<center> [![](https://img.3speakcontent.online/wrbdjoiq/thumbnails/default.png)](https://3speak.tv/watch?v=mes/wrbdjoiq) ▶️ [Watch on 3Speak](https://3speak.tv/watch?v=mes/wrbdjoiq) </center> --- In this video I go over some of the amazing real-world applications of ellipses due to their unique reflective property which I derived in my last video, so make sure to watch that proof video! Some of the applications include Lithotripsy, Whispering Galleries, and even in Ellipse Billiards Tables. In Lithotripsy, device known as a Lithotripter which is usually ellipsoidal (a 3D ellipse) in shape, and involves sending high-intensity soundwaves, known as shockwaves, from a source located at one focus of the ellipsoid which bounce of the reflective walls and towards the other focus, which is usually aimed at kidney stones or gallstones through an X-Ray targeting device. Whispering Galleries use the ellipse reflection property to send sound from one focus towards the other, which allows for even the smallest of sounds to be overheard many feet away! Playing pool (or billiards) with an ellipse shaped table adds the unique ability to aim the ball at the focus which could make putting the ball in the hole, at the other focus, an interesting trick shot. The reflective property of the ellipse, as proved in my earlier video, matches the Law of Reflection which states that the angle of light, or sound, that hits a reflective surface such as a mirror gets reflected off in the same angle as intuitively expected. Thus this explains why the ellipse has very cool real-world applications. In this video I also go over some amazing architecture and artwork involving ellipses, which make real-life appear to be photoshopped. This is a very instructive video on the real world applications of mathematics so make sure to watch this video! Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhvlkta0VwPQjAIWVUw View video notes on the Hive blockchain: https://peakd.com/mathematics/@mes/video-notes-conic-sections-ellipses-applications-lithotripsy-and-whispering-galleries-elliptical-artwork Related Videos: Conic Sections: Ellipses: Example 3: Amazing Reflective Property: [https://youtu.be/H5IPfg3HSRU](https://youtu.be/H5IPfg3HSRU) Conic Sections: Ellipses: Example 2: Vertical Ellipse: [https://youtu.be/cK0z2ZMC1fU](https://youtu.be/cK0z2ZMC1fU) Conic Sections: Ellipses: Example 1: [https://youtu.be/m9FXGv3kMkk](https://youtu.be/m9FXGv3kMkk) Conic Sections: Ellipses: Definition and Derivation of Formula (Including Circles): [https://youtu.be/9dETsJ2tz_M](https://youtu.be/9dETsJ2tz_M) Conic Sections: Parabolas: Definition and Formula: [https://youtu.be/kCJjXuuIqbE](https://youtu.be/kCJjXuuIqbE) . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Gab: https://gab.ai/matheasysolutions Minds: https://minds.com/matheasysolutions Twitter: https://twitter.com/MathEasySolns Facebook: https://fb.com/MathEasySolutions LinkedIn: https://mes.fm/linkedin Pinterest: https://pinterest.com/MathEasySolns Instagram: https://instagram.com/MathEasySolutions Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps --- ▶️ [3Speak](https://3speak.tv/watch?v=mes/wrbdjoiq)
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Elliptic curves are powerful branch of modern mathematics.
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Yup!
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