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Replying to @JDHamkins
Now the obvious exercise is: use a computer algebra system and elimination theory to derive an (implicit) algebraic equation for this curve.
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Replying to @gro_tsen @JDHamkins
I thought the opposite: the obvious exercise is taking a given (arbitrary? Constrained somehow?) Curve in ℝ² and construct the linkage that generates it...
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In fact, this turns out to be rather tricky to get right: https://en.wikipedia.org/wiki/Kempe%27s_universality_theorem …
9:30 AM - 20 Sep 2019
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