Uploaded September 2024 | Updated September 2026, 2 weeks ago
This is a short, animated visual proof of the Pythagorean theorem (the right triangle theorem) following essentially Bhāskara's proof (Behold!). This theorem states the square of the hypotenuse of a right triangle is equal to the sum of squares of the two other side lengths.
Here is a bit longer version: youtu.be/I75HYC8TRNY
If you like this video, consider subscribing to the channel or consider buying me a coffee: buymeacoffee.com/VisualProofs. Thanks!
This animation is based on a proof due to Bhāskara. For a static version of this proof, see Roger Nelsen's first "Proof Without Words: Exercises in Visual Thinking" compendium (page 4). You can also check out Howard Eves' "Great Moments in Mathematics (Before 1650)" page 29-32.
Check out Roger's book on Amazon (affiliate link to follow; I may receive a small commission): amzn.to/3SjsqEh
For other proofs of this same fact check out:
youtu.be/q28H5NY5UVU
youtu.be/yfGtbNgcrQ8
youtu.be/JRjPsuJ7S-g
youtu.be/TsKTteGJpZU
youtu.be/ZlGaQdNRdqA
youtu.be/uqGjs_n-f7U
youtu.be/wWEZ-rUlBDQ
#math #manim #pythagoreantheorem #pythagorean #triangle #animation #theorem #pww #proofwithoutwords #visualproof #proof #mathshorts #mathvideo
To learn more about animating with manim, check out:
https://manim.community
This is a short, animated visual proof of the Pythagorean theorem (the right triangle theorem) following essentially Bhāskara's proof (Behold!). This theorem states the square of the hypotenuse of a right triangle is equal to the sum of squares of the two other side lengths.
Here is a bit longer version: youtu.be/I75HYC8TRNY
If you like this video, consider subscribing to the channel or consider buying me a coffee: buymeacoffee.com/VisualProofs. Thanks!
This animation is based on a proof due to Bhāskara. For a static version of this proof, see Roger Nelsen's first "Proof Without Words: Exercises in Visual Thinking" compendium (page 4). You can also check out Howard Eves' "Great Moments in Mathematics (Before 1650)" page 29-32.
Check out Roger's book on Amazon (affiliate link to follow; I may receive a small commission): amzn.to/3SjsqEh
For other proofs of this same fact check out:
youtu.be/q28H5NY5UVU
youtu.be/yfGtbNgcrQ8
youtu.be/JRjPsuJ7S-g
youtu.be/TsKTteGJpZU
youtu.be/ZlGaQdNRdqA
youtu.be/uqGjs_n-f7U
youtu.be/wWEZ-rUlBDQ
#math #manim #pythagoreantheorem #pythagorean #triangle #animation #theorem #pww #proofwithoutwords #visualproof #proof #mathshorts #mathvideo
To learn more about animating with manim, check out:
https://manim.community
