Green's Theorem and the Planimeter

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Contents

1. Iterated Integrals and Line Integrals

2. A Link Between Line Integrals and Iterated Integrals

3. Calculating Areas in the Plane

4. Experiments with the Planimeter

5. A Mathematical Model for the Planimeter

6. Summary

Applets:

1. The planimeter

2. Measuring with the planimeter