From Encyclopedia of Mathematics
Revision as of 17:26, 7 February 2011 by (talk) (Importing text file)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

of a curve

The planar curve obtained by increasing or decreasing the position vector of each point of a given planar curve by a segment of constant length . If the equation of the given curve is in polar coordinates, then the equation of its conchoid has the form: . Examples: the conchoid of a straight line is called the Nicomedes conchoid; the conchoid of a circle is called the Pascal limaçon.



[a1] J.D. Lawrence, "A catalog of special plane curves" , Dover, reprint (1972)
How to Cite This Entry:
Conchoid. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by D.D. Sokolov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article