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Tangency vs Tractrix - What's the difference?

tangency | tractrix |

As nouns the difference between tangency and tractrix

is that tangency is the state of being tangent; an instance of (something) being tangent while tractrix is the curve that satisfies the following property: That segment of the tangent line that lies between the point of tangency and a fixed line has length independent of the point of tangency chosen.

tangency

English

Alternative forms

* tangence (relatively rare)

Noun

(tangencies)
  • The state of being tangent; an instance of (something) being tangent.
  • * 1999 , H. Flenner, L. O?Carroll, W. Vogel, Joins and Intersections , page 131,
  • In this section we will apply the concept of connectedness in dimension d to study tangencies of algebraic varieties.
  • * 2004 , David A. Madsen et al., Engineering Drawing & Design , 3rd Edition, page 160,
  • To be tangent to a circle or arc, a line must touch the circle or arc at only one point, and a line drawn from the center of the circle or arc must be perpendicular to the tangent line at the point of tangency . (See Figure 6.82.)
  • * 2011 , Steven E. Landsburg, Price Theory and Applications , 8th Edition, page 83,
  • If the original tangency' is at A, then the new '''tangency''' cannot be at O or P, as either possibility would require two indifference curves to cross.Instead, the new ' tangency is at a point like B.

    Derived terms

    * tangency portfolio

    See also

    * transversality

    tractrix

    English

    Noun

    (tractrices)
  • The curve that satisfies the following property: That segment of the tangent line that lies between the point of tangency and a fixed line has length independent of the point of tangency chosen.