# Acnode

From Encyclopedia of Mathematics

An older term, hardly used nowadays (2000), for an isolated point, or hermit point, of a plane algebraic curve (cf. also Algebraic curve).

Figure: a130100a

For instance, the point $(0,0)$ is an acnode of the curve $X^3+X^2+Y^2=0$ in $\mathbf R^2$.

#### References

[a1] | R.J. Walker, "Algebraic curves" , Princeton Univ. Press (1950) (Reprint: Dover 1962) |

**How to Cite This Entry:**

Acnode.

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Acnode&oldid=39018

This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article