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Difference between revisions of "Acnode"

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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]]).
 
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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Figure: a130100a
 
Figure: a130100a
  
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" />.
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For instance, the point $(0,0)$ is an acnode of the curve $X^3+X^2+Y^2=0$ in $\mathbf R^2$.
  
 
====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>
 
<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>

Revision as of 19:24, 20 July 2016

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://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