English

Hydrostatic-Based Proofs in Geometry

Classical Physics 2025-05-23 v1

Abstract

Inspired by Tokieda's work on mechanical insights in geometry, we explore a hydrostatic approach to classical geometric problems. Using principles of fluid statics, we derive two mathematical results regarding polygons. These results illustrate how physical principles can assist in understanding mathematical identities.

Keywords

Cite

@article{arxiv.2505.15843,
  title  = {Hydrostatic-Based Proofs in Geometry},
  author = {Jaehyeon Kim},
  journal= {arXiv preprint arXiv:2505.15843},
  year   = {2025}
}

Comments

Accepted for publication for American Journal of Physics

R2 v1 2026-07-01T02:29:24.216Z