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| Main Author: | |
|---|---|
| Format: | Recurso digital |
| Language: | English |
| Published: |
Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.19087585 |
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Table of 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>