Why slicing a cone gives an ellipse

The video explores the beauty of mathematics through the concept of ellipses, presenting three geometric definitions: stretching a circle, the thumbtack and string method, and slicing a cone. It delves into the equivalence of these definitions, focusing on the Dandelin spheres proof, which demonstrates the constant focal sum property of ellipses. The video concludes by reflecting on the creativity and systematic approach in mathematical proofs, emphasizing the importance of showing equivalences in math.

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