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:
“For those parents from lower-class and minority communities ... [who] have had minimal experience in negotiating dominant, external institutions or have had negative and hostile contact with social service agencies, their initial approaches to the school are often overwhelming and difficult. Not only does the school feel like an alien environment with incomprehensible norms and structures, but the families often do not feel entitled to make demands or force disagreements.”
—Sara Lawrence Lightfoot (20th century)
“At the end of every diet, the path curves back toward the trough.”
—Mason Cooley (b. 1927)