The Kite & The Lemniscate
The BLUE kite is made two pairs of two fixed length segments. The BLUE dots are at the midpoints of the kite segments on which they lie.
One end of the dotted diagonal of the kite is fixed. The GREEN dot at the other end can be dragged along the circle on which it lies.
What will the paths of the BLUE dots be?
Adapted from an applet by Walerij Koschkin