Kampyle of Eudoxus
from which the solution x = y = 0 should be excluded.
In polar coordinates, the Kampyle has the equation
Equivalently, it has a parametric representation as,
The Kampyle is symmetric about both the - and -axes. It crosses the -axis at and . It has inflection points at
(four inflections, one in each quadrant). The top half of the curve is asymptotic to as , and in fact can be written as
is the th Catalan number.
- J. Dennis Lawrence (1972). A catalog of special plane curves. Dover Publications. pp. 141–142. ISBN 0-486-60288-5.