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| Hovedforfatter: | |
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| Format: | Recurso digital |
| Sprog: | engelsk |
| Udgivet: |
Zenodo
2026
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| Online adgang: | https://doi.org/10.5281/zenodo.19087585 |
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| _version_ | 1866901075764707328 |
|---|---|
| author | Redzic, Sanjin |
| author_facet | Redzic, Sanjin |
| contents | <p>A geometric derivation of π from the total angular sweep of the tangent line to y = x², starting from the simplest non-constant function f(x) = x. The construction requires no trigonometric identities, series expansions, or appeal to the unit circle. Connections to the Poisson kernel, total curvature, and the Gauss–Bonnet theorem show that π emerges as a signature of Euclidean flatness. Interactive visualization at <a href="https://ninjas1337.github.io/Pi-From-A-Sliding-Ruler-On-A-Parabola">https://ninjas1337.github.io/Pi-From-A-Sliding-Ruler-On-A-Parabola</a></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19087585 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Pi from a Sliding Ruler on a Parabola Redzic, Sanjin <p>A geometric derivation of π from the total angular sweep of the tangent line to y = x², starting from the simplest non-constant function f(x) = x. The construction requires no trigonometric identities, series expansions, or appeal to the unit circle. Connections to the Poisson kernel, total curvature, and the Gauss–Bonnet theorem show that π emerges as a signature of Euclidean flatness. Interactive visualization at <a href="https://ninjas1337.github.io/Pi-From-A-Sliding-Ruler-On-A-Parabola">https://ninjas1337.github.io/Pi-From-A-Sliding-Ruler-On-A-Parabola</a></p> |
| title | Pi from a Sliding Ruler on a Parabola |
| url | https://doi.org/10.5281/zenodo.19087585 |