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arXiv · 2309.02174

The Prytz connections

Geir Bogfjellmo·Charles Curry·Sylvie Vega-Molino
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Abstract

The Prytz planimeter is a simple mechanical device that historically was used to approximate areas of plane regions. In this article, we present a mathematical description and analysis of the planimeter in terms of sub-Riemannian geometry and in terms of connections and horizontal lifts -- central concepts in differential geometry.

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Geir Bogfjellmo, Charles Curry, Sylvie Vega-Molino. 2023-09-05. The Prytz connections. https://arxiv.org/abs/2309.02174

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