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submitted 9 months ago by simple@lemm.ee to c/videos@lemmy.world
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[-] protist@mander.xyz 10 points 9 months ago

I did not watch this video but did read about this math. Visualize the larger circle unwrapped into a flat line, and the smaller circle sliding along the length of the line so its bottom point is fixed to the line. You'll see the small circle never rotates. Now slide the small circle with a point fixed onto the large circle in the same way, and you'll see the small circle makes one complete rotation. That rotation happens in addition to the rotations you get from dividing the larger circumference by the smaller circumference, so the answer is 4 in this case

[-] ___f____g___@lemmy.ca 2 points 9 months ago
[-] protist@mander.xyz 10 points 9 months ago* (last edited 9 months ago)

That's what you'd think, but there's an extra rotation involved in the act of the small circle moving around the larger circle rather than along a straight line, so it's (6π/2π) + 1

[-] ___f____g___@lemmy.ca 4 points 9 months ago* (last edited 9 months ago)

I just watched the video, that's really interesting. Thanks for the explanation

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this post was submitted on 01 Dec 2023
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