C.a.R. > Applications > Curves > Cissoid
The centric reflection of a circle at the line x=1. Move P to see how the reflection works. It has the equations
(x,y) -> (2-x,(2-x)/x*y)
For the specific circle in (1,0) with radius 1, we get
(1-x)^2+(2-x)^2/x^2*y^2 = 1
This is called a cissoid. You can drag the circle center and radius too.
The curve is a track here.