The Focus of a parabola rolling along another traces out a straight linepic.twitter.com/3KHgaUexvU
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I should also mention that all parabolas have to be identical .. oops
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And what is the function if you want it to follow a circle with elastic cogs under pressure?
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There’s a vid on youtube that shows that all paraboloids in R2 are equal, so then doesn’t this hold then?
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Then that line is the directrix of the stationary parabola
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It's implied
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What happens if they aren't identical?
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