The article presents proofs for the rolling and polar planimeters using Green's theorem and provides analysis of the design of radial planimeters that calculate a desired integral. The proofs are suitable for use in a vector calculus course. A radial planimeter measures the mean height of a ...
The College Mathematics JournalLeise, T. "As the Planimeter's Wheel Turns: Planimeter Proofs for calculus Class", The College Mathematics Journal 38, 1, Jan. 2007, pp. 24-31.Tanya Leise, As the Planimeter's Wheel Turns: Planimeter Proofs for Calculus Class, https://tleise.people.amherst....