Fix a
plane algebraic curve in
real 2-space, a
point
P in 2-space, and a positive real number
d. Associated to
this data is a
conchoid.
This is the set of points Q
in R2 such that
-
the line through P and Q intersects the curve
-
the intersection point is distance d from Q.
For examples see conchoid of Nicomedes, conchoid of de Sluze.