The Brachistochrone Problem: How the Cycloid went from zero to hero

An expository paper on everything needed to know about the Brachistochrone Problem. This paper takes a dive into the history of the problem, how it was solved, and a deep dive into the solution. After the solution, we take a step into modern applications, and finally the big takeaway.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-17
DOI
https://doi.org/10.5281/zenodo.22819672
Primary Topic
Experimental and Theoretical Physics Studies
Type
preprint
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The Brachistochrone Problem: How the Cycloid went from zero to hero

Shree Nair
Zenodo (CERN European Organization for Nuclear Research)
Experimental and Theoretical Physics Studies
preprint

The Brachistochrone Problem: How the Cycloid went from zero to hero

Shree Nair
preprint en

Abstract

An expository paper on everything needed to know about the Brachistochrone Problem. This paper takes a dive into the history of the problem, how it was solved, and a deep dive into the solution. After the solution, we take a step into modern applications, and finally the big takeaway.

Zenodo (CERN European Organization for Nuclear Research)
Experimental and Theoretical Physics Studies
DOIOpen Access PDFOpenAlex
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The Brachistochrone Problem: How the Cycloid went from zero to hero — Shree Nair · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS