Difference between revisions of "Flecnode"
From Encyclopedia of Mathematics
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''on a planar curve'' | ''on a planar curve'' | ||
| − | A point at which a node (or double point; cf. also [[ | + | A point at which a node (or double point; cf. also [[Node]]) and an inflection (cf. also [[Point of inflection]]) coincide. |
| − | Thus, one of the tangents at the node has intersection multiplicity at least | + | Thus, one of the tangents at the node has intersection multiplicity at least $4$ with the curve at that point. |
====References==== | ====References==== | ||
| − | <table><TR><TD valign="top">[a1]</TD> <TD valign="top"> J.W. Bruce, "Lines, surfaces and duality" ''Math. Proc. Cambridge Philos. Soc.'' , '''112''' (1992) pp. 53–61</TD></TR><TR><TD valign="top">[a2]</TD> <TD valign="top"> M. Tsuboko, "On the line complex determinant of flecnode tangents of a ruled surface and its flecnodal surfaces" ''Memoirs Ryojun Coll. Engin.'' , '''11''' (1938) pp. 233–238</TD></TR></table> | + | <table> |
| + | <TR><TD valign="top">[a1]</TD> <TD valign="top"> J.W. Bruce, "Lines, surfaces and duality" ''Math. Proc. Cambridge Philos. Soc.'' , '''112''' (1992) pp. 53–61</TD></TR> | ||
| + | <TR><TD valign="top">[a2]</TD> <TD valign="top"> M. Tsuboko, "On the line complex determinant of flecnode tangents of a ruled surface and its flecnodal surfaces" ''Memoirs Ryojun Coll. Engin.'' , '''11''' (1938) pp. 233–238</TD></TR> | ||
| + | </table> | ||
Latest revision as of 20:45, 28 December 2014
on a planar curve
A point at which a node (or double point; cf. also Node) and an inflection (cf. also Point of inflection) coincide.
Thus, one of the tangents at the node has intersection multiplicity at least $4$ with the curve at that point.
References
| [a1] | J.W. Bruce, "Lines, surfaces and duality" Math. Proc. Cambridge Philos. Soc. , 112 (1992) pp. 53–61 |
| [a2] | M. Tsuboko, "On the line complex determinant of flecnode tangents of a ruled surface and its flecnodal surfaces" Memoirs Ryojun Coll. Engin. , 11 (1938) pp. 233–238 |
How to Cite This Entry:
Flecnode. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Flecnode&oldid=18929
Flecnode. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Flecnode&oldid=18929
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article