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Geometry of the tracks left by a bicycle is closely related with theso-called Prytz planimeter and with linear fractional transformations of thecomplex plane. We describe these relations, along with the history of theproblem, and give a proof of a conjecture made by Menzin in 1906.

Tractrices, Bicycle Tire Tracks, Hatchet Planimeters, and a 100-year-old Conjecture