency portfolio

  an investment portfolio that is designed to replicate the returns of a market index by holding a subset of the index's securities

  Example

  The investor decided to invest in a tangency portfolio to minimize risk.

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Summary: tangency in Brief

Tangency [ˈtændʒənsi] refers to the state of touching a surface or line at only one point. It also describes a condition in which two curves or surfaces touch each other at a single point and have a common tangent at that point. Examples include 'The tangency of the circle to the line is at point A.' and 'The tangency of the two curves is at point B.' Tangency extends into phrases like 'point of tangency,' which refers to the point at which a curve or surface touches another curve or surface at only one point.