Ellipses have multiple definitions, how are these the same?

Опубликовано: 19 Январь 2024
на канале: 3Blue1Brown
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A link to the full video is at the bottom of the screen.
Or, for reference:    • Why slicing a cone gives an ellipse (...  

The full video this comes from proves why slicing a cone gives the same shape as the two-thumbtacks-and-string construction, which is beautiful.

Editing from long-form to short by Dawid Kołodziej