What does genius look like in math? Where does it come from? (Dandelin spheres)

The video explores the beauty of math through the concept of ellipses, explaining three geometric definitions: stretching a circle, the thumbtack and string method, and slicing a cone. It delves into the concept of eccentricity, comparing Earth's orbit and Halley's comet. The video then presents a proof of the equivalence of these definitions using Dandelin spheres, highlighting the creative process in mathematical discovery. The proof demonstrates how different geometric constructions can lead to the same result, emphasizing the importance of equivalences in math.

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