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This linkage is an application of Peaucellier's inversor. Varying the radius of the rods gives rise to a family of cissoids with a bump, a cusp, and a loop. Click on "show geometry". The points P and Q are fixed points nailed to the board. Point O rotates around P. Point Q' is the inverse of point Q in the dashed inversion circle centered at O. A pencil anchored in Q' draws the cissoid. The radius of the dotted circle is ... , with ... the length of the four shorter rods, ... the length of the two long rods.
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