Generating a Lemniscate II: Rotating Line

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Draw a line starting from the origin and intersecting each of two circles of equal radii in points ,
(depicted in yellow). The locus of the tip of a vector (in red) passing through point
and of length equal to the distance between
and
is a lemniscate. This Demonstration allows the rotation of this line. Note that some positions do not intersect any of the circles.
Contributed by: Jaime Rangel-Mondragon (March 2011)
Open content licensed under CC BY-NC-SA
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"Generating a Lemniscate II: Rotating Line"
http://demonstrations.wolfram.com/GeneratingALemniscateIIRotatingLine/
Wolfram Demonstrations Project
Published: March 7 2011