Generating a Lemniscate II: Rotating Line

rotate line

Draw a line starting from the origin and intersecting each of two circles of equal radii in points

a

,

b

(depicted in yellow). The locus of the tip of a vector (in red) passing through point

a

and of length equal to the distance between

a

and

b

is a lemniscate. This Demonstration allows the rotation of this line. Note that some positions do not intersect any of the circles.