Kempe's Universality Theorem: An Example
Roughly, Kempe's universality theorem states that any finite part of a plane algebraic curve can be traced out by a vertex of some linkage. This Demonstration illustrates a particular example: there exists a linkage such that, if the point is forced to move on the straight line , the point moves on the hyperbola .[more]
On the curve, , so that .[less]
E. D. Demaine and J. O'Rourke, Geometric Folding Algorithms: Linkages, Origami, Polyhedra, New York: Cambridge University Press, 2007 pp. 31–36.