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An older term, hardly used nowadays (2000), for an isolated point, or hermit point, of a plane algebraic curve (cf. also [[Algebraic curve|Algebraic curve]]).
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An older term, hardly used nowadays (2000), for an isolated point, or hermit point, of a plane [[algebraic curve]].
  
<img style="border:1px solid;" src="https://www.encyclopediaofmath.org/legacyimages/common_img/a130100a.gif" />
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[[File:Acnode.svg|center|200px|Acnode]]
  
Figure: a130100a
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For instance, the point $(0,0)$ is an acnode of the curve $X^3+X^2+Y^2=0$ in $\RR^2$.
 
 
For instance, the point <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a130/a130100/a1301001.png" /> is an acnode of the curve <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a130/a130100/a1301002.png" /> in <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a130/a130100/a1301003.png" />.
 
  
 
====References====
 
====References====
<table><TR><TD valign="top">[a1]</TD> <TD valign="top">  R.J. Walker,   "Algebraic curves" , Princeton Univ. Press (1950) (Reprint: Dover 1962)</TD></TR></table>
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* {{Ref|a1}} R.J. Walker, "Algebraic curves", ''Princeton Univ. Press'' (1950) (Reprint: ''Dover'' 1962)

Latest revision as of 19:19, 16 March 2023

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

Acnode

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

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://encyclopediaofmath.org/index.php?title=Acnode&oldid=15498
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article