##### Department of Mathematics,

University of California San Diego

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### Math 196/296 - Student Colloquium

## John Eggers

#### UCSD

## The Compensating Polar Planimeter

##### Abstract:

A planimeter is a device that can measure the area of a region by tracing its perimeter. We will see how the polar planimeter is an elegant practical example of Green's theorem. We will use Green's theorem to elucidate various features of the polar planimeter, such as the neutral circle and what a compensating polar planimeter compensates for. I will show off several examples of planimeters, including polar, rolling and radial planimeters.

### October 20, 2009

### 12:00 PM

### AP&M B412

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