I want to design a stationary exercise bike, which implies circular rotational motion of the pedals around a fixed point, but that can, with the press of a button, transform into an elliptical training machine, that has an elliptical rotational motion around a fixed point, often far away from the actual pedals. Is this possible, engineering-wise? I can imagine displacing the rotational point of the cycling machine, so that it would still describe a circular motion.

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Victor J asked:

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