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tangent

tangent

1 7.2
A straight line that touches a curved line at one point without crossing it
  • noun
  • /ˈtæn.dʒənt/
  • Specialized
translation icon : tangente
  • This would be the equation of the tangent line at that point.
  • tangent plane
  • tangent line
  • tangent point

And the slope of that tangent is the coefficient.

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Examples

  • Determine the equation of the tangent line to the graph.

  • Let's ask how the tangent vector varies along the curve.

  • The tangent space would be the flat tangent to the to the surface.

  • The slope of the tangent line is four.

  • So this is the equation of the tangent line in point slope form.

  • But really, what it's telling you is the slope of the line tangent to the curve.

  • The unit tangent vector t points in the direction of increasing arc length l along a given boundary.

    Academic text (2018)
  • During a grazing occultation, the star seems to move along a line tangent to the lunar disk.

    Academic text (1993)
  • And here's an example calculating the slope of the tangent to a parabola.

  • In calculus, the tangent line touches the curve at exactly one point without crossing it.

Synonyms

tangent plane
vstangent
  • Specialized
8.6

A flat surface that just touches a curved surface at one point

is a broader form meaning a line or plane that touches without crossing

Compounds

arc tangent
  • Specialized
1 7.9

The angle whose tangent equals a given number

inverse tangent
  • Specialized
1 6.5

A math function that gives the angle whose tangent equals a number

tangent plane
  • Specialized
8.6

A flat surface that just touches a curved surface at one point

tangent curve
  • Specialized
8.1

A graph showing how tan x values change as the angle x changes

Surface Forms

tangent singular
tangents plural

Etymology

Tangent comes from the Latin tangere 'to touch'. In geometry a tangent is a line that 'touches' a curve at one point without crossing it, which explains the name.