The bars create parallelograms. Yellow parts are fixed together. Blue parts are fixed together. Input: green bar. Z1: tooth number of the small gear. Z2: tooth number of the large gear. Z2 = 2.Z1 L2: length of blue and green bars. L1: length of yellow and orange bars. If L1 / L2 = 0.267 The pink table translates along almost straight line (in green) (without a runway). Length of the straight line is around 1.5 X L2 (the input turn +/- 30 deg.). The video last scene is for case when the pink table moves in horizontal plane.
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