English

On the stability of four legged tables

Mathematical Physics 2010-04-05 v6 math.MP

Abstract

We prove that a perfect four-feet square table, posed in a continuous irregular ground with a local slope of at most 15 degrees can be put in equilibrium on the ground by a "rotation" of less than 90 degrees. We also discuss the case of non-square tables and make the conjecture that equilibrium can be found if the four feet are on a circle

Cite

@article{arxiv.math-ph/0510065,
  title  = {On the stability of four legged tables},
  author = {Andre Martin},
  journal= {arXiv preprint arXiv:math-ph/0510065},
  year   = {2010}
}
R2 v1 2026-07-22T16:26:52.682Z