As the Planimeter ’ s Wheel Turns : Planimeter Proofs for Calculus Class ∗
نویسنده
چکیده
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 stuffed dragons for her daughter.
منابع مشابه
Tractrices, Bicycle Tire Tracks, Hatchet Planimeters, and a 100-year-old Conjecture
The geometry of the tracks left by a bicycle has received much attention recently [9, 10, 11, 18, 20, 27]. In this paper we discuss the connection between the motion of a bicycle and that of a curious device known as a hatchet planimeter, and we will prove a conjecture about this planimeter that was made in 1906. Bicycle. We use a very simple model of a bicycle as a moving segment in the plane....
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