The Prytz connections
Differential Geometry
2023-09-06 v1
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.
Cite
@article{arxiv.2309.02174,
title = {The Prytz connections},
author = {Geir Bogfjellmo and Charles Curry and Sylvie Vega-Molino},
journal= {arXiv preprint arXiv:2309.02174},
year = {2023}
}