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Hydrostatic-Based Proofs in Geometry

2025/05/18 by Kim, Jaehyeon
Engineering · #Advanced Numerical Analysis Techniques #Classical Physics (physics.class-ph) #FOS: Physical sciences #Robotic Mechanisms and Dynamics

paper · pdf · doi:10.48550/arxiv.2505.15843

openalex publication_date 2025/05/18 · openalex created_date 2025/10/19 · openalex updated_date 2026/07/28

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.

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