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| Name | A Truly Crazy "Right" Triangle |
| Video Uploader | Video From polymathematic |
| Upload Date | This Video Uploaded At 03-02-2024 00:00:29 |
| Video Discription | Check out the main channel @polymathematic ! In today's video, I'm tackling the fascinating equation "π^4 + π^5 ≈ e^6" and bringing it to life through geometry. I'll show you how I turn this abstract mathematical statement into a tangible geometric figure - almost a right triangle with sides of π^2, π^(2.5), and a hypotenuse eerily close to e^3. Using Pythagoras' theorem as my guide, I dive into the relationship between π and e, dissecting how these transcendental numbers interact in a geometric setting. We'll walk through the algebra needed to morph our initial equation into this geometric wonder, all the while understanding the precision and boundaries of such an approximation. It's a journey from the realm of algebra into the visual world of geometry, shedding light on the intriguing dance between π and e. With great thanks to John Cook who first introduced me to this approximation. You can find more of his work here: https://www.johndcook.com/blog/. #PiAndEUnveiled #GeometricMath #AlgebraMeetsGeometry Follow Tim Ricchuiti: TikTok: https://www.tiktok.com/@polymathematic Mathstodon: https://mathstodon.xyz/@polymathematic Instagram: https://www.instagram.com/polymathematicnet Reddit: https://www.reddit.com/user/polymath-matic Facebook: https://www.facebook.com/polymathematic Watch more Math Videos: Math Minis: https://www.youtube.com/playlist?list=PLrc8spN1b3jkQynJ5heNvSs72gCPj_hwj Math Minutes: https://www.youtube.com/playlist?list=PLrc8spN1b3jmVFYwHiuMzCYJ0y_yiwUge Number Sense: https://www.youtube.com/playlist?list=PLrc8spN1b3jksKkY_oarNFEFAHjrIV97U MATHCOUNTS: https://www.youtube.com/playlist?list=PLrc8spN1b3jlqDkZXtby9lnEaOBy7-ZY0 [7iPIJ216qOM] |
| Category | Education |
| Tags | Pi | Euler's number | transcendental numbers | Pythagorean theorem | algebra vs geometry | geometric visualization | right triangle | mathematical exploration | high school mathematics | math education | understanding algebra through geometry | visualizing math concepts | geometry in math | algebraic geometry | mathematical constants | advanced mathematics | math theory | math tutorials | geometry tutorials | algebraic expressions | math problem solving | visual math learning | math for students |
