Contact (mathematics) - Contact Between Curves

Contact Between Curves

Two curves in the plane intersecting at a point p are said to have:

  • 1-point contact if the curves have a simple crossing (not tangent).
  • 2-point contact if the two curves are tangent.
  • 3-point contact if the curvatures of the curves are equal. Such curves are said to be osculating.
  • 4-point contact if the derivatives of the curvature are equal.
  • 5-point contact if the second derivatives of the curvature are equal.

Read more about this topic:  Contact (mathematics)

Famous quotes containing the words contact and/or curves:

    My profession brought me in contact with various minds. Earnest, serious discussion on the condition of woman enlivened my business room; failures of banks, no dividends from railroads, defalcations of all kinds, public and private, widows and orphans and unmarried women beggared by the dishonesty, or the mismanagement of men, were fruitful sources of conversation; confidence in man as a protector was evidently losing ground, and women were beginning to see that they must protect themselves.
    Harriot K. Hunt (1805–1875)

    At the end of every diet, the path curves back toward the trough.
    Mason Cooley (b. 1927)