The cycloid as brachistochrone: A one-page proof, from first principles, without calculus
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912687197257728 |
|---|---|
| author | Putland, Gavin R. |
| author_facet | Putland, Gavin R. |
| contents | Johann Bernoulli's optical solution of the brachistochrone problem is rebuilt on underlying (non-optical) principles. An "optical interpretation" is given afterwards. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_22548 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The cycloid as brachistochrone: A one-page proof, from first principles, without calculus Putland, Gavin R. Classical Physics History and Overview Popular Physics 49 (Primary) 51, 70, 78, 97 (Secondary) Johann Bernoulli's optical solution of the brachistochrone problem is rebuilt on underlying (non-optical) principles. An "optical interpretation" is given afterwards. |
| title | The cycloid as brachistochrone: A one-page proof, from first principles, without calculus |
| topic | Classical Physics History and Overview Popular Physics 49 (Primary) 51, 70, 78, 97 (Secondary) |
| url | https://arxiv.org/abs/2507.22548 |