Aristarchus's Inequality (visual proof)

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This is a short, animated visual proofs of the Aristarchus's inequality using the concavity of the sine and tangent functions. #mathshorts #mathvideo #math #aristarchusinequality #aristarchus #inequality #logarithm #tangentfunction #sinefunction #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof

To learn more about animating with manim, check out:
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I got recommended this while listening to music, best random recommendation ever. Thanks.

rlc_-ofrg
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I’ve taken to using screenshots of these to work through later, and it’s really fun to let those little “aha’s” develop! This was a surprisingly simple, yet very elegant proof, and I thought your video explained it really nicely, in a succinct way. Thanks!

benmathewson
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Thanks for telling how to make animations. I want to make videos for kids to teach them numbers and to count.

yolamontalvan
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man thanks a lot, your channel is a blessing. I used to find maths so annoying and boring until i found your channel.

Enchanterrio
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How do you make this type of animation?

shakhawathossainshaown