Parametric proofs of the Pythagorean theorem via ziggurats and pyramids
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912680552431616 |
|---|---|
| author | Navas, Andrés |
| author_facet | Navas, Andrés |
| contents | We propose two new proofs of the Pythagorean theorem via area rearrangement arguments starting from very simple geometric configurations. The constructions depend on an angular parameter, each choice of which yields a proof. For specific values of the parameter, we recover some classical and more recent proofs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_00089 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Parametric proofs of the Pythagorean theorem via ziggurats and pyramids Navas, Andrés General Mathematics 01-02, 51-03, 97G30, 97G99, 97U99 We propose two new proofs of the Pythagorean theorem via area rearrangement arguments starting from very simple geometric configurations. The constructions depend on an angular parameter, each choice of which yields a proof. For specific values of the parameter, we recover some classical and more recent proofs. |
| title | Parametric proofs of the Pythagorean theorem via ziggurats and pyramids |
| topic | General Mathematics 01-02, 51-03, 97G30, 97G99, 97U99 |
| url | https://arxiv.org/abs/2511.00089 |