منابع مشابه
On Bicycle Tire Tracks Geometry, Hatchet Planimeter, Menzin's Conjecture, and Oscillation of Unicycle Tracks
The model of a bicycle is a unit segment AB that can move in the plane so that it remains tangent to the trajectory of point A (the rear wheel is fixed on the bicycle frame); the same model describes the hatchet planimeter. The trajectory of the front wheel and the initial position of the bicycle uniquely determine its motion and its terminal position; the monodromy map sending the initial posi...
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Tanya Leise ([email protected]) received her Ph.D. from Texas A&M University and is captivated by applied mathematics in many contexts, from accelerating cracks to biological clocks. Of particular interest to her recently has been the mathematics of mechanical devices such as astrolabes and planimeters, which are also great fun to collect. When not doing math, she enjoys cycling and sewing stu...
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ژورنال
عنوان ژورنال: Reports on Mathematical Physics
سال: 1998
ISSN: 0034-4877
DOI: 10.1016/s0034-4877(98)80013-x