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Generating a Lemniscate II: Rotating Line

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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.
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