Mediant Inequality from Slopes @MathVisualProofs

Uploaded September 2025 | Updated September 2026, 2 weeks ago

This is a short, animated visual proof demonstrating what one might call the mediant inequality.

If you like this video, consider subscribing to the channel or consider buying me a coffee: buymeacoffee.com/VisualProofs. Thanks!

For an alternate visual proof of this fact, see:
youtu.be/RKeBuWL1B4A
youtube.com/shorts/cI92ZID95g4

youtu.be/pODylgdI3p8

For the wide format of this video, see:

youtu.be/AuxqpiDTCyU?si=kLa0Un4L8ADM6a_q

This animation is based on a visual proof by Li Changming from the January 1988 issue of Mathematics Teacher (jstor.org/stable/27965677 - page 63).

#math #inequality #numbertheory #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #fractions #mediant #mathematics #fareyfractions #farey #mathshorts #mathvideo

To learn more about animating with manim, check out:
https://manim.community

$Mediant Inequality from Slopes This is a short, animated visual proof demonstrating what one might call the mediant inequality. If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks! For an alternate visual proof of this fact, see: https://youtu.be/RKeBuWL1B4A https://youtube.com/shorts/cI92ZID95g4 https://youtu.be/pODylgdI3p8 For the wide format of this video, see: https://youtu.be/AuxqpiDTCyU?si=kLa0Un4L8ADM6a_q This animation is based on a visual proof by Li Changming from the January 1988 issue of Mathematics Teacher (https://www.jstor.org/stable/27965677 - page 63). #math #inequality #numbertheory #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #fractions #mediant #mathematics #fareyfractions #farey #mathshorts #mathvideo To learn more about animating with manim, check out: https://manim.community$

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Mathematical Visual Proofs |

Mediant Inequality from Slopes