Namespaces
Variants
Actions

Tacnode

From Encyclopedia of Mathematics
Revision as of 17:08, 7 February 2011 by 127.0.0.1 (talk) (Importing text file)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

point of osculation, osculation point, double cusp

The third in the series of -curve singularities. The point is a tacnode of the curve in .

The first of the -curve singularities are: an ordinary double point, also called a node or crunode; the cusp, or spinode; the tacnode; and the ramphoid cusp.

They are exemplified by the curves for .

The terms "crunode" and "spinode" are seldom used nowadays (2000).

See also Node; Cusp.

References

[a1] A. Dimca, "Topics on real and complex singularities" , Vieweg (1987) pp. 175
[a2] R.J. Walker, "Algebraic curves" , Princeton Univ. Press (1950) (Reprint: Dover 1962)
[a3] Ph. Griffiths, J. Harris, "Principles of algebraic geometry" , Wiley (1978) pp. 293; 507
[a4] S.S. Abhyankar, "Algebraic geometry for scientists and engineers" , Amer. Math. Soc. (1990) pp. 3; 60
How to Cite This Entry:
Tacnode. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Tacnode&oldid=23988
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article